A machine producing either product A or B can produce A by using 2 units of chemicals and 1 unit of a compound and can produce B by using 1-unit of chemicals and 2 units of the compound. Only 800 units of chemicals and 1,000 units of the compound are available. The profits available per unit of A and B are respectively Rs. 30 and Rs. 20. Draw a suitable diagram to show the feasible region. Also, find the optimum allocation of units between A and B to maximise
the total profit. Find the maximum profit.
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Answer is rupees 14,000.
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