Step 1 formulation | |
Decision variables | Let the number of regular lattes sold be 'x' |
Let the number of Low-fat lattes sold be 'y' | |
Objective Equation | Maximize Profit = 1.58x + 1.65y |
Espresso constraint equation | 1x + 1y < 100 |
Skim Milk constraint equation | 1.25y < 60 |
2% Milk constraint equation | 1x < 60 |
Whipped cream constraint equation | 0.5x < 30 |
Regular | LowFat | ||||
Number of units | x | y | |||
Profit | 1.58x | 1.65y | |||
Constraints | |||||
Espresso | 1x | 1y | 1x + 1y | < | 100 |
Skim Milk | 0 | 1.25y | 1.25y | < | 60 |
2% Milk | 1x | 0 | 1x | < | 60 |
Whipped cream | 0.5x | 0 | 0.5x | < | 30 |
LHS | Sign | RHS |
Therefore, the ideal mix would be 52 regular lattes and 48 low-fat lattes.
Regular | LowFat | ||||
Number of units | 52 | 48 | |||
Profit | 82.16 | 79.2 | 161.36 | ||
Constraints | |||||
Espresso | 52 | 48 | 100 | < | 100 |
Skim Milk | 0 | 60 | 60 | < | 60 |
2% Milk | 52 | 0 | 52 | < | 60 |
Whipped cream | 26 | 0 | 26 | < | 30 |
LHS | Sign | RHS |
29 A commuter airline makes lattes in the galley and sells them to passengers. A regular...
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