Determine the best mix


The owner of a donut shop wishes to determine the best mix for her three products: zingers, crullers, and éclairs. Her shop is limited to working 12days/month on dough making and 30 days/month on baking for these products. The following tableindicates production data for the doughnuts.


Usage per unit of doughnut

Resources


zingers

crullers

éclairs

availabilities

Dough making days

0.25

1

0.5

12

Baking days

0.5

1

2

30

Contribution to profit ($ per 100 doughnuts)

3

7

6.5

 

Let the decision variables of the problem be:

x1 = Number of zingers produced per month,

x2 = Number of crullers produced per month,

x3 = Number of éclairs produced per month.

Solve problem 1 numerically using any methodology. The optimal feasible solution is: (place checkmark next to best solution)

Select the most appropriate answer from the choices below.

A. x1 =0, x2 =0, x3 = 0, and profit = 0  (do nothing)

B. x1 =?, x2 =?, x3 = ?, and profit = ?  (there is no solution)

C. x1 =36, x2 =0, x3 = 6, and profit = $147  (the proposed solution from problem #1)

D. None of the above

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