For another product, the manufacturing firm in Exercise 35 estimates that production is a function of labor x and capital y as follows (x, y) 12x 3 4 y 1 4 If $25,200 is available for labor and capital, and if the firms costs are $100 and $180 per unit, respectively, how many units of labor and cap...

x y 12x 34 y 14 subject to 100x 180y 25 200 Substitute into ...

For another product, the manufacturing firm in Exercise 35 estimates that production is a function of labor

Question:

For another product, the manufacturing firm in Exercise 35 estimates that production is a function of labor x and capital y as follows: ƒ(x, y) = 12x^3/4y^1/4. If $25,200 is available for labor and capital, and if the firm’s costs are $100 and $180 per unit, respectively, how many units of labor and capital will give maximum production?

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