Answer:
This firm is experiencing Decreasing return to scale
Explanation:
ATC = TC/Q
ATC (2,000) = $4,000/2000 unit = 2
ATC (2,300) = $4,100/2,300 unit = 1.78
ATC (2,600) = $4,200/2600 unit = 1.62
The ATC is decreasing, hence it is decreasing return to scale.
In order to determine the average variable cost, the firm's variable costs are divided by _______________________.
Answer:
total output.
Explanation:
for example, a company manufactures 10,000 units of A. Its total variable costs are $50,000, and its total fixed costs are $25,000.
The average variable cost = $50,000 / 10,000 = $5 per unit of A
The average fixed cost = $25,000 / 10,000 = $2.50 per unit of A
The average total cost = $75,000 / 10,000 = $7.50 per unit of A
Explain why high-performance value-added salespeople earn much more than high- performance transactional salespeople g
Answer with Explanation:
The Value-added salespersons are the one with better qualification, trainings, experience and have thorough understanding how the sales mechanism would better work in different circumstances and thus are far much better than the transaction salespeople. Furthermore, they are the one who knows what the customer is desiring and this helps them in adding value to their operations and product. Whereas transactional salesperson add very little value to sell the product because the customer knows about the product features and the presence of the transactional salesperson doesn't have any significant impact on the customer perception.
Gwyneth owns a firm and wants to minimize the cost of producing output Q. Her production function is Q
Answer:
The answer is "1".
Explanation:
Some of the data is missing in the question, that will be defined in the attached file. please find it.
In the given EOS the C-D function:
[tex]= [\frac{d(\frac{K }{ L})}{d \ MRTS} \times \frac{MRTS}{(\frac{K}{L})}][/tex]
The MRTS value = [tex]\frac{1}{2} \times \frac{K-1}{2L} \times \frac{1}{4} \times \frac{1}{4} \times \frac{K1}{2L} - \frac{3}{4}[/tex]
[tex]= \frac{K}{2L}[/tex]
Rearrange it
[tex]\to \frac{K }{ L} = 2 \times MRTS \\\\ \to \frac{d(\frac{K}{L})}{d(MRTS) }= 2\\\\[/tex]
Replace the values in formula elasticity:
[tex]=2 \times \frac{( \frac{K}{2L})}{(\frac{K}{L})} \\\\ =2 \times \frac{K}{2L} \times \frac{L}{K} \\\\ =2 \times \frac{1}{2} \\\\= 1[/tex]
Consider the single factor APT. Portfolio A has a beta of 1.8 and an expected return of 21%. Portfolio B has a beta of .8 and an expected return of 21%. The risk-free rate of return is 12%. If you wanted to take advantage of an arbitrage opportunity, you should take a short position in portfolio __________ and a long position in portfolio _________.
A: A;A
B: A;B
C: B;B
D: B;A
Answer:
... you should take a short position in portfolio A and a long position in portfolio B.
B: A;BExplanation:
Portfolio A:
21% = 12% + 1.8F
1.8F = 9%
F = 5%
Portfolio B:
21% = 12% + 0.8F
0.8F = 9%
F = 11.25%
Since Portfolio B's F = 11.25% > Portfolio A's F = 5%, then you should take a short position in Portfolio A and a long position in Portfolio B.
Capital gains that are realized upon the sale of a municipal security are:________
I subject to Federal Tax
II exempt from Federal Tax
III subject to State and Local Tax
IV exempt from State and Local Tax
A. I and III
B. I and IV
C. II and III
D. II and IV
Answer:
A. I and III
Explanation:
Capital gains on the municipal securities are taxable at the Federal, State and Local Level. Only the interest income from the municipal securities will be exempted from the Federal income tax.
Dawson Toys, Ltd., produces a toy called the Maze. The company has recently established a standard cost system to help control costs and has established the following standards for the Maze toy:________. Direct materials: 6 microns per toy at $0.50 per micron Direct labor: 1.3 hours per toy at $8 per hour During July, the company produced 3,000 Maze toys. Production data for the month on the toy follow:________. Direct materials: 25,000 microns were purchased at a cost of $0.48 per micron. 5,000 of these microns were still in inventory at the end of the month. Direct labor: 4,000 direct labor-hours were worked at a cost of $36,000.Required:1. Compute the following variances for July:________.a. Direct materials price and quantity variances.b. Direct labor rate and efficiency variances.2. Prepare a brief explanation of the possible causes of each variance.
Answer:
a. Direct materials price and quantity variances.
Direct materials price variance = -$500 favorable (the materials were purchased at a lower cost than budgeted)Direct materials quantity variance = $1,000 unfavorable (since they purchased cheaper materials, they probably were low quality and needed more materials per toy)b. Direct labor rate and efficiency variances.
Direct labor rate variance = $4,000 unfavorable (labor costs per hour were higher than budgeted)Direct labor efficiency variance = $800 unfavorable (this might be related to the low level materials purchased that resulted in more time per toy)Explanation:
standard rates:
direct materials: 6 microns per toy at $0.50 per micron
direct labor: 1.3 hours per toy at $8 per hour
actual production and costs:
3,000 maze toys
25,000 microns purchased (5,000 microns remaining in inventory, so actual usage was 20,000 microns) at $0.48 per micron
4,000 hours of direct labor at $9 per hour
Direct materials price variance = (AP - SP) x AQ: we have to use total microns purchased for this variance
Direct materials price variance = ($0.48 - $0.50) x 25,000 = -$500 favorable
Direct materials quantity variance = SP x (AQ - SQ) = $0.50 x (20,000 - 18,000) = $1,000 unfavorable
Direct labor rate variance = (AR - SR) x AH = ($9 - $8) x 4,000 = $4,000 unfavorable
Direct labor efficiency variance = SR x (AH - SH) = $8 x (4,000 - 3,900) = $800 unfavorable
A monopolistically competitive firm usually charges more than a perfectly competitive firm because:_____.
a. it is part of a group of firms that has formally agreed to control the price and the output of a product.
b. its primary goal is to reap monopoly profits by replacing competition with cooperation.
c. producing homogenous output is more expensive than producing differentiated output.
d. producing differentiated output is more expensive than producing homogenous output.
e. it has a monopoly, but potential entrants exist in the form of contestable markets.
Answer:
a. it is part of a group of firms that has formally agreed to control the price and the output of a product.
Explanation:
A monopolistic competitive firm ensures that, the price of goods and the output of the products produced by them is controlled. This helps them to dictate the market in which they find themselves in.
If you were evaluating an investment opportunity, which technique would you use and why?
The weighted average cost of capital can consist of debt, preferred stock and equity. Which of these sources is the most expensive and the least expensive and why?
Answer:
1. Net Present Value
First off it is important to note that every investment is different and should be evaluated by a method that will take into account it uniqueness. However, I would choose the Net Present Value method of evaluation because it combines some very useful features from other methods to make it the best one in general.
The Net Present Value checks when an project will be able to pay back the investment that was put into it given the cash inflows from the project and it uses the present value of the cash inflows to do so. This means that in using the NPV method, the time value of money is factored in so that real analysis can be done.
The risk factor of the project is also reflected in the rate used which will enable one know if it is a project they would be interested in in case the rate is too high considering their company's cost of capital.
2. The most expensive form of capital is Equity. This is because it does not have a fixed cost and this varies depending on the profits that the company makes. It is also not tax deductible like debt.
The least expensive form of capital is Debt. Debt has a fixed rate which can be planned for. It is also tax deductible which means that paying off debt reduces tax expense thus making it cheaper.
"If the previous chart measures CaliMart’s revenues in millions of dollars, how much money did CaliMart make in 2005"
Answer: $12 million
Explanation:
In 2009, Cali made a revenue of $26 million.
In 2005, Cali made a revenue of $14 million.
= 26 - 14
= $12 million
Cali made $12 million more in 2009 than in 2005.
Under the gross method, ________. A. the processing fees charged are deducted from the company's bank account by the credit card processor B. the total sales plus the processing fee assessed equals the net amount of cash deposited C. the proceeds from debit and credit card transactions are deposited on the last day of the month D. there will be no fee charged by the credit card processor for the transaction
Answer: . A. the processing fees charged are deducted from the company's bank account by the credit card processor
Explanation:
Gross method is simply used for recording purchases made by th customers at full invoice price. It should be noted that there are no deduction in cash discounts.
Under the gross method, the processing fees charged are deducted from the company's bank account by the credit card processor.
The Blooming Flower Co. has earnings of $1.48 per share. a. If the benchmark PE for the company is 15, how much will you pay for the stock?
Answer:
$22.20
Explanation:
Using the equation to calculate the price of a share of stock with the PE ratio:
P = Benchmark PE ratio * EPS
So, with a PE ratio of 15
P = 15*($1.48)
P = $22.20
PharmY, Inc., is a U.S. GAAP reporter that is in the pharmaceutical industry. In the current year, PharmY incurred expenditures related to laboratory experiments designed to discover a new drug. The expenditures were as follows:
Laboratory equipment that will be used for this project only $1,000,000
Materials that will be used for this project only 750,000
Wages for employees involved exclusively in the project 500,000
Search the Codification to determine how to record each type of cost. Write a memo to the file to commu- nicate your results
Answer with Explanation:
Tangible assets fall under the scope of International Accounting Standard IAS-36 Property, Plant and Equipment which says that assets that qualify following conditions, must be capitalized:
Assets that have life expectancy of more than a year.Benefits of the Assets are controlled by the entity that will flow towards the company.Now here, the life expectancy of laboratory equipment is unknown and also that we don't know if the asset can be resold in the market or not. This means, if the asset has life expectancy is no more than a year and that the future benefits will flow towards the company then it must be capitalized otherwise it must be expensed out as per the guidelines of International Accounting Standard IAS-38 Intangible Assets, which says that the research cost prior to the development expenditure must be expensed out.
The other two costs are revenue expenditure and must be expensed out under the name research and development cost as per the guidelines of IAS-38.
Puffy's Pastries generates five cents of net income for every $1 in equity. Thus, Puffy's has _______ of 5 percent.
Answer: return on equity
Explanation:
The return on equity is simply a measure of how profitable a business will be when it's being compared to its equity. Return on equity is the net income divided by the equity. It can also be gotten when liabilities is deducted from assets.
In the above analysis, return on equity equals 5% because 100 cents make 1 dollar. Therefore, 5/100 × 100 gives 5%.
You have a machine that is staffed 8 hours per day. The average throughput rate is 28 batches per day, and the setup time is 5 minutes per batch. The plant operates 16 hours per day but the machine is staffed for 8 hours. Calculate:a. Average processing time per unitb. MTT per unit
Answer:
The average processing time per unit = 1.46 minutes per unit
MTT per unit 0.25 minutes per unit
Explanation:
Given that:
number of hours per day for a machine = 8 hours per day
The average throughput rate = 28 batches per day
the setup time = 5 minutes per batch
Plant operating hours = 16 hours per day
To calculate:
a. Average processing time per units is determined by evaluating the average processing time per batch.
Using the following formula:
Average processing time per units = Total available time ÷ batches per day
where;
Total available time = Operating time per day - batches setup time
Total available time = (16 × 60 )minutes - (28 batches × 5 minutes)
= 960 - 140 = 820 minutes per day
∴
Average processing time per batch = 820 minutes ÷ 28 batches = 29.29
NOW, Average processing time per units = Average processing time per batch ÷ batch size
= 29.29 ÷ 20 = 1.46 minutes per unit
b) MTT per unit
The MTT per unit can be computed by using the formula
MTT per unit = Setup time ÷ batch size
MTT per unit = 5 minutes ÷ 20 minutes
MTT per unit = 0.25 minutes per unit
A large electric utility company spews million tons of greenhouse gases (mostly carbon dioxide) into the environment each year. This company has committed to spending $ billion in capital over the next five years to reduce its annual emissions by %. More will be spent after five years to reduce greenhouse gases further. a. What is the implicit cost of a ton of greenhouse gas
This question is incomplete, the complete question is;
A large electric utility company spews 62 million tons of greenhouse gases (mostly carbon dioxide) into the environment each year. This company has committed to spending $2.7 billion in capital over the next five years to reduce its annual emissions by 4%. More will be spent after five years to reduce greenhouse gases further.
a. What is the implicit cost of a ton of greenhouse gas
b. if the United states produces 4 billion tons of greenhouse gases each year, how much capital must be spent to reduce total emission by 2% over the next five years based on your answer in part a).
Answer:
a) The implicit cost of greenhouse gas is $ 1,088.7097 per ton
b) $87.096 billion of capital must be spent to reduce total emissions by 2% over the next five years.
Explanation:
Given that;
Annual Emission = 62 million tons
Capital Spending = $2.7 billion
Annual Emission reduction = 5%
partA
Reduction in Emission = 62 million tons per year × 4/100 = 2.48 million tons of greenhouse gas per year
Implicit cost of reducing 1 ton of carbon dioxide = Cost invested / Annual gas release after reduction.
= $2.7 billion / $2.48 million = 2.7 × 10⁹ / 2.48 × 10⁶ = 1088.709 7
∴ The implicit cost of greenhouse gas is $ 1088.7097 per ton
part B
Reduction in Emission = 4 billion tons per year × 2/100 = 80,000,000 tons
Total Cost = 1088.709 × 80,000,000 = $87.096 billion
∴ $87.096 billion of capital must be spent to reduce total emissions by 2% over the next five years.
a) The implicit cost of greenhouse gas is $ 1,088.7097 per ton
b) $87.096 billion of capital must be spent to reduce total emissions by 2% over the next five years.
Given that;
Annual Emission = 62 million tons Capital Spending = $2.7 billion Annual Emission reduction = 5%
(a)
Reduction in Emission = 62 million tons per year × 4%
= 2.48 million tons of greenhouse gas per year
Now
Implicit cost of reducing 1 ton of carbon dioxide = Cost invested ÷ Annual gas release after reduction.
= $2.7 billion ÷ $2.48 million
= 2.7 × 10⁹ ÷ 2.48 × 10⁶
= 1088.709 7
(b)
Reduction in Emission = 4 billion tons per year × 2%
= 80,000,000 tons
Total Cost = 1088.709 × 80,000,000
= $87.096 billion
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Portions of the financial statements for Peach Computer are provided below.
PEACH COMPUTER
Income Statement
For the year ended December 31, 2018
Net sales $1,725,000
Expenses:
Cost of goods sold $1,020,000
Operating expenses 530,000
Depreciation expense 47,000
Income tax expense 37,000
Total expenses 1,634,000
Net income $ 91,000
PEACH COMPUTER
Selected Balance Sheet Data
December 31
2018 2017 Increase (I)
or
Decrease (D)
Cash $99,000 $83,500 $15,500 (I)
Accounts receivable 46,300 50,500 4,200 (D)
Inventory 72,000 53,500 18,500 (I)
Prepaid rent 2,700 4,400 1,700 (D)
Accounts payable 42,000 35,500 6,500 (I)
Income tax payable 4,700 8,500 3,800 (D)
Required:
Prepare the operating activities section of the statement of cash flows for Peach Computer using the DIRECT method. (List cash outflows as negative amounts.)
Answer:
$128,100
Explanation:
PEACH Computer
Statement of cash flow using direct method for the year ended 31 December 2018.
Cash flows from operating activity
Net income. $91,000
Adjustment to reconcile net income to net cash from operations
Depreciation expense. $47,000
Changes in working capital
Decrease in accounts re. $4,200
Increase in inventory. ($18,500)
Decrease in prepaid rent $1,700
Increase in accounts Payable $6,500
Decrease in Income tax Payable ($3,800)
Net cash flow from operating activities
$128,100
Which type of interpersonal influences would be represented by a project manager that has a command of technology
Answer: expert power
Explanation:
The type of interpersonal influences that would be represented by a project manager that has a command of technology is the expert power.
Expert power is the use of expert knowledge to get ones subordinate to follow orders or instructions given to them. The subordinate believe that the leader has expert knowledge or skills which they don't have.
U.S. corporations account for 45% of global corporate wealth. An investor that has an objective of global investing would
Answer:
Explanation:
An investor that has this objective would spread its investments across both domestic and foreign securities, weighting investments based on performance expectations. This is because global investing focuses on investing in different countries around the world, while targeting the countries that are projected to experience faster growth than the rest of the world. Therefore diversifying the individual's portfolio in many of these types of countries would follow a global investment strategy.
You work for an automotive parts distributor based in Ohio that is expanding operations in China. Management and operations employees that will be working with the Chinese division have been taking classes on Chinese culture and business customs.
a) Self-directed work groups and virtual teams
b) Heightened global competition
c) Changing communication technologies
Answer:
b) Heightened global competition
Explanation:
Since in the question it is mentioned that working as a distributor of an automative part i.e. based on the Ohia diversifies its business operations in China. Also the employees and the management are working with this division and taking the classes on the chinese culture and their customs in order to feel comfortable
So this scenario represents that the global competition is on the peak
Therefore the option b is correct
The income statement and additional data of Rolling Hills Corporation follow Prepare Rolling Hills Corporation's statement of cash flows for the year ended June 30, 2018. Use the direct method. (Use parentheses or a minus sign for numbers to be subtracted. If a box is not used in the statement leave the box empty; do not select a label or enter a zero.) Complete the statement one section at a time, beginning with the cash flows from operating activities. Rolling Hills Corporation Statement of Cash Flows Year Ended June 30, 2018 Cash Flows from Operating Activities Receipts Total Cash Receipts Payments Total Cash Payments Net Cash Provided by (Used for) Operating Activities
Rolling Hills Corporation Income Statement Year Ended June 30, 2018 Net Sales Revenue Cost of Goods Sold Gross Profit Operating Expenses $ 228,000 109,000 119,000 Salaries Expense Depreciation Expense-Plant Assets Advertising Expense Total Operating Expenses $ 44,000 22,000 14,000 80,000 39,000 Operating Income Other Income and (Expenses) Dividend Revenue Interest Expense Total Other Income and (Expenses) 7,500 (5,000) Net Income Before Income Taxes Income Tax Expense Net Income 2,500 41,500 7,000 $ 34,500
a. Collections from customers are $17,000 more than sales. b. Dividend revenue interest expense, and income tax expense equal their cash amounts. c. Payments to suppliers are the sum of cost of goods sold plus advertising expense d. Payments to employees are $1,000 more than salaries expense. e. Cash payment for the acquisition of plant assets is $104,000 f. Cash receipts from sale of land total $21,000 g. Cash receipts from issuance of common stock total $34,000 h. Payment of long-term notes payable is $20,000 i. Payment of dividends is $9,500. Cash balance at June 30, 2017, was $26,000; at June 30, 2018, it was $20,000
Answer:
Rolling Hills Corporation
Statement of Cash Flows for the year ended June 30, 2018, using the direct method:
Cash flows from operating activities:
Cash collections from customers $ 245,000
Cash paid to suppliers (123,000)
Cash to employees: ($45,000)
Income tax ($7,000)
Net Cash from operating activities $70,000
Net Cash Provided by (Used for) Operating Activities $70,000
Cash flows from investing activities:
Cash for plant acquisition ($104,000)
Cash from sale of land $21,000
Cash from Dividend revenue $7,500
Net Cash flows from investing (75,500) (75,500)
Cash flows from financing activities:
Cash from issuance of common stock $34,000
Payment for long-term notes payable (20,000)
Dividends payment (9,500)
Interest (5,000)
Net Cash flows from financing activities (500) (500)
Net cash outflows (6,000)
Explanation:
a) Data and Calculations:
Rolling Hills Corporation Income Statement Year Ended June 30, 2018
Net Sales Revenue $ 228,000
Cost of Goods Sold 109,000
Gross Profit 119,000
Operating Expenses:
Salaries Expense $ 44,000
Depreciation Expense
-Plant Assets 22,000
Advertising Expense 14,000
Total Operating Expenses 80,000
Operating Income 39,000
Other Income and (Expenses)
Dividend Revenue 7,500
Interest Expense (5,000)
Total Other Income
and (Expenses) 2,500
Net Income Before Taxes 41,500
Income Tax Expense 7,000
Net Income $ 34,500
b) Cash collections from customers:
Net Sales Revenue $ 228,000
More than 17,000
Total cash collections $ 245,000
c) Cash from Dividend revenue = $7,500
d) Cash Payment:
Interest = $5,000
Income tax = $7,000
Suppliers: $123,000
e) Payment to suppliers:
Cost of goods sold 109,000
Advertising 14,000
Cash payments $123,000
f) Payment to employees:
Cash to employees: = $45,000 ($44,000 + 1,000)
g) Cash for plant acquisition = $104,000
h) Cash from sale of land = $21,000
i) Cash from issuance of common stock = $34,000
j) Payment for long-term notes payable = $20,000
k) Dividends payment = $9,500
l) Rolling Hills Corporation can use the direct method for preparing its Statement of Cash Flows for the year ended June 30, 2018. It is one of the two methods in use. The other is the indirect method. The direct method uses only the actual cash receipts and payments to prepare the statement, under the three classifications of cash flows into operating, investing, and financing activities sections.
Other things equal, the price of a stock call option is positively correlated with which of the following factors?
a. the stock price.
b. the stock volatility
c. the exercise price.
d. the time to expiration.
e. cannot be determined.
Answer:
a. the stock price.
b. the stock volatility
d. the time to expiration.
Explanation:
The price of the Call Option is positively correlated with the price of the underlying stock because a Call option gives the holder the right to buy a stock at a certain price so if the underlying stock increases in value, the call option will increase in value as well as it means that the holder might be able to buy the stock at a lower price.
Volatility also moves in the same direction as the call option price because a high volatility means there is a chance that the stock will increase past the exercise price.
Time to maturity for non-European call options is also directly related to call option price because it means that there will be more time for the stock to change in value potentially for the better thereby increasing the call option returns.
If the wagerental ratio in Japanese auto production is lower than the wagerental ratio in U.S. auto production, then:
Answer:
If the wage/rental ratio in Japanese auto production is lower than the wagerental ratio in U.S. auto production, then:
the labor wage cost when compared with another factor of production (capital or land) in Japan is lower than it is in the U.S. This implies that Japan, which has labor in abundance compared to the scarcity of labor in US, should continue auto production with labor, which is in abundance instead of using capital or another production factor, which is scarce and costly.
Explanation:
The Heckscher-Ohlin model proposed an economic model which encourages "countries to export what they can most efficiently and plentifully produce."
Thus, the model emphasizes the export of goods requiring factors of production that a country has in abundance. According to the Heckscher-Ohlin model, the wage/rental ratio, is computed with a comparison of the wage of labor to the rental price of either capital or land.
""The average daily rate charged by member banks for overnight loans of reserves" best describes the:"
Answer:
Federal funds rate
Explanation:
Federal funds rate is the interest rate at which commercial banks borrow and lend their excess reserves to each other overnight.
Consider Frank’s decision to go to college. If he goes to college, he will spend $21,000 on tuition, $11,000 on room and board, and $1,800 on books. If he does not go to college, he will earn $16,000 working in a store and spend $7,200 on room and board. What is Frank’s cost of going to college? Show the work
Answer:
wow
Explanation:
just wow
Pricing the basic product in a product line low while pricing related items at a higher level is called
Answer:
Explanation:
captive pricing
The most important strategic issue for companies to resolve when competing in international markets is
Answer:
analyze the entry requirements necessary for the international market, mainly bureaucratic requirements such as regulations, policies and initial capital.
Explanation:
Before expanding the business to an international market, a company must analyze essential strategic issues, in order to know the viability of business internationally, because although internationalization is a competitive and strategic factor for the gain of positive results, there are important barriers to considered.
The first strategic issue to be analyzed is the bureaucratic process when establishing business in a different country, as there are regulations, policies and capital requirements that vary from one country to another and the company must analyze whether such barriers will be an impediment to organizational success, or they can be beneficial to the business.
By improving the quality of goods and services produced, the ______ value of products and services is enhanced.
Answer:
functional.
Explanation:
The functional value can be perceived by the customer as a type of value that is related to the benefits and utility that a good or service will bring to satisfy his needs.
Therefore, improving the quality of the goods and services produced will increase their functional value.
Increasing the quality of goods and services may be a relevant competitive strategy for a company to achieve market advantages, since in the purchase decision process, the consumer will analyze the options on the market and choose the one that best satisfies their needs in relation to functional value of the product or service.
_________ variability is not one of the five sources of customer-induced variability.a. Arrival b. Capability c. Effort d. Demand
Answer:
Demand
Explanation:
customer-induced variability in finance can be explained as kind of co- creation that exist in customer and the service script.
It should be noted that the five sources of customer-induced variability are;
1)arrival of customers
2) Capability variability
3) effort
4) Request from customer
5) subjective reffrence
The arrival of customers shows what customers have in their own plan.
The capability variability gives the ideal about the strength of the customer concerning the service
Effort describe how willing the customer is, to give their support.
Hence among the given option only demand variability is not one of the five sources of customer-induced variability.
) A company determines that its marginal revenue per day is given by R'(t) = 100et , R(0) = 0, where R(t) = the revenue, in dollars, on the tth day. The company's marginal cost per day is given by C'(t) = 140 - 0.3t, C(0) = 0, where C(t) = the cost, in dollars, on the tth day. Find the total profit from t = 0 to t = 5 (the first 5 days). Round to the nearest dollar. Note: P(T) = R(T) - C(T) = T 0 ∫ [R'(t) - C'(t)] dt.
Answer:
$14038
Explanation:
The company has marginal revenue R'(t) = [tex]100e^t[/tex]. Therefore its revenue R(t) is given as;
R(t) = ∫R'(t)
R(t)= ∫ [tex]100e^t[/tex] dt = [tex]100e^t[/tex] + c
R(t) = [tex]100e^t[/tex] + c
But R(0) = 0, therefore:
R(0) = [tex]100e^0[/tex] + c = 0
[tex]100e^0[/tex] + c = 0
100 + c =0
c = -100
Also the marginal cost per day is given by C'(t) = 140 - 0.3t
C'(t) = 140 - 0.3t
C(t) = ∫C(t) = ∫ (140 - 0.3t) dt = 140t - (0.3/2) t² + C
But C(0) = 0
C(0) = 140 (0) - (0.3/2)(0)² + c = 0
c = 0
C(0) = 140t - (0.3/2) t²
Profit P(t) = R(T) - C(T) , hence the total profit from t = 0 to t = 5 is given as:
P(t) = [tex]\int\limits^0_5 {[R'(t)-C'(t)]} \, dt =\int\limits^0_5 {([100e^t-(140-0.3t)]} \, dt=\int\limits^0_5 {100e^t} \, dt +\int\limits^0_5 {-0.3t} \, dt +\int\limits^0_5 {-140} \, dt \\\\=[100e^t]_0^5+[ -140t]_0^5+[-0.3t^2/2]_0^5=[14841.316-100]+[-700]+[-3.75]=14038[/tex]
The profit is $14038
Which of the following marketing variables is concerned with design, quality, and packaging? O A. Promotion O B. Place O C. Price O D. Product SNBMIT
Answer:
promotiopeicen
Explanation:
product
The marketing variable that is concerned with design, quality, and packaging is product. Thus, option (D) is correct.
What is Marketing?Marketing refers to those activities which helps in the selling of the goods and services. It is the concept which starts with the creation of the idea for the fulfillment of the needs of the products. It is ending with receiving the feedback and satisfaction of the customers.
Marketing involves various activities such as product design, promotional activities, market research, quality check, distribution channels and satisfaction of the needs of the customers.
Therefore, it can be concluded that designing of the product and providing it with the optimum quality and attractive packaging is concerned with product variable of marketing mix. Hence, option (D) is correct.
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