Return to the bicycle manufacturer NatBike in Exercise 6. Now assume that a customized bicycle costs $300 to manufacture, whereas a standardized bicycle costs $200 to manufacture, with all other data as in Exercise 6. What price should NatBike charge each segment if there is no capacity constraint? What price should NatBike charge each segment if the total available capacity is 20,000 bicycles? What is the total profit in each case?

Data From Exercise 6

NatBike, a bicycle manufacturer, has identified two customer segments; one segment prefers a customized bicycle and is willing to pay a higher price whereas the other is willing to take a standardized bicycle but is more price sensitive. Assume that the cost of manufacturing either bicycle is $200. Demand from the customized segment has a demand curve of d = 20,000 − 10 p and demand from the price-sensitive standard segment is d = 40,000 − 30 p . What price should NatBike charge each segment if there is no capacity constraint? What price should NatBike charge each segment if the total available capacity is 20,000 bicycles? What is the total profit in each case?