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A manufacturer wishes to produce two commodities A and B. The number of units of material, labour…
A manufacturer wishes to produce two commodities A and B. The number of units of material, labour and equipment needed to produce one unit of each commodity is shown in the table given below. Also shown is the available number of units of each item, material, labour, and equipment.
Find the maximum profit if each unit of commodity A earns a profit of ₹ 2 and each unit of B earns a profit of ₹ 3.
| Items | Commodity A | Commodity B | Available no. of Units |
|---|---|---|---|
| Material | 1 | 2 | 8 |
| Labour | 3 | 2 | 12 |
| Equipment | 1 | 1 | 10 |
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From ISC 2022 Specimen Mathematics Paper 1, question 14.