In: Statistics and Probability
4. The I-75 Carpet
Discount Store has an annual demand of 10,000 yards of Super Shag
carpet. The annual carrying cost for a yard of this carpet is
$0.75, and the ordering cost is $150. The carpet manufacturer
normally charges the store $8 per yard for the carpet; however, the
manufacturer has offered a discount price of $6.50 per yard if the
store will order 5,000 yards. How much should the store order, and
what will be the total annual inventory cost for that order
quantity?
5. The office manager for the Gotham Life Insurance Company orders
letterhead stationery from an office products firm in boxes of 500
sheets. The company uses 6,500 boxes per year. Annual carrying
costs are $3 per box, and ordering costs are $28. The following
discount price schedule is provided by the office supply
company:
Order Quantity (in boxes) | Price per Box |
200-999 | $16 |
1000-2999 | $14 |
3000-5999 | $13 |
6000+ | $12 |
a. Determine the
optimal order quantity and the total annual inventory cost.
b. Determine the optimal order quantity and total annual inventory
cost for boxes of stationery if the carrying cost is 20% of the
price of a box of stationery.