A company produces and sells a consumer product and thus far has been able to control the volume of the product by varying the selling price. The company is seeking to maximize its net prot. It has been concluded that the relationship between price and demand, per month, is approximatelyD = 500 - 5p, where p is the price per unit in dollars. The xed cost is $1,000 per month, and the variable cost is $20 per unit. Obtain the answer mathematically to the following questions:

1.What is the optimal number of units that should be produced and sold per month?

2.What is the maximum prot per month?

3.What are the breakeven sales quantities (range of protable demand volume)?

Solution: