Formulate a linear programming model and then solve it

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Reference no: EM13920532

The Dervish Chemical Company operates a small plant. Operating the plant requires two raw materials, A and B, which cost $5 and $8 per litre respectively. The maximum available supply per week is 2,700 litres of A and 2,000 litres of B.

The plant can operate using either of two processes, which have differing contributions and raw materials requirements, as follows.

	Raw materials consumed	Contribution
Process	(litres per processing hour)	per hour
	A B	$
1	20 10	70
2	30 20	60

The plant can run for 120 hours a week in total, but for safety reasons, process 2 cannot be operated for more than 80 hours a week.

Formulate a linear programming model, and then solve it, to determine how many hours process 1 should be operated each week and how many hours process 2 should be operated each week.

Reference no: EM13920532

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