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Consider a competitive firm with an average cost function given by AC(Q)=2Q2-20Q+70. (1) Find the marginal cost...

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Economics

Consider a competitive firm with an average cost function givenby AC(Q)=2Q2-20Q+70.

(1) Find the marginal cost function. .

(2) Draw the firms average cost and marginal cost curves. (Makesure to label the axes, intercepts, slopes, ...etc.)

(3) Is this firm in the short-run or in the long run? Why?
(4) Show the firms supply curve on the graphs you drew in (b). Makesure to label the axes.

(5) What is the competitive price?

(6) (3 points) How much profit would the firm make if the marketprice of the good is 40? On the graphs you drew in b, shade thearea that corresponds to this profit level.

For the remaining questions, assume that the market demand isgiven by D(P)=800-2P.

(7) Draw the market demand. (Make sure to label the axes,intercepts, slopes, ...etc.)

  1. Draw the supply function.

  2. What is the market equilibrium (price and quantity)?

(10) How many firms operate in the market?
Suppose that the government levies a sales tax of $5 on producersfor each unit sold.

(11)  What will be the long-run equilibrium marketprice after the tax?

(12) What will be the long-run equilibrium market output afterthe tax?

(13) How many firms will exit the market after the tax?

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