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 1000 units of the compound are available. The
profits available per unit of A and B are respectively Rs.30 and Rs.20. Find the optimum
allocation of units between A and B to maximize the total profit. Find the maximum profit.
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Answer:
Answer-
( identity : (a-b)² = a²-2ab +b²)
= {(2x - 5y)}^{2}=(2x−5y)
2
= {(2x)}^{2} - 2(2x)(5y) + {(5y)}^{2}=(2x)
2
−2(2x)(5y)+(5y)
2
= 4 {x}^{2} - 20xy + 25 {y}^{2}=4x
2
−20xy+25y
2
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