Suppose the estimated demand equation of good X looks as follows: QX = 10,000 - 2 PX

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Question:

Suppose the estimated demand equation of good X looks as follows:

QX = 10,000 - 2 PX + 3 PY - 4.5M

Where Px is the price of the product itself

PY is the price of another (related) good

M is buyers' income.

Suppose currently PX = $100, PY = $50, and M = $2,000.

a. What is the price elasticity of demand of good X?

b. What is the cross-price elasticity of good X with respect to the price of good Y?

c. what is the income elasticity of good X?

d. Estimate the demand function (representing the demand curve) of this product.

e. Suppose the local government decides to raise the sales tax on product X, causing the price to rise by 10%. Will sales of the product X rise or fall, and by what percentage amount?

f. If the seller of the product (X) wants to increase her sales quantity by 10% through a price-change, what should she do to price - increase? decrease? By what percentage amount?