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Unformatted text preview: MP L = dQ/dL = L K 1 * * 2 1 remember that weve fixed K=1, and substituting in L=4 leaves us with: MP L = * 1 * = //home/vdimitrov/16843/625943b21c521351703364700710e2e7932bd68c.doc 1 b) Suppose the firm can hire labor at a wage of $5 per hour and output can be sold at a price of $25 per unit. Determine the profit-maximizing levels of labor and output. i. ( Hint : Remember that the firm maximizes its profit when VMP = P * MP L = w ) Part 1: From the hint, $25 * MP L = $5 Hence, the firm profit-maximizes when MP L = $5 / $25 = 1/5 Part 2: At what point does MP L = 1/5? (Remember, capital is still fixed at K=1) In other words, at what level of labor L does the marginal product of labor = 1/5? MP L = L K 1 * * 2 1 = 5 1 ; since K=1, this simplifies to: 5 2 1 = L so 2 5 = L or L = 25/4 //home/vdimitrov/16843/625943b21c521351703364700710e2e7932bd68c.doc 2...
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This note was uploaded on 12/03/2011 for the course MANEC 387 taught by Professor Crawford,l during the Fall '08 term at BYU.
- Fall '08