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A company manufactures seven different products: A, B, C, D, E, F, and G. Each product can bemanufactured using two types of machines: M1 and

A company manufactures seven different products: A, B, C, D, E, F, and G. Each product can bemanufactured using two types of machines: M1 and M2. In addition, each product is made from three different raw materials RM1, RM2, and RM3. Moreover, the demand of: (i) product A should be at least 200 units, (ii) products B and E is limited to 800 and 400, respectively, and (iii) remaining products is unlimited. Relevant data is given in the table below

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Item Item input (in units) to make one unit of Max availability A B C D E F G per day RM1 0.3 0.2 0.2 0.3 02 0.1 0.1 300 RM2 0.2 0.4 0.4 0.1 0.4 0.3 0.4 500 RM3 0.3 0.2 0.1 0.2 0.2 0.3 0.1 450 M1- time (hours) 0.02 0.03 0.04 0.01 0.03 0.02 0.03 70 M2 - time (hours) 0.05 0.02 0 0.06 0.04 0.02 0.05 80 Profit (S'unit) 13 10 7 20 14 10 19 The production manager claims that the manufacturing process for product G can be changed so that the time it requires in M1 can be reduced by 50% without affecting quality, demand or selling price of the product. What will be the effect of this change on the optimum product mix and total profit of the company

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