Demand for specific a spare part is $(20090)$ boxes per month. The holding cost is $25\%$ per year. Each order incurs a

fixed cost of $$1,000.$ The supplier wants to offer a quantity discount pricing scheme with a price of $$5$ per box for the

first $30,000,$ a price of $$4\mathrm{.}90$ per unit for the quantity between $30,000$ and $50,000,$ and $$4\mathrm{.}70$ per unit for the quantity

above $50,000$ units. a$.$ Analyze all unit quantity discount systems for this case. b$.$ Analyze the marginal unit quantity

discount system for this case. c$.$ Compare two systems and interpret.$|$