Assume that the unit price can be decreased by $20$ cents if $200\mathrm{.}000$ to $299,999$ units are ordered within a single order. and it can be reduced by $35$ cents if at least $300\mathrm{.}000$ units are ordered This price reduction apolies to all the units beine burchased in a single orderl $($e$)$ What is the optimal order quantity! Please show all the details of vour calculation $3.(20$ points$)$ Consider the production capacity for the new Nissan plant in Smyzna, Tennessee Assume that we can increase the capacity and suppose that Nissan currently has enough regular production capacity to produce $200$ electric Nissan Leafs per week. Further, assur that with overtime, an additional $30$ cars per week can be produced. 'The cost of assembly and inspecting a car during regular time is $$2,000.$ Overtime production of a car costs $$3,000.$ I also costs S$600$ ver week to hold a car in inventory for future deliverv. For the next six weeks Nissan's order schedule, i$.$e$.,$ demand, is $180,205,185,255,195,$ and $210$ cars. Their goal is