) 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.

Answers

Answer 1

Answer:

The answer is below

Explanation:

The marginal revenue R'(t) = [tex]100e^t[/tex] and the marginal cost C'(t) = 140 - 0.3t.

The total profit is the difference between the total revenue and total cost of a product, it is given by:

Profit = Revenue - Cost

P(T) = R(T) - C(T)

P(T) = ∫ R'(T) - C'(T)

Hence the total profit from 0 to 5 days is given as

[tex]P(T) = \int\limits^0_5 {(R'(T)-C'(T))} \, dt= \int\limits^0_5 {(100e^t-(140-0.3t))} \, dt\\ \\P(T)= \int\limits^0_5 {(100e^t-140+0.3t))} \, dt\\\\P(T)= \int\limits^0_5 {100e^t} \, dt- \int\limits^0_5 {140} \, dt+ \int\limits^0_5 {0.3t} \, dt\\\\P(T)=100\int\limits^0_5 {e^t} \, dt- 140\int\limits^0_5 {1} \, dt+0.3 \int\limits^0_5 {t} \, dt\\\\P(T)=100[e^t]_0^5-140[t]_0^5+0.3[\frac{t^2}{2} ]_0^5\\\\P(T)=100(147.41)-140(5)+0.3(12.5)=14741-700+3.75\\\\P(T)=14045[/tex]


Related Questions

Why is it that incidental beneficiaries cannot enforce rights under a contract? Should they be able to enforce such rights?

Answers

Answer:

He cannot enforce or demand for any right in a contract as he was not even supposed to gain anything in the first place.

Explanation:

This is because they get unintended benefits from contracts. Incidental beneficiaries benefits from a contract even though that benefit is not part of why the contract was made. So these rights cannot even be enforced because none of the parties involved went into the contract for the sake of the incidental beneficiary. An incidental beneficiary only gets to benefit out of mere luck from two other parties therefore he cannot enforce or demand for any right. He is just a third party.

You are considering purchasing a put option on a stock with a current price of $26. The exercise price is $28, and the price of the corresponding call option is $2.65. According to the put-call parity theorem, if the risk-free rate of interest is 6% and there are 90 days until expiration, the value of the put should be ____________.

Answers

Answer: $4.24

Explanation:

According to the Put-Call Parity, the value would be expressed by;

Put Price = Call price - Stock price + Exercise price *e^-(risk free rate *T)

T is 90 days out of 365 so = 90/365

= 2.65 - 26 + 28 * 2.71 ^ (-0.06 * 90/365)

= $4.24

Answer:

-22.42

Explanation:

Given,

Stock = $26, Call = $2.65, Exercise price = $28, Risk-free rate = 6%, Time = 0.24657 (90 / 365)

The put-call parity formula is [tex]$ C+Ke^{-rT} = P+S_0 $[/tex] where:

C = Call Price, K = Exercise Price, r = Risk-Free Rate, T = Time to Expiration,

P = Put Price, and [tex]$S_0$[/tex] = Stock Price

Subtracting [tex]$S_0$[/tex] from both sides, we get

[tex]$ P=C+Ke^{-rT} -S_0 $[/tex]

[tex]$P= 2.65 + 28 e^{-(6)(0.24657)}-26 $[/tex]

[tex]$P= 2.65 + 28 e^{-(1.47942)}-26 $[/tex]

[tex]$P= 2.65 + (28) (0.033157)-26 $[/tex]

    = -22.42

Determining the Proceeds from Bond IssuesMadison Corporation is authorized to issue $500,000 of 5-year bonds dated June 30, 2019, with a stated rate of interest of 11%. Interest on the bonds is payable semiannually, and the bonds are sold on June 30, 2019.Required:
Determine the proceeds that the company will receive if it sells the following: 1. The bonds to yield 12%. 2. The bonds to yield 10%.

Answers

Answer:

1.

Bond Price = $481599.8724 rounded off to $481599.78

2.

Bond Price = $519304.3373 rounded off to $519304.34

Explanation:

1.

To calculate the price of the bond today, we will use the formula for the price of the bond. We assume that the interest rate provided is stated in annual terms. As the bond is a semi annual bond, the coupon payment, number of periods and semi annual YTM will be,

Coupon Payment (C) = 500000 * 0.11 * 0.5 =  27500

Total periods (n)= 5 * 2 =10

r or YTM = 0.12 * 0.5 = 0.06

The formula to calculate the price of the bonds today is attached.

Bond Price = 27500 * [( 1 - (1+0.06)^-10) / 0.06]  +  500000 / (1+0.06)^10

Bond Price = $481599.8724 rounded off to $481599.78

2.

Coupon Payment (C) = 500000 * 0.11 * 0.5 =  27500

Total periods (n)= 5 * 2 =10

r or YTM = 0.10 * 0.5 = 0.05

The formula to calculate the price of the bonds today is attached.

Bond Price = 27500 * [( 1 - (1+0.05)^-10) / 0.05]  +  500000 / (1+0.05)^10

Bond Price = $519304.3373 rounded off to $519304.34

An effective strategic manager will always view the organizational structure as an impediment to strategy implementation.A. TrueB. False

Answers

Answer:

B. False

Explanation:

It is false to say that an effective strategic manager will always view the organizational structure as an impediment to strategy implementation. Organizational structure is very important because it provides clarity and good guidance to the issues of human resources. It is important for strategy implementation as it promotes operational efficiency.

Amazon stock prices gave a realized return of 15​%, 12​%, 12​%, and 15​% over four successive quarters. What is the annual realized return for Amazon for the​ year?

Answers

Answer:

Annual realized rate = 0.135 or 13.5%

Explanation:

The annual realized return on the stock can be calculated by taking the weighted average of the quarterly realized returns provided by the stock. As the returns are quarterly, each return will be allocated a weight of 1/4 or 0.25 or 25%. Thus, the annual realized rate will be,

Annual Realized rate = 0.25 * 0.15  +  0.25 * 0.12  +  0.25 * 0.12  +  0.25 * 0.15

Annual realized rate = 0.135 or 13.5%

what should you use to clean and power tools?​

Answers

Heavy duty gloves
Compressed air can
Bucket
Hot water
Towels
Cleaning rags
Vinegar
WD-40 specialist degreaser
Steel wool
Toothbrush
Commercial tool cleaner

Which of the following are factors that provide legal and ethical constraints in business communication?
a) Stakeholder interests
b) Codes of ethics
c) Team synergy
d) High-touch issues

Answers

Answer:

a) Stakeholder interests

b) Codes of ethics

Explanation:

Legally a firm is to act in the best interest of its shareholders at all times. This therefore applies to Business communication which should be done only in a way that will best serve stakeholder interest with anything else being a potential breach of legality.

The firm's Code of Ethics is meant to lead the firm in an ethical manner and so they must abide by it in Business communication to ensure that the process is ethical by their own definition.

One argument for the idea that customer demands for local customization are on the decline worldwide is that

Answers

Answer: customer tastes have converged worldwide.

Explanation:

The options to the question are:

A. governments across the world are standardizing their legal procedures.

B. customer tastes have converged worldwide.

C. high costs of local customization are deterring companies from doing so.

D. managers worldwide ignore the differences in consumer tastes and preferences.

E. local and indigenous industries are increasingly filling up available demand

Local customisation is simply the implementation of creative ideas with a particular brand. argument for the idea that customer demands for local customization are on the decline worldwide is that customer tastes have converged worldwide.

Why might prevention costs be referred to as an investment while failure costs might be referred to as true costs

Answers

Answer: Prevention cost is used to protect equipments and assets and as such is an investment.

Explanation:

Prevention cost like the name suggests is a cost incurred in the process of keeping a machine or equipment in a working condition to avoid a future breakdown which might lead to a loss in profit for the company. This is why it is referred to as an investment because it is done to prevent the loss of profit due to downtime a breakdow of the machine or equipment would cause.

Failure cost is a true cost because it arises from a loss incurred by the company through production or it capital invested in the business.

A company uses the weighted average method for inventory costing. At the start of a period the production department had 28,000 units in beginning Work in Process inventory which were 44% complete; the department completed and transferred 169,000 units. At the end of the period, 26,000 units were in the ending Work in Process inventory and are 79% complete. The production department had conversion costs in the beginning goods is process inventory of $103,000 and total conversion costs added during the period are $726,925. Compute the conversion cost per equivalent unit.

Answers

Answer:

$4.38 per unit

Explanation:

The computation of the conversion cost per equivalent unit is shown below:

The conversion cost per equivalent unit is

= Total conversion cost ÷ conversion cost units

where,

Total conversion cost is

= Beginning work in process + added cost

= $103,000 + $726,925

= $829,925

And, the conversion units is

= Transferred units + ending work in process units × completion percentage

= 169,000 units + 26,000 units × 0.79

= 169,000 units + 20,540 units

= 189,540 units

So, the conversion cost per unit is

= $829,925 ÷ 189,540 units

= $4.38 per unit

$25,000, and you expect it to appreciate 10 percent per year in value, how much will your land be worth 10 years

Answers

Answer:

$64,843.56

Explanation:

If you purchase a parcel of land today for $25,000 and you expect it to appreciate 10 percent per year in value, how much will your land be worth 10 years from now.

Appreciation value = (1+r)^n × PV

Where,

r= appreciation rate = 10%

n= number of years = 10 years

PV = present value = $25,000

Appreciation value = (1+r)^n × PV

= (1 + 10%)^10 × 25,000

= (1 + 0.1) ^10 × 25,000

= (1.1)^10 × 25,000

= 2.5937424601 × 25,000

= 64,843.5615025

Approximately $64,843.56

The land will be worth $64,843.56 in 10 years from now

With respect to the consideration clause which of the following would be considered consideration on the part of the applicant for insurance?
a. notice of policy cancellation.
b. payment of prmium.
c. promise to renew the policy at the end of the policy.
d. providing warranties on the application.

Answers

Answer: b. payment of premium.

Explanation:

The Consideration clause is the condition set by the Insurance company for its coverage of a person. In other words, it is what the person is expected to do for the Insurance company to enable it to discharge its responsibilities of being able to cover a client.

In general, this is the payment of premiums along with the statements made by the applicant about themselves in the application to the insurance company.

If premiums continue being paid, the company will cover the person all else equal.

A nephew has been given a durable power of attorney over his uncle's brokerage account. Upon the death of the uncle, the power of attorney:________.

Answers

Answer:

B. is terminated

Explanation:

These are options for the question

A. remains in force

B. is terminated

C. transfers to the executor of the uncle's estate

D. transfers to the registered representative servicing the uncle's account

From the question, we were informed about that a nephew has been given a durable power of attorney over his uncle's brokerage account.

Then in the case of the death of the uncle, the power of attorney is terminated.

Power of attorney which is a written documents that gives legal appointment of person or organization to perform an action on behalf of another person. It could be on properties or materials. But since the uncle of that nephew is dead then it brings end to the power of the Anthony on the nephew.

It should be noted that only "Principal" can override the power of attorney.

A customer owns 200 shares of ABC, purchased 2 years ago at $50 per share. The current market value of ABC stock is $60 per share. If the customer gifts the stock to a charity, the result is:

Answers

Answer:

A $,2,000 short term capital gain

Explanation:

Investors in shares and other securities speculate on the price of the securities they hold. When prices rose it is a good opportunity bro sell and make profit.

This gain is often larger than what they would make from dividend payments.

In this instance he sold shares at $60 each and bought them back at $50.

The gain on this transaction is

Gain = (200 * 60) - (200 * 50)

Gain = $2,000

This is a short term gain and a holding period is not established for this transaction

Maria Maya Good X Good Y Good X Good Y 90 0 60 0 60 30 40 10 30 60 20 20 0 90 0 30 Refer to Exhibit 3. For Maya, the opportunity cost of producing one unit of good X is ___________ unit(s) of good Y.

Answers

Answer:

The answer is

0.5 units of Good Y

Explanation:

The tabulated data is not properly arranged, let me try to arrange the data:

           Maria                          Maya

Good X    Good Y           Good X    Good Y

     90          0                      60            0

     60          30                    40            10

     30          60                    20            20

     0            90                    0              30

Opportunity cost refer to the amount of benefit given up by the choosing of an alternative. In this example, as quantity of Good Y increased for Maya, the quantity of Good X reduced, hence Good X was given up to acquire Good Y

To calculate the oppotunity cost for producing one unit of good X for Maya, we will find the ratio of the difference between the highest and the lowest quatities for each good.

Good X ; (Highest quantity) - (Lowerst quantity) =  60 - 0 = 60

Good Y ; (Highest quantity) - (Lowerst quantity) =  30 - 0 = 30

∴ Opportunity cost of producing one unit of good X= 30 ÷ 60 = 0.5 units of good Y

This means that for every one unit of X produced, 0.5 unit of Y is given up in the process

Consider the following facts for health haven?
Requirements
1. How much are cash​ dividends?
2. What was the amount of the cash receipt from the sale of plant​ assets?
Requirement 1. How much are cash​ dividends?
Cash dividends are $______.
Requirement 2. What was the amount of the cash receipt from the sale of plant assets?
The cash receipt from the sale plant assets is $:_________.

Answers

Answer:

attached below is the missing part of the question

$17000

Explanation:

1) calculate the cash dividends

  = beginning earnings + net income for the period - ending retained earnings

 = $44000 + $57000 - $68000 = $33000

2 ) calculate the amount of cash receipt from the sale of plant assets

first we will calculate the dep on sale of plant products

= beginning accumulated depreciation + depreciation expense - ending accumulated depreciation

= 22500 + 12000 - 24500 = $10000

next we calculate the cost of sale of plant assets

= beginning plant asset + acquisition new plant assets - ending plant asset

= $123500 + $29000 - $131500 = $21000

Hence the cash receipt from the sale plant assets = cost of sale of plant assets - dep on sale of plant products + gain on the sale of plant assets

= 21000 - 10000 + 6000 = $17000

True or false: In a stock redemption, the stock redeemed by the corporation must be immediately canceled.

Answers

Answer: False

Explanation:

A stock redemption refers to a scenario where a company calls back its shares from shareholders. Not all shares allow for this to happen as there would have to be a provision in the stock that allows it to happen.

When a company performs a redemption, they do not have to cancel the shares immediately. They can either choose to retire them or they can keep them in reserve as treasury stock.

How much would $10,000 due in 20 years be worth today if the discount rate were 6.5%?

Answers

Answer:

PV= $2,837.97

Explanation:

Giving the following information:

Future value= $10,000

Number of periods= 20 years

Interest rate= 6.5% compounded annually

To calculate the present value, we need to use the following formula:

PV= FV/(1+i)^n

PV= 10,000/(1.065^20)

PV= $2,837.97

Which publicly funded program distributes, free of charge, surplus agricultural products to low-income households

Answers

Answer:

commodity foods program

Explanation:

the commodity food program is a way of improving on the diets of low income earners by providing them with nutritious USDA food.

The low income earners in this category includes pregnant women, children, the elderly and infants. This program health to improve their diets as well as their overall health

"You want to invest your savings of $20,000 in government securities for the next 2 years. Currently, you can invest either in a security that pays interest of 8% per year for the next 2 years or in a security that matures in 1 year but pays only 6% interest. If you make the latter choice, you would then reinvest your savings at the end of the first year for another year. Why might you choose to make the investment in the 1-year security that pays an interest rate of only 6%, as opposed to investing in the 2-year security paying 8%

Answers

Answer:

Explanation:

In the former case that is investment in security that pays interest of 8% per year for the next 2 years , there is provision of fixed interest rate . That means one can be assured of interest rate of 8 % for two years but he can not get benefit of market fluctuation if interest rate if it  rises above 8 % after one year .

In case of investment in  security that matures in 1 year but pays only 6% interest , one can take the benefit of market fluctuation if interest rate rises above 8 % . So if there is likelihood that interest rate can rise above 8 % in future , one should invest in 6% security for one year and reinvest it after one year , in the same security or in other security which fetches higher rate of interest .

Apart from that , if there is a contingent liability of paying after one year , one can not go in for 2 year security as it will have to break prematurely , that will result in loss of interest .

So due to situation described above,  one should prefer investment in one year security .

Compute conversion costs given the following data: direct materials, $350,300; direct labor, $205,100; factory overhead, $177,000 and selling expenses, $45,700.
a. $543,800.
b. $384,200.
c. $187,900.
d. $731,700.

Answers

Answer:

$382,100

Explanation:

The computation of the conversion cost is shown below;

Conversion cost is

= direct labor cost + factory overhead cost

where,

Direct labor cost is $205,100

And, the factory overhead cost is $177,000

Now place these values to the above formula

So, the conversion cost is

= $205,100 + $177,000

= $382,100

This is the answer but the same is not provided in the given options

"is the curse of mature markets whereby products lack any real means of differentiation and customers see competing products as offering roughly the same benefits."

Answers

Answer:

Commoditization

Explanation:

This is known as commoditization. Commoditization can be defined as a a process whereby goods and services can no longer be distinguished from similar offerings that is being made by a rival company. In a particular category such goods are so alike that for you to find the difference between them, you do so via the price tags

Vernon theorizes that as the market in the United States and other advanced nations matures, _____ becomes the main competitive weapon.

Answers

Answer:

Explanation:

The product becomes more standardized, and price becomes the main competitive weapon. Meaning that in a mature nation resources and opportunities are plentiful and companies are easily able to enter a market and compete with existing markets by producing the same products. Doing so would saturate the market with similar products, causing competition to depend strictly on pricing.

Adventure Holiday sells thousands of tour packages each month through its various branches. A branch manager's salary would be a(n) _________ of selling a tour package.

Answers

Answer:

Direct cost

Explanation:

Since in the question it is mentioned that the Adventure holiday sells thousand number of tour packages each month with the help of various branches.

So here the salary of a branch manager should be considered as a direct cost as it is related to the tour package sale and hence the same is to be considered

It is directly attributed to the object of cost

In order to be sure a project meeting runs according to plan, the project manager should develop an agenda in advance and deliver it to participants as they arrive at the meeting.
A. True
B. False

Answers

Answer:

B. False

Explanation:

Meetings must be planned in advance, and therefore, the agenda must be delivered to the participants in advance before the meeting in order for all participants to know what the meeting will be about and for them to prepare themselves for it. This way all participants can organize themselves and their schedules better.

Foxhound Corp reported net income of $720,000 for the year ended December 31, 2019. Foxhound had 100,000 common shares outstanding as of January 1st, 2019; 24,000 fully vested (as of 2013) stock options (each option allows for one common share at a $50 exercise price): Foxhound bought back 20,000 common shares on October 1st, 2019. The average market price of the shares throughout the year was $60 per share. Which of the following is the Basic EPS for Foxhound at the end of 2019? (Round to the nearest penny
A. $9.00
B. $7.58
C. $10.00
D. 7.30

Answers

Answer:

B. $7.58

Explanation:

earnings per share = (net income - preferred dividends) / weighted average of shares outstanding

shares outstanding:

January 1: 100,000 x 12/12 = 100,000

October 1: -20,000 x 3/12 = -5,000

weighted average = 95,000

EPS = $720,000 / 95,000 = $7.5789 =$7.58

Stock options are not included in the basic EPS calculation.

What ethical issues are faced by public managers who deal with contractors and with regulations of private-sector activities

Answers

Answer:

Some of these ethical issues are

1. Wages or incentives

2. Discrimination among employees

3. Issues on health and safety of employees

4. And other internal issues that may come up in the company or organization.

Explanation:

While dealing with contractors, a public manager is likely to have the issues above with contractors so he has to learn to tolerate and must also not show any form of discrimination against any employee or show any preferential treatment to any selected worker. He has to employ tact's when dealing with contractors as well as when he is dealing with his employees.

What is the expected return if a firm has a payout ratio of 0.4, a return on equity of 25%, and a dividend yield of 6%

Answers

Answer:

21%

Explanation:

We can calculate the expected return of a firm by add dividend yield and growth rate but in this question, the growth rate is not given therefore we will find growth rate first with the available data

DATA

Payout ratio = 0.4

Return on equity = 25%

Dividend yield = 6%

Solution

Growth rate = Return on equity x retention ratio

Growth rate = Return on equity x (1 - payout ratio)

Growth rate = 25% x (1-0.4)

Growth rate = 25% x 0.6

Growth rate = 15%

Expected return = Dividend yield + growth rate

Expected return = 6% + 15%

Expected return = 21%

When an appraiser assumes that no one is being forced to sell at a reduced price because of an impending divorce or similar situation; and that both buyer and seller are well-informed customers, he is more than likely hired to determine

Answers

Answer:

market value

Explanation:

In situations such as this one, the appraiser is usually hired to determine the market value of the property/asset that the individual is trying to sell. Market value is a term used in economics that describes the actual current value of an asset or a company on the financial market, according to market participants. In other words, this is the current price that other similar assets are selling for and what buyers seem to be willing to pay.

What rules should brokers follow to decrease the possibility of lawsuits?
a) Property inspection rules
b) Office policy rules
c) Licensing rules
d) Agency disclosure rules

Answers

Answer:

Property inspection rules

Explanation:

Property inspection rules ensure that routine inspection is carried out on a property to ensure it is well cared for.

When a buyer of real estate makes a purchase and realises that the property has defects that were not disclosed initially, he can sir the seller and the broker.

To avoid this the broker should ensure that property inspection rules are followed.

The tenant should also be aware of the inspection and have access to the result. This will give him adequate knowledge of the defects of the property prior to purchase.

With this fore knowledge it is less likely the buyer will sue for undisclosed defects.

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