4. Shutdown price. Consider a firm that washes cars and has a cost function C(q) = 2q² +7q+10, where q denotes the number of cars washed. Intuitively, the first two terms capture the firm's vari- able cost, because they depend on the output the firm produces, whereas the last term represents its fixed cost, because it is not a function of output q. (a) Find the firm's marginal cost curve, its average cost curve, its average variable cost curve, and its average fixed cost curve. (b) Assume that the firm operates in a perfectly competitive industry, taking a príce of p= $18 as given. Which output level does the firm choose in this scenario? (c) What if the price of output decreases to p= $11? (d) For which price will the firm choose to shut down its operations?

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I need help solving problem 4 sections a-d.

 

Please note that this is not graded work. I obtained this question from an old text book to help me practice problem sets. Do let me know if you have additional questions.

4. Shutdown price. Consider a firm that washes cars and has a cost function
C(q) = 2q² +7q+10,
where q denotes the number of cars washed. Intuitively, the first two terms capture the firm's vari-
able cost, because they depend on the output the firm produces, whereas the last term represents
its fixed cost, because it is not a function of output q.
(a) Find the firm's marginal cost curve, its average cost curve, its average variable cost curve, and
its average fixed cost curve.
(b) Assume that the firm operates in a perfectly competitive industry, taking a príce of p= $18 as
given. Which output level does the firm choose in this scenario?
(c) What if the price of output decreases to p= $11?
(d) For which price will the firm choose to shut down its operations?
Transcribed Image Text:4. Shutdown price. Consider a firm that washes cars and has a cost function C(q) = 2q² +7q+10, where q denotes the number of cars washed. Intuitively, the first two terms capture the firm's vari- able cost, because they depend on the output the firm produces, whereas the last term represents its fixed cost, because it is not a function of output q. (a) Find the firm's marginal cost curve, its average cost curve, its average variable cost curve, and its average fixed cost curve. (b) Assume that the firm operates in a perfectly competitive industry, taking a príce of p= $18 as given. Which output level does the firm choose in this scenario? (c) What if the price of output decreases to p= $11? (d) For which price will the firm choose to shut down its operations?
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