Question $35(2$ points$)$ Demand for a chemical at a manufacturing plant can be approximated by a Normal distribution with a mean of $20$ liters per week. The standard deviation of demand per week is $3\mathrm{.}4$ liters. The plant produces the chemical in$-$house. The plant manager desires a lead time service level of $90$ percent. He has estimated the holding cost per liter to be $$0\mathrm{.}11$ per year and the cost of setting up production to be $$4.$ The production rate of the plant is $155$ liters per day. The plant operates seven days a week and $52$ weeks per year. a$)$ Find the optimum production quantity using the Economic Production Quantity $($EPQ$)$ model. $(<\_0\mathrm{.}9=1\mathrm{.}28)$ Your Answer: Answer