For a certain company, the cost function for producing x items is C(x)=30x+200 and the revenue function for selling x items is R(x)=−0.5(x−110)2+6,050. The maximum capacity of the company is 150 items. What is the domain of P(x)?
Hint: Does calculating P(x) make sense when x=−10 or x=1,000?

The company can choose to produce either 80 or 90 items. What is their profit for each case, and which level of production should they choose?
Profit when producing 80 items =
Number

Profit when producing 90 items =
Number

Can you explain, from our model, why the company makes less profit when producing 10 more units?