Meadow Farms produces cherries according to the production function Q = 36K²/³L¹/6. The market price for cherries is $5 per unit, the wage is $6 per unit, and the rental rate of capital is $30 per unit. (a) Write down the profit function for Meadow Farms in terms of capital and labor. (b) Find the profit-maximizing combination of inputs that Meadow Farms will use. (c) Verify that the profit-maximizing combination of inputs that Meadow Farms uses minimizes its costs.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Meadow Farms produces cherries according to the production function Q = 36K²/³L¹/6. The market
price for cherries is $5 per unit, the wage is $6 per unit, and the rental rate of capital is $30 per unit.
(a) Write down the profit function for Meadow Farms in terms of capital and labor.
(b) Find the profit-maximizing combination of inputs that Meadow Farms will use.
(c) Verify that the profit-maximizing combination of inputs that Meadow Farms uses minimizes its
costs.
Transcribed Image Text:Meadow Farms produces cherries according to the production function Q = 36K²/³L¹/6. The market price for cherries is $5 per unit, the wage is $6 per unit, and the rental rate of capital is $30 per unit. (a) Write down the profit function for Meadow Farms in terms of capital and labor. (b) Find the profit-maximizing combination of inputs that Meadow Farms will use. (c) Verify that the profit-maximizing combination of inputs that Meadow Farms uses minimizes its costs.
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