Weekly demand for motors is normally distributed with a mean of $1,500$ and a Demand for specific a spare part is $(20,870)$boxes per month. The holding cost is $25\%$ per year. Eachorder incurs a fixed cost of $$1,000.$ The supplier wants to offer aquantity discount pricing scheme with a price of $$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 systemfor this case.b$.$Analyzethe marginal unit quantity discount systemfor this case.c$.$Compare two systems and interpret.