The inverse demand for a homogeneous-product Stackelberg duopoly is P = 16,000 - 4Q. The cost structures for the leader and the

follower, respectively, are CL(QL) = 4,000QL and CF (QF) = 6,000QF..
a. What is the followers reaction function?

QF =

b. Determine the equilibrium output level for both the leader and the follower.

Leader output:

Follower output:

c. Determine the equilibrium market price.

$

d. Determine the profits of the leader and the follower.

Leader profits: $

Follower profits: $

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You purchased 1000 shares of stock in Cumberland Software for $3 per share on January 1, 2006. Over the next four years, you rec

marusya05 [3725]

Answer:

a) Total gross return = 459.3%

b) Average annual return = $4,195

Explanation:

First, let's summarize the given data:

Number of shares = 1000, purchase price = $3 per share,

annual dividend = 7 cents = $0.07 for each share per year,

duration = 4 years, selling price = $16.50 per share,

brokerage fee = 4%

Calculation of total costs for shares = number of shares * purchase price

Cost = 1000 * 3 = 3,000

Cost = $3,000

On January 1, 2006, I acquired shares valued at $3,000

Calculation of total dividends received = dividend * number of shares * time

Total dividends = 0.07 * 1000 * 4 = $280

In four years, I received $280 from dividends

Total revenue from sale = number of shares * selling price

Total sale price = 1000 * 16.50 = $16,500

Brokerage fee = 4% of total sale

Brokerage fee = 0.04 * 16500 = $660

a) Total gross return calculation = (dividend + revenue from sale - purchase cost) ÷ purchase cost

Total gross return = (280 + 16500 - 3000) ÷ 3000

Total gross return = 13780 ÷ 3000 = 4.593

Total gross return = 4.593 * 100%

Total gross return = 459.3%

This indicates a gain exceeding 400% (four times the investment in acquiring the shares)

Note: Total gross return does not factor in any fees or expenses such as brokerage charges

b) Average annual return = Total returns during the specified timeframe ÷ duration

Total returns during the specified timeframe = dividend + total sale revenue = 280 + 16500 = $16,780

Average annual return = 16780 ÷ 4 = 4195

Average annual return = $4,195

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Frolic Corporation has budgeted sales and production over the next quarter as follows: July August September Sales in units 70,0

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