For a certain company, the cost function for producing x items is C(x)=30x+100 and the revenue function for selling x items is R(x)=-0.5(x-100)^2+5,000. The maximum capacity of the company is 140 items. A.) Assuming that the company sells all that it produces, what is the profit function? Solve.
P(x)=
B.) What is the domain of P(x)
C.) The company can choose to produce either 70 or 80 items. what is their profit for each.
Profit when producing 70 items=
Profit for producing 80 items=
D.) can you explain from the model, why the company makes less profit when producing 10 more units.​