Question: 3. (20 points) Consider the same setting as Problem 2 (with no backorder) and suppose that the steel supplier offers the auto manufacturer a price

3. (20 points) Consider the same setting as
3. (20 points) Consider the same setting as Problem 2 (with no backorder) and suppose that the steel supplier offers the auto manufacturer a price of $1490 per ton of steel if QQ 2400. The annual holding cost rate, i, is 0.25 (as a percentage of the purchase cost). Calculate @* and C (Q) for the all-units discount structure. 4. (20 points) The Pratt & Whitin Company, which manufactures aircraft engines, needs to decide how many units of a particular bolt to order in order to build engines over the next 4 months. Orders for engines are placed over a year in advance, so the company knows its near-term demand exactly; in particular, the number of engines to produce in the next 4 months will be 150, 100, 80, and 200 in months 1 through 4, respectively. Each engine requires a single bolt. Orders for bolts incur a fixed cost of $120, and bolts held in inventory incur a holding cost of $0.80 per bolt per month. Find the optimal order quantities in each month and the optimal total cost. [Hint|: Apply Wagner-Whitin Algorithm

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