[Solution] Consider the following short-run function for Superfast Hairdryers, Inc., given as: Q = 10X- .25X 2 ; where X is material inputs and Q is the
Question: Consider the following short-run function for Superfast Hairdryers, Inc., given as:
Q = 10X- .25X 2 ; where X is material inputs and Q is the output.
Suppose the hair dryers are sold for $10 per unit to K-Mart and that the firm can obtain as much of the variable materials (input X) as it needs at $20 per unit.
- Write is the rule for determining the optimal units of input X?
- Determine the marginal revenue product of X, given the above information.
- Determine the marginal factor cost of X.
- Determine the optimal value of X, given the objective function is to maximize profits.
- If the price of hair dryers were to rise, what happens the optimal value of X employed to produce them?
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