Math451 Unit 2 Questions Allocation

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Mathematics

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Feb 20, 2024

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Math451 Unit 2 Allocation Questions Helen’s transportation company tries to deliver the following crops with two identical trucks. There are a total of 600 boxes of apples, 500 boxes of bananas, 450 boxes of nectarines, and 350 boxes of peaches. These equal sized boxes can carry up to 25 pounds of apples, 35 pounds of bananas, 45 pounds of nectarines, and 30 pounds of peaches. The shipping charge for apples, bananas, nectarines, and peaches are $6.35, $6.45, $6.35, and $6.50 per box, respectively. Each truck has a weight limit of 32,000 pounds and a capacity not more than 1,000 boxes. Question 1 How much is the capacity of Truck #2 completely loaded and is ready to move? 1,000 boxes 900 boxes 100 boxes 32,000 boxes Solution The correct answer is: 1,000 boxes Correct  Hide solution Question 2 What crop was completely loaded to Truck #1? Peaches and nectarines Apples and peaches Bananas Peaches Solution The correct answer is:
Peaches Correct  Hide solution Question 3 What is the value for the objective function after running the problem through Excel’s Solver? $12,167.50 $1,000 $32,000 $7,722.50 Solution The correct answer is: $12,167.50 Correct  Hide solution Question 4 What resources does Helen run out first in delivering the crops? Weight and capacity of Truck #2 None Weight and capacity of Truck #1 Weights of both trucks Solution The correct answer is: None Correct  Hide solution Question 5 Which of the following crops did she completely deliver after running the problem through Excel’s Solver? Bananas, nectarines, and peaches All of the crops Apples, bananas, and peaches Apples, bananas, and nectarines Solution
The correct answer is: All of the crops Correct  Hide solution Question 6 Abstraction helps focus on some parts of the problem by hiding certain details. Consider a trucking company that is delivering the following crops: 500 boxes of apples, 25 pounds each 450 boxes of bananas, 35 pounds each 400 boxes of nectarines, 45 pounds each 400 boxes of peaches, 30 pounds each The shipping charge for apples, bananas, nectarines, and peaches are $6.10, $6.35, $6.20, and $6.40 per box, respectively. The truck has a weight limit of 35,000 pounds and a capacity of no more than 1,100 boxes. The goal is to maximize the total shipping charge. Using the trucking problem above, there are products and weights per product . There is a weight limit WL. Which of the following expresses the weight limit? Let be the number of that is shipped. Solution The correct answer is Correct  Hide solution Question 7 Consider a trucking company that is delivering the following crops:
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