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 profit. It has been concluded that the relationship between price and demand, per month, is approximately D = 800 - 8p, where p is the price per unit in dollars. The fixed cost is $1,000 per month, and the variable cost is $20 per unit. Obtain the answer mathematically to the following questions: a. What is demand that will maximize revenue per month and the maximum revenue b. What is the optimal number of units that should be produced and sold per month? c. What is the maximum profit per month? d. What are the breakeven sales quantities and the range of profitable demand (volume)?
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
a. What is demand that will maximize revenue per month and the maximum revenue
b. What is the optimal number of units that should be produced and sold per month?
c. What is the maximum profit per month?
d. What are the breakeven sales quantities and the range of profitable demand (volume)?
Step by step
Solved in 6 steps