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Resource Availability
1200 minutes of labor per day
60 maximum meals each night
Decision variables
X1 = number of fish meal
X2 = number of beef meal
Objective function
Maximize Z = $12X1 + $16X2
Where Z = total profit per day
$12X1 = profit from fish meals
$16X2 = profit from beef meals
Resource Constraints
X1 + X2 ? 60 (the maximum estimated meals each night)
15X1 + 30X2 ? 1200 (labor in minutes to prepare meals)
2X1 - 3X2 ? 0 (they'll sell at least 3fish/2beef meal)
X1 - 9X2 ? 0 (at least10% of customers will order beef meal)
Non-Negativity Constrains
X1 ? 0 ; X2 ? 0
Complete Linear Programming Model
Maximize Z = $12X1 + $16X2
Subject to X1 + X2 ? 60
15X1 + 30X2 ? 1200
2X1 - 3X2 ? 0
X1 - 9X2 ? 0
X1 , X2 ? 0
Possibilities
X1 X2 RHS Equation form
Maximize 12 16 Max 12X1 + 16X2
Constraint 1 1 1 displayed 300 characters
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?A·Oea?e¤?I
Resource Availability
1200 minutes of labor per day
60 maximum meals each night
Decision variables
X1 = number of fish meal
X2 = number of beef meal
Objective function
Maximize Z = $12X1 + $16X2
Where Z = total profit per day
$12X1 = profit from fish meals
$16X2 = profit from beef meals
Resource Constraints
X1 + X2 ? 60 (the maximum estimated meals each night)
15X1 + 30X2 ? 1200 (labor in minutes to prepare meals)
2X1 - 3X2 ? 0 (they'll sell at least 3fish/2beef meal)
X1 - 9X2 ? 0 (at least10% of customers will order beef meal)
Non-Negativity Constrains
X1 ? 0 ; X2 ? 0
Complete Linear Programming Model
Maximize Z = $12X1 + $16X2
Subject to X1 + X2 ? 60
15X1 + 30X2 ? 1200
2X1 - 3X2 ? 0
X1 - 9X2 ? 0
X1 , X2 ? 0
Possibilities
X1 X2 RHS Equation form
Maximize 12 16 Max 12X1 + 16X2
Constraint 1 1 1 displayed 300 characters
