Millennium Liquors is a wholesaler of sparkling wines. Its most popular product is the French Bete Noire, which is shipped directly from

France. Weekly demand is $40$ cases. Millennium purchases each case for $$110,$ there is a $$350$ fixed cost for each order $($independent

of the quantity ordered$),$ and its annual holding cost is $25$ percent. Assume $52$ weeks per year.

a$.$ What order quantity minimizes Millennium's annual ordering and holding costs?

Note: Do not round intermediate calculations. Round your answer to the nearest whole number.

cases

b$.$ If Millennium chooses to order $300$ cases each time, what is the sum of its annual ordering and holding costs?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

Costs

c$.$ If Millennium chooses to order $75$ cases each time, what is the sum of the ordering and holding costs incurred by each case sold?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

Costs

per case

d$.$ If Millennium is restricted to ordering in multiples of $50$ cases $($e$.$g$.,50,100,150,$ etc.$),$ how many cases should it order to minimize its

annual ordering and holding costs?

Note: Do not round intermediate calculations. Round your answer to the nearest whole number.

Costs

cases

e$.$ Millennium is offered a $5$ percent discount if it purchases at least $1,000$ cases. If it decides to take advantage of this discount, what

is the sum of its annual ordering and holding costs?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.