嘉明 asked in 教育與參考考試 · 1 decade ago

經濟學題目

Babydrink is a profit-mazimizing monopolist that produces infant formula. The demand curve facing the firm is given by P=a-bQ,where both a and b are positive parameters.This firm's total cost function is linear in quantity with constant marginal cost c per unit of output and fixed costs of F.

question

Determine this firm's profit function.

1 Answer

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  • 1 decade ago
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    MR ︰P = a - 2bQ

    MR = MC,a - 2bQ = c → Q = ( a - c ) / 2b

    利潤π= TR - TC = P × Q - F - cQ = ( a - bQ )Q - F - cQ

    = aQ - bQ^2 - F - cQ = ( a - c )Q - bQ^2 - F

    =( a - c ) × ( a - c ) / 2b - b × ( a - c ) / 2b - F

    = [( a - c )^2 - b( a - c )] / 2b - F

    Source(s): ME
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