Question

The following supply and demand functions describe the competitive market Q2+4P Q40-2P where Q and Q are the quantities supplied and demanded, and P is the market price.

(a) What are the equilibrium price, P, and quantity, Q? (b) Compute the producer and consumer surplus that results from the market equilibrium in (a). Hint: To solve this problem, try drawing a graph of this market. Then recall the definitions from class: CS is the area under the demand curve and above the price, and PS is the area above the marginal cost curve and below the price. Lastly, recall that the area of a triangle is ½ × base × height

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2 +1p A1 40 2. 12 4 2. 1 6 9 2 0.5

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