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Semmy [17]
1 year ago
7

8. Suppose the total cost function is as follows: TC= x^3/3 -x^2+11x

Business
1 answer:
elena55 [62]1 year ago
7 0

At 1.5 the average total cost is a minimum and the total cost will be 10.25 where the TC = total cost; x = output (in 1,000 units)

<h3>What are maxima and minima?</h3>

Maxima and minima of a function are the extremes within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.

We have a total cost function:

TC = x³/3 - x² + 11x

Average total cost:

\rm F\left(x\right)=\dfrac{\left(\dfrac{x}{3}^3-\:x^2\:+\:11x\right)}{x}

Differentiating with respect to x and equating to x

d(F(x))/dx = 0

We will get:

x = 1.5

F'(1.5) >  0

At 1.5 the average total cost is a minimum.

Thus, at 1.5 the average total cost is a minimum and the total cost will be 10.25 where the TC = total cost; x = output (in 1,000 units)

Learn more about the maxima and minima here:

brainly.com/question/6422517

#SPJ1

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LenaWriter [7]

<em><u>The equation shows the relationship between her  weekly salary (w), hours per week (h), and rate per hour (r) is:</u></em>

w = h \times r

<em><u>Solution:</u></em>

Given that,

Alice earned $12 per hour

1 hour = $ 12

<em><u>Find the number of hours in 1 week</u></em>

1 day = 24 hours

1 week = 7 days

Therefore,

1 week = 7 x 24 = 168 hours

Let "h" be the hours per week

let "r" be the rate per hour

Let "w" be the rate per hour

From given,

r = $ 12

h = 168 hours

weekly salary = hours per week x rate per hour

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w = 168 \times 12\\\\w = 2016

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5 0
3 years ago
Read 2 more answers
1.Here are data on two companies. The T-bill rate is 4% and the market risk premium is 6%.
kenny6666 [7]

Answer:

Explanation:

1.

According to the CAPM model

Fair return = Risk-free rate of return + (Beta × Market Premium)

For $1 discount store:

Expected return = 4% +(1.5 × 6%)

Expected return = 0.04 + (1.5 × 0.06)

Expected return = 0.04 + 0.09

Expected return = 0.13

Expected return = 13%

For everything $5

Expected Return = 4% + (1 × 6%)

Expected return =  0.04 + (1 × 0.06)

Expected return = 0.04 + 0.06

Expected return = 0.10

Expected return = 10%

2.

From the above calculation;

For $1 discount store:

Since the expected return is greater than the forecasted return at 12%.

Thus, it is overpriced.

For everything $5

Here, it is obvious from the above calculation that the expected return is lesser than the forecasted return at 11%.

Therefore, it is underpriced.

3) Beta can be defined as the security change that takes place due to market functuations. Thus, Beta manages the systematic risk associated with firms. From the information given, Kaskin Inc. has a more systematic risk(beta) than Quinn Inc. Thus, option A is the most accurate.

4)

To first find the growth rate by using CAPM model.

Required return = Risk free return + \beta (market return - risk free return)

Required return = 0.08 + 1(0.18 - 0.08)

Required return = 18%

Using the formula:

Required return = (next year dividend/current price) + growth rate

18% = (9/100) + g

0.18 = 0.09 g

g = 0.09

Growth rate g = 9%

To determine the price at year 1; we have:

= year \ 1 \  dividend \times \dfrac{1+g}{ke-g}

= 9 \times \dfrac{1+0.09}{0.18 - 0.09}

= $109.00

Therefore, the investor can earn a profit of $9 after selling the stock for $109 at the end of the year 1.

5.

According to beta

For portfolio A.

Risk premium per unit = (21 - 8)%/1.3

Risk premium per unit = (0.21 - 0.08)/1.3

Risk premium per unit = 0.1

Risk premium per unit = 10%

For portfolio B.

Risk premium per unit = (17 - 8)%/0.7

Risk premium per unit = (0.17 - 0.08)/0.7

Risk premium per unit = 0.1286

Risk premium per unit = 12.86%

From above, it is clear that the risk associated with portfolio B is lesser compared to portfolio A.

Thus; the correct option is b. A; B

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attashe74 [19]

Answer:

A.

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The Journal entry is shown below:-

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Interest payable Dr,     $7,000  

       To Cash                        $207,000  

(Being pay off the note and interest at maturity is recorded)

Therefore for recording the pay off the note and interest at maturity we simply debited the notes payable and interest payable as it decreases the liability and we credited the cash as it also decreasing the assets.

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Nastasia [14]
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Galina-37 [17]

Answer:

d. This is clearly a case of perceptual filters. There are many people in the theater watching a movie. Suppose a James Bond movie, shows James Bond using a Sony mobile hand set.

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7 0
3 years ago
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