Introduction to Management Science 12th Edition by Bernard Taylor

Exercise 6

The Laurel Creek Lawn Shop sells Fastgro Fertilizer. The annual demand for the fertilizer is 270,000 pounds. The cost to order the fertilizer from the Fastgro Company is $105 per order. The annual carrying cost is $0.25 per pound. The store operates with shortages, and the annual shortage cost is $0.70 per pound. Compute the optimal order size, minimum total annual inventory cost, and maximum shortage level.