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1. The demand curve for a product is given by: Qx^d = 1,000 - 2Px + 0.2Pz where

ID: 1093434 • Letter: 1

Question

1. The demand curve for a product is given by:

Qx^d = 1,000 - 2Px + 0.2Pz where Pz = $400

a. What is the price elasticity of demand for Q^d when Px = $354? Is the demand elastic or inelastic at this price? What would happen to the firm's revenue if it decided to charge a price above $354?

b. What is the cross price elasticity of demand between good X and Good Z when Px = $154? Are goods X and Z substitutes or complements?

2. Suppose the own price elasticity of demand for good X is -2, its income elasticity is 3, its advertising elasticity is 4, and the cross price elasticity of demand between it and good Y is -6. Determine how much the consumption of this good will change if:

a. The price of good Y increases 10%.

b. Advertising falls by 2%.

c. Income falls by 3%.

Explanation / Answer

a. What is the own price elasticity of demand when Px= $354? Is demand elastic or inelastic at this price? What would happen to the firm