PA $12-4($Algo$)$ Bruno Fruscalzo decided to start a small...

Bruno Fruscalzo decided to start a smal production faclity in Sydney to sell gelato to the local restaurants. His local milk suppler

charges $$0\mathrm{.}50$ per kilogram of milk plus a $$15$ delwery fee $($the $$15$ fee is independent of the amount orderedi$).$ Bruno's holding cost is

$$0\mathrm{.}01$ per kilogram per month. He needs $9\mathrm{.}000$ kilograms of milk per month.

a$.$ Suppose Bruno orders $8,750$ kilograms each time. What is his average imventory $($in idograms$)?$

b$.$ Suppose Bruno orders $8,000$ idograms each time. How many orders does he place with his suppler each year?

Note: Round your answer to $1$ decimal place.

N$.$mber of ordars

c$.$ How many kilograms should Bruno order from his suppler with each order to minimize the sum of the ordering and holding costs?

Costs

kilograma

d$.$ If Bruno's storage vessel can hold only $3,250$ lolograms of milk, what would be Bruno's annual ordering and hoiding costs if he

orders this amount?

Costs

e$.$ If Bruno's storage wessel can hold only $5,000$ klograms of milk, what would be Bruno's annual ordering and hoiding costs if he

orders this amount?

Costs

t$.$ Bruno's supplier's truck can carry $20,000$ kilograms of milk. The supplier does not want to delwer to more than three customers

with each truck. Thus, the supplier requires a minimum oeder quantity of $6,500$ kilograms. If Bruno orders the minimum amount,

what would be the sum of his annual ordering and holding costs? Assume he has a storage vessel large enough to hoid $6,500$

idograms.

Costs

Bruno's supplier offers a $2$ percent discount when a customer orders a ful truck, which is $20,000$ klograms. Assume Bruno can

store that quantity and the product will not spoil. If Bruno orders a ful truck, what would be the annual inventory holding and

ordering cost incurred per kilogram of milk?

Note: Round your answer to $3$ decimal places.