Chapter 7 b625aswc07a.pptx - More Linear Programming...

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More Linear Programming Continued file 7a
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Here is a basic linear programming problem we developed before. We want to Maximize profit = 40b + 50m, but we have constraints 1b + 2m ≤ 40, 4b + 3m ≤ 120, b, m ≥ 0, Where b stands for bowls and m stands for mugs. The point is we want to make as much profit as we can by making bowls and mugs, but we face constraints that give us road blocks to overcome.
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Both constraints m b Feasible region We saw this feasible region for the product mix problem and saw in theory how the isoprofit line solution method could give us the answer. And as I suggested with the three examples, the solution will probably be at a corner. The corner solution method says just check profit at the corners - choose These are corners corner with highest profit.
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Corner point solution method The corners at the axes are relatively easy to check (they are the intercepts I mentioned before). Find the intercept of the relevant constraint and plug the b and m values into profit and see what number is obtained. The corner inside the graph is a little harder to find in math terms. A math systems of equations approach will never fail you. You are expected to have studied the method in your past and use it here. You can do so, but the method takes practice to get the tricks of the trade down. The book also shows the substitution method.
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