M$.$ P$.$ VanOyen Manufacturing has gone out on bid for a regulator component. Expected demand is $725$ units per month. The item can be purchased from either Allen Manufacturing or Baker Manufacturing. Their price lists are shown in the table. Ordering cost is $$$$55,$ and annual holding cost per unit is $$$$5.$

Baker Mfg$.$

Price Range Lower Quantity Upper Quantity Unit Price

$11399$ $$16\mathrm{.}10$

$240079915\mathrm{.}60$

$380099999915\mathrm{.}10$

a$)$ What is the economic order quantity if price is not a$$ consideration?

$$

enter your response here units $($round your response to the nearest whole$$ number$).$

Part $3$

$$b$)$ Which$$ supplier, based on all options with regard to$$ discounts, should be$$ used?

$$

Allen Mfg$.$

Baker Mfg$.$

Part $4$

$$c$)$ What is the optimal order quantity and total annual cost of$$ ordering, purchasing, and holding the$$ component?

The optimal order quantity is

$$

enter your response here with a total cost of $$$

$$

enter your response here $($round your responses to the nearest whole$$ number$).$