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in Mathematics by (6.2k points)

A dealer in rural area wishes to purchase a number of sewing machines. He has only ₹ 5,760 to invest and has space for at most 20 items for storage. An electronic sewing machine cost him ₹360 and a manually operated sewing machine ₹ 240. He can sell an electronic sewing machine at a profit of ₹ 22 and, a manually operated sewing machine a profit of ₹18. Assuming that he can sell all the items that he can buy, how should he invest his money in order to maximize his profit ? Make it as a LPP and solve it graphically.

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Let x and y be electronic and manually operated sewing machine purchased respectively.

For Maximum P, Electronic machines = 8, and Manual machines = 12. Max. profit ₹ 392

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