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

80%

step-by-step explanation:

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!