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A multi-product monopolist produces two products that are substitutes

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A multi-product monopolist produces two products that are substitutes. The demand for a product depends on both the price of the goods and the price of the other product. Demand functions are:

q1=100−2p1+p2q2=100−2p2+p1q1=100−2p1+p2q2=100−2p2+p1

The marginal cost of producing each good is constant with c1=c2=20c1=c2=20.

a) What is the own-price elasticity of demand for good 1?

b) What is the cross-price elasticity of demand?

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