Consider a hardware supply warehouse that is contractually obligated to deliver $2,000$ units of a specialized fastener to a localmanufacturing company each week. Each time the warehouse places an order for these items from its supplier, an orderingand transportation fee of $$30$ is charged to the warehouse. The warehouse pays $$1\mathrm{.}00$ for each fastener and charges the localfirm $$4\mathrm{.}00$ for each fastener. Annual holding cost is $25$ percent of inventory value, or $$0\mathrm{.}25$ per vear. Assume themanufacturing plant operates for $50$ weeks a year

if the supplier only allows orders in thousands of units, then how much the warehouse manager need to order?

Compared with the optimal average cost in $(1),$ what is the percentage of increase in this case?