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X1, X2 and X3 are three chemical compounds produced by a company. The slack variable, X4, X5 and X6, represent unused amounts of three chemicals, which combine in different proportions to make the three compounds. The following is a output of a spreadsheet package designed to solve linear programming problems:
When interpreting the spreadsheet, which of the following statements are incorrect? Assume units are in tonnes and $s. A. If a decision is made to increase the production of X3 from zero, total contribution would fall by $44 for each tonne of X3 produced and sold, given existing constraints on material supply. B. Contribution would decrease by $80 if one extra tonne of X5 were to be made available. C. The contribution per tonne of X3 would have to rise by $44 or more to make the production of X3 worthwhile. D. Total contribution, given the optimal solution, will be $290,000 and there will be 1200 tonnes of X3 unused. E. The optimal solution is to make and sell 4,500 tonnes of X1, 9,000 tonnes of X2 , but none of X3. F. For each extra tonne of X4 that could be made available, the production plan could be rearranged so as to increase total contribution by $340. |