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A company uses three machines to manufacture two types of shirts, half sleeves and full sleeves…
A company uses three machines to manufacture two types of shirts, half sleeves and full sleeves. The number of hours required per week on machine $M_1$, $M_2$ and $M_3$ for one shirt of each type is given in the following table:
None of the machines can be in operation for more than 40 hours per week. The profit on each half sleeve shirt is ₹ 1 and the profit on each full sleeve shirt is ₹ 1·50. How many of each type of shirts should be made per week to maximize the company’s profit?
| $M_1$ | $M_2$ | $M_3$ | |
|---|---|---|---|
| Half sleeves | 1 | 2 | 8/5 |
| Full sleeves | 2 | 1 | 8/5 |
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From ISC 2020 Mathematics Paper 1, question 22.