A company sells two different products A and B, making a profit of Rs.40 and Rs.30 per unit on them respectively. The products are produced in a common production process and are sold in two different markets. The production process has a total capacity of 3,000 man-hours. It takes three hours to produce a unit of type A and one hour to produce a unit of type B. The market has been surveyed and company officials feel that the maximum number of units of type A that can be sold is 8,000 and those of type B is 1200. Subject to these constraints, product can be sold in any combination. Formulate this problem as an LP problem mathematically to maximize the profit.
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Answered by
23
Answer:
Maximum Profit = 60000 when A = 600 & B = 1200
Step-by-step explanation:
three hours to produce a unit of type A and one hour to produce a unit of type B.
3A + B ≤ 3000
A ≤ 8000 but from 3A + B ≤ 3000 3A ≤ 3000 => A ≤ 1000
B ≤ 1200
Profit = 40A + 30B
A B Profit
600 1200 24000 + 36000 = 60000
700 900 21000 + 27000 = 58000
800 600 32000 + 18000 = 50000
900 300 36000 + 90000 = 45000
1000 0 40000 + 0 = 40000
Maximum Profit = 60000 when A = 600 & B = 1200
Answered by
2
Answer:
i need brief answer to understand
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