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Problem 4-21 (Algorithmic) Greenville Cabinets received a contract to produce sp

ID: 461898 • Letter: P

Question

Problem 4-21 (Algorithmic) Greenville Cabinets received a contract to produce speaker cabinets for a major speaker manufacturer. The contract calls for the production of 4,300 bookshelf speakers and 5,100 floor speakers over the next two months, with the following delivery schedule: Month 1 2,600 2,000 Month 2 Model Bookshelf Floor 1,700 3,100 Greenville estimates that the production time for each bookshelf model is 0.8 hour and the production time for each floor model is 1 hour. The raw material costs are $15 for each bookshelf model and $17 for each floor model. Labor costs are $27 per hour using regular production time and $38 using overtime. Greenville has up to 2,900 hours of regular production time available each month and up to 1,500 additional hours of overtime available each month. If production for either cabinet exceeds demand in month 1, the cabinets can be stored at a cost of $10 per cabinet. For each product, determine the number of units that should be manufactured each month on regular time and on overtime to minimize total production and storage costs. If required, round your answers to the nearest whole number. Regular Time Manufacture Month 2 Model Bookshelf Floor Month 1 Overtime Manufacture Model Bookshelf Floor Month 1 Month 2

Explanation / Answer

Demand Units Model Month 1 Month 2 Book Shelf 2600 1700 Floor 2000 3100 Hrs required Hrs Model Month 1 Month 2 Book Shelf @ 0.8 hrs 2080 1700 Floor @ 1 hrs 1600 3100 Total Hrs Required 3680 4800 Total Hrs available 4400 4400 Regualr time to be used 2900 2900 OT to be used 780 1500 Total Hrs 4400 4400

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