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Georgia [21]
3 years ago
10

Suppose all individuals are identical, and their monthly demand for Internet access from a certain leading provider can be repre

sented as p = 5 - (1/2)q where p is price in $ per hour and q is hours per month. The firm faces a constant marginal cost of $1. Potential consumer surplus equals
a. $16.
b. $4.
c. $8.
d. $32

Business
1 answer:
Brilliant_brown [7]3 years ago
6 0

Answer:

a. $16.

Explanation:

the firm offer a price where marginal revenue = marginal cost

We have to solve at which quantity the price is $1.

There, the marginal revenue would match the marginal cost.

1 = 5 - 0.5q

q= (5 -1) /0.5 = 4/0.5 = 8

Now, we solve or the price at which quantity is zero:

p = 5 - 0.5(q) = 5 - 0 = 5

With that we can now solve for the consumer good as the area of the triangle above the marginal cost and below the demand function

(see attached graph)

8 x (5-1) / 2 = 16

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A producer of felt-tip pens has received a forecast of demand of 31,000 pens for the coming month from its marketing department.
atroni [7]

Answer:

  • a. <em>Break-even quantity:</em> <u>28,000 pens</u>

  • b<em>. Price</em>: <u>$1.51 per pen</u>

Explanation:

1. Break-even quantity

<u>a) Revenue, R(x)</u>

The  monthly revenue is the product of the price by the number of units sold in the month.

Naming x the number of pens sold in the month:

  • R(x) = $1 × x = x

<u>b) Cost, C(x)</u>

<u />

The monthly cost is the sum of the fixed cost per month plus the variable costs:

  • C(x) = $21,000 + 0.25 × x = 21,000 + 0.25x

<u>c) Break-even</u>

Break-even is the point when the revenue and the total costs are equal, this is, when the profit is zero. Write the equation and solve:

  • x = 21,000 + 0.25x
  • x - 0.25x = 21,000
  • 0.75x = 21,000
  • x = 21,000 / 0.75
  • x = 28,000

Hence, the break-even quantity is 28,000 pens.

2. Price pens must be sold to obtain a monthly profit of $18,000

Profit = Revenue - Total cost

  • P(x) = R(x) - C(x)

  • P(x) = x.p - [ 0.25x + 21,000]

Where p is the price.

  • P(x) = x.p - 0.25x - 21,000

Substitute the quantity demanded, x, with 31,000, and the profit, P(x) with 18,000:

  • 18,000 = 31,000p - 0.25(31,000) - 21,000

Solve for p and compute:

  • 31,000p = 18,000 + 7,750 + 21,000

  • 31,000 p = 46,750

  • p = 1.51

That is $1.51 per pen.

4 0
3 years ago
Great Lakes Packing has two bond issues outstanding. The first issue has a coupon rate of 3.50 percent, a par value of $1,000 pe
katrin [286]

Answer:

2.9652%

Explanation:

to determine the cost of debt we must use the FMV of the bonds plus the YTM:

first bond:

FMV = 1.09 x $1,000 = $1,090 x 3,600 bonds = $3,924,000

YTM = {C + [(F - P)/n]} / [(F + P)/2] = {17.5 + [(1000 - 1090)/16]} / [(1000 + 1090)/2] = (17.5 - 5.625) / 1045 = 1.136% x 2 = 2.27% annual

second bond:

FMV = 0.95 x $2,000 = $1,900 x 3,950 bonds = $7,505,000

YTM = {C + [(F - P)/n]} / [(F + P)/2] = {59.4 + [(2000 - 1900)/42]} / [(2000 + 1900)/2] = (59.4 + 2.38) / 1950 = 3.168% x 2 = 6.34% annual

total debt = $3,924,000 + $7,505,000 = $11,429,000

weighted average after tax cost of debt:

{($3,924,000/$11,429,000 x 2.27%) + ($7,505,000/$11,429,000 x 6.34%)} x (1 - 0.40) = (0.779% + 4.163%) x 0.6 = 4.942% x 0.6 = 2.9652%

6 0
3 years ago
You are waiting at a bus stop and the woman next to you is crying. You wonder why is so and make deduction that she cries becaus
Vinil7 [7]

Answer:

deduction theory cause your assumption was based on your instincts and it may not actually be the reason why the woman was crying

6 0
2 years ago
Suppose the economy is initially operating well below capacity. In this​ case, an expansionary macroeconomic policy will result
Damm [24]

Answer:

The correct answer is option B.

Explanation:

If an economy is working well below capacity this means there is huge amount of unused resources left. Resources or inputs at this point will be available at a relatively lower price. So the firms will be able to expand output at a cheaper rate.  

When the demand for inputs increase the input price will not increase much. So, the firms will be able to increase output and the price level will not increase by a great extent.

5 0
3 years ago
Usually, price elasticities of supply areA) positive, because higher prices yield larger quantities supplied.B) considered short
Anna35 [415]

Answer:

A) Positive, because higher prices yield larger quantities supplied.

Explanation:

The correct answer to the question is A) Positive, because higher prices yield larger quantities supplied. The price elasticity of supply determines the change in price as a response to the change in supply of the good or service supplied. This is usually calculated in a figure that determines that if price increases what will be the impact on its supply, which usually is a positive figure.

3 0
3 years ago
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