Suppose demand for a firms semiconductor chips is: q = 325 4P + 0.75P R +
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Question:
Suppose demand for a firm’s semiconductor chips is:
q = 325 – 4P + 0.75PR + 5A + 3.5Y
where P is the price of the firm’s semiconductor, PR is the price of a competing chip, A is advertising expenditures (in $1000), and Y is average income (in $1000). Suppose PR = 120, A = 15, and Y = 60.
1. Derive the inverse demand function of the firm
2. If the firm chooses a price of 130, how many chips does it sell?
3. Derive the following:
- Income elasticity of demand (is the good normal?)
- Advertising elasticity of demand
- Cross-price elasticity of demand
- Price elasticity of demand
4. Assume that a high cross-price elasticity is 0.2 or higher. Should the rival and the firm be in the same relevant market? Explain.
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