In: Operations Management
Quetions #1
A perishable dairy product is ordered daily at a particular supermarket. The product, which costs $1.18 per unit, sells for $1.75 per unit. If units are unsold at the end of the day, the supplier takes them back at a rebate of $1 per unit. Assume that daily demand is approximately normally distributed with µ = 160 and ? = 30.
What is your recommended daily order quantity for the
supermarket? If required, round your answer to two decimal
places.
Q* =
What is the probability that the supermarket will sell all the
units it orders? If required, round your answer to four decimal
places.
P(Stockout) =
In problems such as these, why would the supplier offer a rebate
as high as $$1? For example, why not offer a nominal rebate of,
say, 25¢ per unit? What happens to the supermarket order quantity
as the rebate is reduced?
The higher rebate the quantity that the supermarket should
order.
Question #2
Apply the EOQ model to the following quantity discount situation in which D = 550 units per year, Co = $45, and the annual holding cost rate is 30%.
Discount Category | Order Size | Discount (%) | Unit Cost |
1 | 0 to 99 | 0 | 11 |
2 | 100 or more | 2 | 10.78 |
What order quantity do you recommend? If required, round your answer to two decimal places.