A manufacturer estimates that production (in hundreds of units) is a function of the amounts x and y of labor and capital used, as f(x,y)=[2/3x^1/3+1/3y^1/3]^3. Find the number of units produced when 125 units of labor and 8 units of capital are utilized. Find and intepret fx(8,125) and fy(8,125). What would be the approximate effect on production of increasing labor by 1 unit?

When 8 units of labor and 125 units of capital are utilized ___units are produced.

(Round to four decimal places as needed.)

fx(8,125)=

(Round to four decimal places as needed.)

fy(8,125)=

(Round to four decimal places as needed.)

The approximate effect on production of increasing labor by 1 unit would be ___units.