Working on a Linear Programming problem. Decision variables: A= # of apple pies

Question

Working on a Linear Programming problem.

Decision variables: A= # of apple pies to be baked/ G= # of grape pies to be baked

Constraints: amount of sugar used has to be less than 1200 cups, amount of flours to be used is 2100 cups, and amount of time used to bake the pies must be less than 60 hours.

Objective function: 1.5A + 1.2G MAX

Mathematical constraints: (Sugar) 1.5A+ 2.0G<=1200 CUPS, (Flour) 3.0A+3.0G<=2100 CUPS, (Time) 6.0A+3.0G<=3600 MINUTES

I'm very confused as to where these numbers come from in the mathematical constraints above?

Explanation / Answer

There must be additional information available. From the mathematical constraints, it seems that following must be provided:

No. of cups of flour used per apple pie = 3

No. of cups of flour used per grape pie = 3

No. of cups of sugar used per apple pie = 1.5

No. of cups of sugar used per grape pie = 2

Time taken to bake an apple pie = 6 mins

Time taken to bake a grape pie = 3 mins

Also, since the objective function is to maximize 1.5A + 1.2G, 1.5 and 1.2 might denote profit per apple and grape pie respectively.

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