What is the value of capital stock for the company based on the information provided?

A company’s total monthly sales (in millions of dollars) t months from now are given by:

Elina [12.6K]

Answer:

a) $\frac{dS}{dt}=S'(t)= 2(0.5) t +3 = t+3$

b) $S(4) = 0.5*(4^2) +3(4) -5=15 million$

c) For this case we have the total sales $ 15 millions after t =4 months

d) $S'(4) = 4+3 = 7 million$

e) This value represent the increase in the amount of sales in millions after t=4 months

Explanation:

For this case we have the following function for the sales

$S(t) = 0.5 t^2 +3t -5$

Part a

For this case we want to find the derivate of S respect to t and we got:

$\frac{dS}{dt}=S'(t)= 2(0.5) t +3 = t+3$

Part b

For this case we want to find the value of S when t = 4 so if we replace we got:

$S(4) = 0.5*(4^2) +3(4) -5=15 million$

Part c

For this case we have the total sales $ 15 millions after t =4 months

Part d

For this case we just need to replace t=4 in the derivate and we got:

$S'(4) = 4+3 = 7 million$

Part e

This value represent the increase in the amount of sales in millions after t=4 months

3 0

3 years ago

Suppose Potter Ltd. just issued a dividend of $2.50 per share on its common stock. The company paid dividends of $2.00, $2.07, $

Bogdan [553]

Answer:

Explanation:

Using dividend growth model formula for finding dividend per year can be used to find the growth rate per year;

The formula would be D1 = D0(1+g)

and D2 = D1(1+g)

D3 = D2 (1+g) and so on....

Starting with 2.00 dividend, <u>growth rate from yr1-yr2;</u>

2.07 = 2.00*(1+g)

Divide both sides by 2.00;

1+g = 2.07/ 2.00

1+g = 1.035

g = 1.035-1

g ( y1-y2) = 0.035 or 3.5%

<u>Growth rate from yr2-yr3;</u>

2.24 = 2.07(1+g)

Divide both sides by 2.07;

2.24/2.07 = 1+g

1.0821 = 1+g

1.0821-1 = g

g= 0.0821 or 8.21%

Therefore, g(y2-y3) = 8.21%

<u>Growth rate from yr3-yr4;</u>

2.34 = 2.24(1+g)

Divide both sides by 2.24;

2.34/2.24 = 1+g

1.0446 = 1+g

1.0446 -1 =g

g =0.0446 or 4.46%

Therefore, g(y3-y4) = 4.46%

<u>Growth rate from yr4-yr5;</u>

2.50 = 2.34(1+g)

2.50/2.34 = 1+g

1.0684 = 1+g

1.0684-1 = g

g=0.0684 or 6.84%

Therefore, g(y4-y5) = 6.84%

8 0

3 years ago

If government spending occurs, there will be a(n) _______ of private-sector investors, described as a(n) _______ of that spendin

MrRa [10]

If government spending occurs, there will be a(n)crowding out of private-sector investors, described as a(n) opportunity cost of that spending.

<h3>What is government spending?</h3>

This is the term that is used to refer to all forms of expenditures that the government of a place may embark on.

Spending is an expansionary policy that helps to stimulate the government of a place.

Read more on government spending here:

brainly.com/question/25125137

#SPJ1

3 0

1 year ago

If both an asset group and goodwill in one of a company's reporting units have to be tested for impairment, which of the followi

irga5000 [103]

Answer: A. The other asset group should be tested for an impairment loss before goodwill is tested.

Explanation:

According to the IFRS standards, it is important and necessary to revalue your assets according to their net realizable value, i.e, assets should be reported after deducting accumulated depreciation or amortization in the case of goodwill. In the case of inventory, NRV should be calculated by estimating impairments.

The other asset groups are tested to check for impairment loss and later the goodwill is tested.

3 0

3 years ago

Bramble Corp. has two divisions; Sporting Goods and Sports Gear. The sales mix is 65% for Sporting Goods and 35% for Sports Gear

Dima020 [189]

Answer:

The break even in dollars is $23000000

Explanation:

The break even point in dollars is the amount of revenue which produces no profit or no loss and where total revenue equals total cost. The break even in dollars is calculated by dividing the fixed cost by the weighted average contribution margin ratio.

Break even in dollars = Fixed costs / Weighted average contribution margin ratio

Weighted average contribution margin ratio is the contribution margin ratio of each products multiplied by the products weight in the sales mix.

Weighted average contribution margin ratio = Weight in sales mix of Product A * contribution margin ratio of product A + Weight in sales mix of Product B * Contribution margin ratio of Product B

Weighted average contribution margin ratio = 0.65 * 0.3 + 0.35 * 0.5 = 0.37

Break even in dollars = 8510000 / 0.37

Break even in dollars = $23000000

3 0

3 years ago