QX$]$: $6-28$ Ross White $($see Problem $6-27)$ wants to reconsider his decision of buying the brackets and is considering making the brackets in$-$house. He has determined that setup cost would be $$25$ in machinist time and lost production time and that $50$ brackets could be produced in a day once the machine has been set up$.$ Ross estimates that the cost $($including labor time and materials$)$ of producing one bracket would be $$14\mathrm{.}80.$ The holding cost would be $10\%$ of this cost.

a$.$ What is the daily demand rate?

b$.$ What is the optimal production quantity?

c$.$ How long will it take to produce the optimal quantity? How much inventory is sold during this time?

d$.$ If Ross uses the optimal production quantity, what would be the maximum inventory level?

e$.$ How many production runs would there be each year? What would be the annual setup cost?

f$.$ Given the optimal production run size, what is the total annual inventory cost?

g$.$ If the lead time is one$-$half day, what is the ROP?