Calculate unconstrained profit maximizing level of price

Reference no: EM1370335

Specific Motors Company is one of the Big Three auto manufacturers in Transylvania. Specific's share of the domestic auto market is 55%. The next two closest competitors control 25 and 15 percent of the market, respectively, and the rest may be accounted for by two small, specialized firms. Specific has been under pressure from Transylvania's Justice Department and the State Trade Commission for monopolistic practices. To discourage any attempts to break up Specific, management has decided to maintain its market share below 55 percent of the total domestic automobile sales revenues.

Specific estimates that to stay within its constraint sales of 55 percent of the market, its total shares should not exceed $2.8 billion.

The firm faces the following demand and cost functions:
P=16,000 - .02Q
TC=850,000,000 + 4,000 Q

a. Calculate the unconstrained profit-maximizing level of price and output for Specific.
b. At this level, what will total sales revenue be? Total Profits?
c. If the firm constrains its sales revenue to $2.8 billion, calculate price, output, and profit levels under the constraint.
d. What is the cost to the firm of this market-share constraint?

Reference no: EM1370335

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