# Homework Help: Help with maximizing profit

1. May 7, 2010

### jmoney1014

[I've been on this problem for hours :( Someone please help.

A metal manufacturing company estimates that if x million dollars is spent on research and development (R&D) and y million dollars is spent on marketing, the total revenue from a material will be R=45x^0.04y^0.12 million dollars.

3. May 7, 2010

### jack action

x+y=50

To find x where R(x) is maximum: dR(x) / dx = 0 ===> Isolate x

[or to find y where R(y) is maximum: dR(y) / dy = 0 ===> Isolate y]

If have difficulties seeing the problem, plot the function R(x). You will see that at the value of x where R(x) is maximum, the derivative dR(x) / dx = 0, i.e. the slope is an horizontal line at that point.