Question
1. Suppose a hotel is profit-maximising. It has one factor of production, which is the amount of labour (L) it hires. For each hour of
1. Suppose a hotel is profit-maximising. It has one factor of production, which is the amount of labour (L) it hires. For each hour of labour, the firm pays a wage W. The production function is given by f(L) = L1/2.
a. Suppose that in equilibrium, the wage rate is fixed at W = 7. Solve for the firm's optimal choice of how much labour to hire.
b. Imagine the government votes to increase the minimum wage to W = 10. What happens to employment in the firm?
c. Suppose the firm instead chooses to minimise the cost of producing a specific amount of q. Explain how this helps the firm maximise profits.
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