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The B-Products Plc produces two products, X and Y. The profit function of this company is given by:p = 10X - X 2 - XY

The B-Products Plc produces two products, X and Y. The profit function of this company is given by:p = 10X - X² - XY + 18Y - 2Y²

The company is under the obligation to produce a minimum combined output of 40 units. Find the number of units that will be produced of the products X and Y, subject to the total of 40 units, which maximizes profit. Use the Lagrangian multiplier method.

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