A store will order q gallons of a liquid product to meet demand during a partic- ular time period. This product can be dispensed to customers in any amount desired, so demand during the period is a continuous random variable X with cdf 1513:). There is a xed cost cu for ordering the product plus a cost of c1 per gallon purchased. The per gallon sale price of the product is d. Liquid left un- sold at the end of the time period has a salvage value of e per gallon. Finally, if demand exceeds q, there will be a shortage cost for loss of goodwill and future business; this cost is f per gallon of unfullled demand. How can we estimate q that maximizes the expected prot