Question

Suppose a firm’s price function is P = 120 - 0.5Q and its cost equation is C = 420 + 60Q + Q^2. a. Find the firm’s optimal quantity, price, and profit by using the profit and marginal profit equations and by setting MR = MC. b. Suppose instead that the firm can sell any and all its output at the fixed market price P = 120. Find the firm’s optimal output.

          Suppose a firm’s price function is P = 120 - 0.5Q and its cost equation is C = 420 + 60Q + Q^2. 

a. Find the firm’s optimal quantity, price, and profit by using the profit and marginal profit equations and by setting MR = MC.

b. Suppose instead that the firm can sell any and all its output at the fixed market price P = 120. Find the firm’s optimal output.
        
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Principles of Economics
Principles of Economics
Gregory Mankiw 8th Edition
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Suppose a firm’s price function is P = 120 - 0.5Q and its cost equation is C = 420 + 60Q + Q^2. a. Find the firm’s optimal quantity, price, and profit by using the profit and marginal profit equations and by setting MR = MC. b. Suppose instead that the firm can sell any and all its output at the fixed market price P = 120. Find the firm’s optimal output.
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Transcript

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00:01 The farm cost function is given by cq 1 by 4 q power 2 and with the price $10 and the probability of half and $30 otherwise so we can say that the pi q function that is pq minus c to the q's q is the quantity p price so we can easily find this value and the value will be that is the epq minus cq function and this is 20 q minus 1 by 4 q to power square after that we can easily make the function for this…
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