The Goodstone Tire Company produces a brand of tirecalled the Rainpath. The annual demand at its distributioncenter is 12,400 tires per year. The transport and handlingcosts are $2600 each time a shipment of tires is ordered atthe distribution center. The annual carrying cost is $3.75per tire.a. Determine the optimal order quantity and the minimumtotal annual cost.b. The company is thinking about relocating its distributioncenter, which would reduce transport and handling coststo $1900 per order but increase carrying costs to $4.50per tire per year. Should the company relocate based oninventory costs?

Practical Management Science
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Author:WINSTON, Wayne L.
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The Goodstone Tire Company produces a brand of tire
called the Rainpath. The annual demand at its distribution
center is 12,400 tires per year. The transport and handling
costs are $2600 each time a shipment of tires is ordered at
the distribution center. The annual carrying cost is $3.75
per tire.
a. Determine the optimal order quantity and the minimum
total annual cost.
b. The company is thinking about relocating its distribution
center, which would reduce transport and handling costs
to $1900 per order but increase carrying costs to $4.50
per tire per year. Should the company relocate based on
inventory costs?

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