A manufacturer estimates that production (in hundreds of units) is a function of the amounts x and y of labor and capital used, as follows.

(a) Find the number of units produced when 16 units of labor and 81 units of capital are utilized.
(b) Find and interpret ƒ_x(16, 81) and ƒ_y(16, 81).
(c) What would be the approximate effect on production of increasing labor by 1 unit from 16 units of labor with 81 units of capital?

Transcribed Image Text:

f(x, y) 3 49 -1/4 X + -1/4