Suppose that for example 15.1, the gas-processing plant decides to produce a third grade of product with the following characteristics: supreme raw gas 15 m3/tonne production time 12 hr/tonne storage 5 tonnes profi t $250/tonne 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 profi t.
(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 profi ts the most: increasing raw material, storage, or production time.