A manufacturing firm has a monthly production of units modeledby?(?, ?) = 50?0.7?0.3 where x is the number of units of labor andy is the number of units of capital.
The company has a budget of $75,000 per month for labor andcapital. If each unit of labor costs $30 and each unit of capitalcosts $25, how much should the company spend on labor and materialsin order to maximize their production?
