One more please help. For a certain company, the cost function for producing x items is C(x)=40x+150 and the revenue function for selling x items is R(x)=-0.5(x-80)^2+3,200. The maxium capacity of the company is 100 items.
The profit function P(x) is the revenue function R(x) minus the cost function C(x).
1. Assuming the company sells all that it process what is the profit function?
P(x)=
2.What is the domain of P(x)?
3.The company can choose to produce either 40 or 50 items. What is their profit for each for each case, and which level of production should they choose?
Profit for 40
Profit for 50