Chucho operates a bus selling sandwiches with visiting construction projects and
ID: 457431 • Letter: C
Question
Chucho operates a bus selling sandwiches with visiting construction projects and industrial zones. Their sandwiches are very popular for its freshness and quality, as Chucho uses the best quality ingredients it buys daily, early in the morning from your supplier. The ingredients that buy every day are: 24 pounds of turkey breast in the oven prepare___________$ 90 36 pounds robif__________$ 189 30 pounds of cured ham with honey___________$ 135 24 pounds of cheese suizo___________$ 81 Bread rolls 300 francs__________$90 condiments________$45 Besides the cost of $ 630.00 of the foods listed above, Chucho incurs other expenses totaling $420.00 daily. These correspond to gasoline, paying your bus, insurance, paper napkins, plastic wrap for sandwiches and the hire of an assistant. Chucho sliced meats and cheese in portions of an ounce; it proceeds to prepare 300 sandwiches, the maximum that can accommodate your bus. He has no problem to sell 300 sandwiches they prepare each day. The following table provides data for the ingredients of each of the five sandwiches that manufactures and selling prices data. Formulate a model to find the number of each type sandwiches to be prepared Chucho daily in order to maximize their profit. Do not forget to define very clearly the meaning of each of the variables that you use in your model. Be very careful in making its objective function without ignoring anything.Explanation / Answer
Formulation Solution:
Decision Variables:
X1 = Units of Pavo de lujo
X2 = Units of Mata Hambre
X3 = Units of El Jamonero
X4 = Units of Club de Oro
X5 = Units of Jay-Lo
Type of Sandwich in units
X1
X2
X3
X4
X5
Price /Unit in $
3.15
5.25
4
6
6.5
Total Revenue = 3.15*X1 + 5.25*X2+ 4* X3 +6* X4 + 6.5*X5
Total cost = $630+$ 420 = $1050
Profit, Z = (Total Revenue – Total Cost)
Objective function = Max Z
Constraints:
Turkey: 4X1 + 2X4 + 3X5 <= +24*16
Rosbif: 4X2 + 2X4 + 3X5 <= +36*16
Ham : 4X3 + 2X4 + 3X5 <= 30*16
Cheese: 1X1 +1X2 +2X3+2X4 <= +24*16
Total unit of sandwiches = X1 +X2+X3+X4+X5 <= 300
X1, X2, X3,X4, X5 = Integer
Solver Solution
Type of Sandwich in units
X1
X2
X3
X4
X5
Price /Unit in $
3.15
5.25
4
6
6.5