The Laurel Creek Lawn Shop sells Fastgro Fertilizer. The Annual demand for the

fertilizer is $280,000$ pounds. The cost to order the fertilizer from the Fastgro Company is

$$100$ per order. The annual carrying cost is $$\mathrm{.}25$ per pound. The store operates with

shortages, and the annual shortage cost is $$\mathrm{.}70$ per pound. Compute the optimal order

size, minimum total inventory cost, and maximum shortage level. $(10$ points$)($Round

answers to the second decimal place$)$