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.

Purchasing and Supply Chain Management
6th Edition
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
ChapterC: Cases
Section: Chapter Questions
Problem 5.1SC: Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing...
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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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