You are responsible for paper supplies in the copying room in a

medium size office. Paper usage averages $8$ boxes per week. Each

box costs $$25.$ The shipping cost per order, regardless of size, is $$50,$

and receiving an order takes about an hour of your time, which costs

the company $$80.$ The company figures financing costs at $15\%$ per

year. Keeping the boxes organized costs about $$1\mathrm{.}10$ per week per

box.

a$)$ If the order size is $60$ units, compute the total annual cost and

total relevant cost.

b$)$ If the current policy is to order two weeks of supplies with each

order, determine the total annual cost and total relevant cost.

c$)$ Compute the economic order quantity.

d$)$ Compute the optimal cycle length.

e$)$ Compute the optimal annual total cost.

f$)$ Compute the economic order quantity with integer order size.

g$)$ Compute the economic order quantity with package size of $10$ boxes