Greenville Cabinets received a contract to produce speaker cabinets for a major speaker manufacturer. The contract calls for the
production of "4,700" bookshelf speakers and "5,500" floor speakers over the next two months, with the following delivery schedule:
Model Month 1 Month 2
Bookshelf 2,800 1,900
Floor 2,200 3,300
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 $17 for each bookshelf model and $19 for each floor model. Labor costs are $29 per hour using regular production time and $40 using overtime. Greenville has up to 3,100 hours of regular production time available each month and up to 1,700 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 $12 per cabinet.
Required:
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.
Model Month 1 Month 2
Bookshelf 2,800 1,900
Floor 2,200 3,300
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 $17 for each bookshelf model and $19 for each floor model. Labor costs are $29 per hour using regular production time and $40 using overtime. Greenville has up to 3,100 hours of regular production time available each month and up to 1,700 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 $12 per cabinet.
Required:
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.
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