Reference no: EM132307809
Lead time from order placement to receipt is four weeks. Weekly demand for the product is normally distributed with a mean of 20 and a standard deviation of 5. The product costs $4 to purchase, and sells for $7. Each time an order is placed there is a fixed cost of $100. The cost of capital is 25% per year. You may ignore any physical holding costs.
an order for 600 units is placed each time inventory drops below 100 units in stock.
a) What service level is this policy designed to achieve?
b) How much annual savings would be achieved if we placed orders for the Economic Order Quantity each time we ordered?
Assume we make this change for all of the following questions.
c) Suppose we want to achieve a service level of 90%. What re-order point should we use?
d) Ignoring any effect on revenues due to potential lost sales, what is the annual savings from using the policy in part c?
e) With air shipping, there is a new lead time of only 1 week, but there will be an additional cost of $0.25 per unit for the shipping. (For simplicity, ignore any effect this might have on the economic order quantity.) Assuming we will use a policy that achieves the same service level as in the base case, calculate the total annual net savings or additional costs from using air shipment.
f) Determine an appropriate counter offer to the supplier for the air shipping. How much additional cost for air shipment would you be willing to pay? (That is, what is the breakeven price premium for air shipment?)