Eight Flags operates several amusement parks in the Midwest. The company stocks machine oil to service the machinery for the many rides at the parks. Eight Flags needs $40,000$ gallons$($D$)$ of oil$$ annually; the parks operate $50$ weeks a year. Management is unsatisfied with the current supplier of oil and has obtained two bids from other suppliers. The data are contained in the following table.

Annual Freight Costs

Shipping Quantity $($Q$)$

Supplier $5,00010,00015,000$ Price$/$Unit $($p$)$ Annual Holding Cost$/$Unit $($H$)$ Lead Time $($L$)($wks$)$ Annual Administrative Cost

Sharps $$5,200$ $$3,700$ $$3,300$ $$3\mathrm{.}70$ $$0\mathrm{.}746$ $$4,500$

Winkler $$5,600$ $$4,000$ $$3,700$ $$4\mathrm{.}00$ $$0\mathrm{.}805$ $$4,000$

Which supplier and which shipping quantity will provide the lowest costs for Eight$$ Flags?

Part $2$

Using

$$

Sharps

Winkler

and a shipping quantity of

$$

$5,000$

$15,000$

$10,000$

is the lowest cost$$ alternative, with annual total costs to Eight Flags of $$$

$$

enter your response here. $($Enter your response as an$$ integer.$)$