Assume that there are two items for which we wish to minimize the total cost: the item discussed in question $1,$ and a second item with unit value of $$50/$unit and annual demand of $2000$ units. Assume that the holding charges are the same for both items $($$$0\mathrm{.}25/$$$/$year$).$ There is a major fixed ordering cost of $$100$ regardless of the items purchased, and a minor fixed ordering cost of $$35$ for the first item and $$50$ for the second $($again$,$ these are quantity independent$).$ a$)$ What is the optimal number of deliveries per year assuming joint ordering? b$)$ What is the optimal order size of item $1?$ c$)$ What is the optimal order size of item $2?$