Question

Two markets for two commodities interact with each other in the sense that the demand for...

Two markets for two commodities interact with each other in the sense that the demand for each product depends not only on its own price, but also on the prices of other products. Suppose that the demand functions are as follows:

q d 1 = 18 − 3p1 + p2

q d 2 = 12+p1 − 2p2

Suppliers are assumed willing to produce these two products according to the following supply functions:

q s 1 = -2 + 4p1

q s 2 = -2 +3p2

a) What relationship in consumption do these two products have?

b) Find an expression for their inverse demand functions.( i.e. write as pi = f(qi, qj))

c) Find the market clearing prices and quantities for both goods. Graph your results

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Answer #1

B 18-3P DemandLi a) 12+P2 (2) amd da 20 70 As price ofothux good rises the qAAamtit demamd af theqand rises bota the sulsstit210 8 O692-0.2V1 Supply 4AE 2 - 2 Eauilibrium o 18-3ptP2 1P- 2 20 . न- । 2 0 12P2P- 3P-2 14 (ap20P 5 35 P 100-P 34T 34 4 3

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