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4. You are in charge of loading cargo ships at a major East Coast port. You have been asked to prepare a loading plan for a freighter bound for Africa. An agricultural commodities dealer would like to transport the following products aboard this ship: Commodity Tons Avail. Volume/ton Profit/ton (cubic ft) ($) 70 1 4000 40 2 3000 25 50 3 2000 60 60 4 1000 50 80 You can elect to load any and/or all of the available product. However, the ship has 3 cargo holds with the following capacity restrictions: Cargo Hold Weight Capacity (tons) 3000 Vol. Capacity (cubic ft) 100,000 150,000 120,000 Forward Center 5000 Rear 2000 More than one type of commodity can be placed in the same cargo hold. However, the ship must be balanced, so the weight in the forward hold must be within 10% of the weight in the rear hold, and the center hold must be assigned between 40 and 60% of the total weight.

4. You are in charge of loading cargo ships at a major East Coast port. You have been asked to prepare a loading plan for a freighter bound for Africa. An agricultural commodities dealer would like to transport the following products aboard this ship: Commodity Tons Avail. Volume/ton Profit/ton (cubic ft) ($) 70 1 4000 40 2 3000 25 50 3 2000 60 60 4 1000 50 80 You can elect to load any and/or all of the available product. However, the ship has 3 cargo holds with the following capacity restrictions: Cargo Hold Weight Capacity (tons) 3000 Vol. Capacity (cubic ft) 100,000 150,000 120,000 Forward Center 5000 Rear 2000 More than one type of commodity can be placed in the same cargo hold. However, the ship must be balanced, so the weight in the forward hold must be within 10% of the weight in the rear hold, and the center hold must be assigned between 40 and 60% of the total weight.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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write a linear program that will maximize profits. You don’t need to solve it. Hint: Define your variables as: Xij = tons of commodity i loaded into cargo hold j

4. You are in charge of loading cargo ships at a major East Coast port. You have been asked to prepare a loading plan for a freighter bound for Africa. An agricultural commodities dealer would like to transport the following products aboard this ship: Commodity Tons Avail. Volume/ton Profit/ton (S) 70 (cubic ft) 1 4000 40 2 3000 25 50 3 2000 60 60 4 1000 50 80 You can elect to load any and/or all of the available product. However, the ship has 3 cargo holds with the following capacity restrictions: Cargo Hold Weight Capacity (tons) Vol. Capacity (cubic ft) 100,000 150,000 120,000 Forward 3000 Center 5000 Rear 2000 More than one type of commodity can be placed in the same cargo hold. However, the ship must be balanced, so the weight in the forward hold must be within 10% of the weight in the rear hold, and the center hold must be assigned between 40 and 60% of the total weight.
Transcribed Image Text:4. You are in charge of loading cargo ships at a major East Coast port. You have been asked to prepare a loading plan for a freighter bound for Africa. An agricultural commodities dealer would like to transport the following products aboard this ship: Commodity Tons Avail. Volume/ton Profit/ton (S) 70 (cubic ft) 1 4000 40 2 3000 25 50 3 2000 60 60 4 1000 50 80 You can elect to load any and/or all of the available product. However, the ship has 3 cargo holds with the following capacity restrictions: Cargo Hold Weight Capacity (tons) Vol. Capacity (cubic ft) 100,000 150,000 120,000 Forward 3000 Center 5000 Rear 2000 More than one type of commodity can be placed in the same cargo hold. However, the ship must be balanced, so the weight in the forward hold must be within 10% of the weight in the rear hold, and the center hold must be assigned between 40 and 60% of the total weight.
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