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{"ops":[{"insert":"A company produces two goods X and Y. The profit function of the company is given as follows:"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"P = I00X- 2X2 - XY + 180Y \u2013 4Y2"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"The company is under obligation to produce a minimum combined output of 30 units. Find the output of X and Y subject to a total of 30 units that maximize total profit by using Lagrangian multiplier methods."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"}]}
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