A company has a contract to deliver 100, 200, 300, 500, and 400 units of some...

 

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A company has a contract to deliver 100, 200, 300, 500, and 400 units of some com- modity over the next five weeks. Your goal is to determine the optimal hiring, firing, producing, and storing schedule to minimize the cost of the contract under the following conditions: . Each unit not delivered on schedule incurs an $80 penalty; . Any production ahead of schedule requires storage at $30/unit/week; • All deliveries must be met by the end of the fifth week; . Initially, there are 20 workers and 10 units on hand; • Each worker used in production can make 8 units per week; • Each worker who is training the recruits can train 5 new workers; • Wages of every worker and recruit are $300/week, when used in production, training, or when idle; The cost to fire a worker is $300. Please do the following: (a) provide a careful description of all the variables and summarize information in a table form; (b) formulate a suitable linear program; (c) obtain a solution using 1p-solve (or some other method); (d) write a paragraph with an executive summary (your recommendation in non-mathematical terms). A company has a contract to deliver 100, 200, 300, 500, and 400 units of some com- modity over the next five weeks. Your goal is to determine the optimal hiring, firing, producing, and storing schedule to minimize the cost of the contract under the following conditions: . Each unit not delivered on schedule incurs an $80 penalty; . Any production ahead of schedule requires storage at $30/unit/week; • All deliveries must be met by the end of the fifth week; . Initially, there are 20 workers and 10 units on hand; • Each worker used in production can make 8 units per week; • Each worker who is training the recruits can train 5 new workers; • Wages of every worker and recruit are $300/week, when used in production, training, or when idle; The cost to fire a worker is $300. Please do the following: (a) provide a careful description of all the variables and summarize information in a table form; (b) formulate a suitable linear program; (c) obtain a solution using 1p-solve (or some other method); (d) write a paragraph with an executive summary (your recommendation in non-mathematical terms).

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aThere are five variables 1 The number of units to be delivered in each week 2 Th... View the full answer