Down Chemicals manufacturers three chemicals: A, B and C. These chemicals are produced via 2 production processes: 1 and 2. Running process 1 for a month costs $40,000/run and yields 30,000 units of A, 10,000 units of B and 10,000 units of C. Running process 2 for a month costs $10,000/run and yields 10,000 units of A and 10,000 units of B. To meet the customer demand, at least 100,000 units of A, 50,000 units of B and 30,000 units of C must be produced on monthly basis. The firm also has incurs an additional cost to purchase the ingredients for the chemicals. The cost of ingredients for A, B and C are $2, $1 and $1 respectively per unit.   Find the monthly production plan

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Down Chemicals manufacturers three chemicals: A, B and C. These chemicals are produced via 2 production processes: 1 and 2. Running process 1 for a month costs $40,000/run and yields 30,000 units of A, 10,000 units of B and 10,000 units of C. Running process 2 for a month costs $10,000/run and yields 10,000 units of A and 10,000 units of B. To meet the customer demand, at least 100,000 units of A, 50,000 units of B and 30,000 units of C must be produced on monthly basis. The firm also has incurs an additional cost to purchase the ingredients for the chemicals. The cost of ingredients for A, B and C are $2, $1 and $1 respectively per unit.

 

Find the monthly production plan

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