Question: 2. Sky Ltd. has two products Cloud and Wind. To produce one unit of Cloud, 2 units of material X and 4 units of material

2. Sky Ltd. has two products Cloud and Wind. To produce one unit of Cloud, 2 units of material X and 4 units of material Y are required. To produce one unit of Wind, 3 units of material X and 2 units of material Y are required. As the raw material X is in short supply so not more than 16 units of material X can be used.

Atleast 16 units of material Y must be used in order to meet the committed sales of Cloud and Wind. Cost per unit of material X and material Y are Rs. 2.50 and Rs. 0.25 respectively. The selling price per unit of cloud and wind are Rs. 12 and Rs. 16 respectively.

You are required:

i. To formulate mathematical model.

ii. To solve it for maximum contribution (Graphically).

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