Suppose that for Example 15.1, the gas-processing plant decides to produce a third grade of product with the following characteristics:

In addition, suppose that a new source of raw gas has been discovered so that the total available is doubled to 154 m3/week.(a) Set up the linear programming problem to maximize profit.(b) Solve the linear programming problem with the simplex method.(c) Solve the problem with a software package.(d) Evaluate which of the following options will raise profits the most: increasing raw material, storage, or productiontime.

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Supreme 15 m/lonne 12 hr/tonne 5 tonnes $250/lonne Raw gas Produclion time Storage Profit