2. Bubba, an independent trucker, hauls appliances from a plant in Dallas to Kno
ID: 454448 • Letter: 2
Question
2. Bubba, an independent trucker, hauls appliances from a plant in Dallas to Knopfler’s appliance store in New Orleans. The four types of appliances hauled by Bubba and the characteristics of each product are listed in the table below. Bubba’s truck has 3520 cubic feet of space available and has a weight capacity for each trip of 30,000. Bubba can only obtain 80 refrigerators from the plant on each trip. In addition, Knopfler wants at least two washing machines for every dryer delivered and at least 10 percent of the products delivered on each load must be microwave ovens. Formulate the LP model to determine how many appliances of each type Bubba should haul to maximize profit/unit on each trip
Appliance
Weight
Size in cubic feet
Profit/unit
Washing Machine
90
12
40
Dryer
70
14
50
Refrigerator
150
24
90
Microwave
30
4
10
2a. How many of each appliance should be hauled on each trip?
2b. Less Dryers would be hauled on each trip if the revenue was equal to what value?
2c. If 3320 cubic feet of space was available on the truck what would be the maximum revenue for each trip?
2d. How much will each load weight (total appliance weight)?
2e. More Washing Machines would be hauled on each trip if the revenue was equal to what value?
Appliance
Weight
Size in cubic feet
Profit/unit
Washing Machine
90
12
40
Dryer
70
14
50
Refrigerator
150
24
90
Microwave
30
4
10
Explanation / Answer
Appliance decision variables* changing cells Weight Size in cubic feet Profit/unit Washing Machine a 39 90 12 40 Dryer b 74 70 14 50 Refrigerator c 80 150 24 90 Microwave d 24 30 4 10 * number of appliances of each type that should be carried per trip Truck's maximum avilaility: Constraints: LHS Sign RHS Space 3520 cubic feet 12a+14b+24c+4dRelated Questions
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