Question: For each of the following objective coefficient changes, determine whether any implied change in the optimal value would be an increase or a decrease and

For each of the following objective coefficient changes, determine whether any implied change in the optimal value would be an increase or a decrease and whether the rate of any such optimal value effect would become more or less steep if it varied with the magnitude of coefficient change. Assume that the model is a linear program and that all variables are nonnegative.

(a) max 13w1 + 4w2, increase 13.

(b) max 5w1 - 10w2, decrease 5.

(c) min -5w1 + 17w2, increase -5.

(d) min 29w1 + 14w2, decrease 14.

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