What is the estimated production level?

Question

A manufacturer estimates that its production can be modeled by f(x, y) = 100x^0.75y^0.25.

 Estimate the production level when x = 1900

 and y = 1000.

 (Round your answer to the nearest whole number.) 

Answer 1

We have 2 variables function. We are asked about production level, and we know the values of the two variables.

What we simply need to do, is to substitute the values of the variable in the equation and evaluate:

f(1900, 1000) = 100 • 1900^0.75 • 1000^0.25

Using a calculator we find the production level:

f(1900, 1000) = 161,832 units.