A sports company has the following production function for a certain product, where p is the number of units produced with x units of labor and y units of capital. p(x, y)=2500x1/5y1/5
Find:
1. Number of units produced with 26 units of labor and 1333 units of capital.
2. Marginal productivities.
3. Evaluate the marginal productivities at x=25, and y=1333

(a) 20226 units

(b) Marginal productivities

(c) Evaluation of the marginal productivities

Step-by-step explanation:

Given

Solving (a): P(x,y) when x = 26 and y = 1333

becomes

--- approximated

Solving (b): The marginal productivities

To do this, we simply calculate Px and Py

Differentiate x to give Px, so we have:

becomes

Differentiate y to give Py, so we have:

becomes

Solving (c): Px and Py when x = 25 and y = 1333

becomes

--- approximated

becomes

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step-by-step explanation:

12

step-by-step explanation: