Solve the following linear program using the simplex method. Explain each simplex pivot by showing a complete basis representation or simplex tableau for each extreme point visited. Show which variables are basic and which are not, at each step. Compute the value of the objective function and decision variables at optimality:

Maximize Z=12x1 + 18x2
Subject to 6x1 + 5x2 < 60

x1 + 3x2 < 15
x1 < 9
x2 < 4
x1, x2 > 0

(a) It has unique optimal solution
(b) it has alternate optima
(c) it is infeasible
(d) it is unbounded

Ascientist wants to use a model to present the results of his detailed scientific investigation. why would a model be useful? a )because the model makes the concepts easier to understand b) because the model is easy to put together and to use c) because the model prevents other scientists from asking questions d) because the model requires the audience to pay full attention to it i don't know what to choose because between a and d a is much more likely than d because it only wants to get the attention of the audience. i'm confuse.

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