$.$ Consider the bolt example from Problem $4$ yet again, assuming that the demand of $60$ per

week is correct. Now, however, suppose the minimum reorder interval is one month and all

order cycles are placed on a power$-$of$-2$ multiple of months $($that is$,$ one month, two months,

four months, eight months, etc. in order to permit truck sharing with orders of other parts.

a$.$ What is the least$-$cost reorder interval under this restriction?

b$.$ How much does this add to the total cost?

c$.$ How is the effectiveness of powers$-$of$-2$ order intervals related to the result of the

previous problem regarding the effect of demand forecasting errors?