# Question

Consider the following problem.

Maximize Z = x1 + 2x2,

Subject to

and

x1 ≥ 0, x2 ≥ 0,

where Z measures the profit in dollars from the two activities and the right-hand sides are the number of units available of the respective resources.

(a) Use the graphical method to solve this model.

(b) Use graphical analysis to determine the shadow price for each of these resources by solving again after increasing the amount of the resource available by 1.

(c) Use the spreadsheet model and Solver instead to do parts (a) and (b).

Maximize Z = x1 + 2x2,

Subject to

and

x1 ≥ 0, x2 ≥ 0,

where Z measures the profit in dollars from the two activities and the right-hand sides are the number of units available of the respective resources.

(a) Use the graphical method to solve this model.

(b) Use graphical analysis to determine the shadow price for each of these resources by solving again after increasing the amount of the resource available by 1.

(c) Use the spreadsheet model and Solver instead to do parts (a) and (b).

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