A manufacturer produces bicycles and works $48,2$ shifts per day weeks out of the year. The chains are purchased from an outside supplier.

Four hundred chains per week are required.

The bicycle chains cost $$12$ each.

The total cost associated with an order is $$60,$ while the storage cost is $10\%$ of the price of each chain.

In an attempt to reduce its costs, the chain manufacturer has offered to discount the cost of chains by $1\mathrm{.}5\%$ on orders of $2500$ or more.

Should the discount be taken? Explain why or why not.

A manufacturer of aircraft parts purchases special bolts for the wings of one type of aircraft.

The bolts cost $$2\mathrm{.}50$ each.

A $2\mathrm{.}5\%$ discount per order is offered on orders of $2000$ or more.

The total number of bolts needed each year is $4000.$

The order cost for bolts is $$47.$

The annual inventory cost for bolts is $$15.$

Calculate and decide if the discount should be taken. Explain why or why not.