A manager receives a forecast for next year. Demand is projected to be 600 units for the first halfof the year and 900 units for the second half. The monthly holding cost is $2 per unit, and it costsan estimated $55 to process an order.a. Assuming that monthly demand will be level during each of the six-month periods covered bythe forecast (e.g., 100 per month for each of the first six months), determine an order size thatwill minimize the sum of ordering and carrying costs for each of the six-month periods.b. Why is it important to be able to assume that demand will be level during each six-month period?c. If the vendor is willing to offer a discount of $10 per order for ordering in multiples of 50units (e.g., 50, 100, 150), would you advise the manager to take advantage of the offer in eitherperiod? If so, what order size would you recommend?

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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A manager receives a forecast for next year. Demand is projected to be 600 units for the first half
of the year and 900 units for the second half. The monthly holding cost is $2 per unit, and it costs
an estimated $55 to process an order.
a. Assuming that monthly demand will be level during each of the six-month periods covered by
the forecast (e.g., 100 per month for each of the first six months), determine an order size that
will minimize the sum of ordering and carrying costs for each of the six-month periods.
b. Why is it important to be able to assume that demand will be level during each six-month period?
c. If the vendor is willing to offer a discount of $10 per order for ordering in multiples of 50
units (e.g., 50, 100, 150), would you advise the manager to take advantage of the offer in either
period? If so, what order size would you recommend?

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