3. A foundry smelts steel, aluminum, and cast iron scraps to produce two types of metal ingots, I and II, with specific limits on the aluminum, graphite and silicon contents. Aluminum and silicon briquettes may be used in the smelting process to meet the desired specifications. Table 3 and Table 4 set the specifications of the problem: Table 3. Raw material characteristic Contents (%) Input item Aluminum Graphite Silicon Cost/ton ($) Available tons/day Steel scrap 10 5 4 100 1000 Aluminum scrap 95 1 2 150 500 Cast iron scrap 0 15 8 15 2500 Aluminum briquette 100 0 0 900 Any amount Silicon briquette 0 0 100 380 Any amount Table 4. Product Characteristic Ingot I Ingot II Ingredient Minimum Maximum Minimum Maximum Aluminum 8.1% 10.8% 6.2% 8.9% Graphite 1.5% 3.0% 4.1% 0 Silicon 2.5% 8 2.8% 4.1% Demand (tons/day) 130 Determine the optimal input mix the foundry should smelt. 250

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...
Question
3. A foundry smelts steel, aluminum, and cast iron scraps to produce two types of metal ingots, I
and II, with specific limits on the aluminum, graphite and silicon contents. Aluminum and silicon
briquettes may be used in the smelting process to meet the desired specifications. Table 3 and
Table 4 set the specifications of the problem:
Table 3. Raw material characteristic
Contents (%)
Input item
Aluminum
Graphite Silicon
Cost/ton ($) Available tons/day
Steel scrap
10
5
4
100
1000
Aluminum scrap
95
1
2
150
500
Cast iron scrap
0
15
8
15
2500
Aluminum briquette
100
0
0
900
Any amount
Silicon briquette
0
0
100
380
Any amount
Table 4. Product Characteristic
Ingot I
Ingot II
Ingredient
Minimum Maximum
Minimum
Maximum
Aluminum
8.1%
10.8%
6.2%
8.9%
Graphite
1.5%
3.0%
4.1%
0
Silicon
2.5%
8
2.8%
4.1%
Demand (tons/day)
130
Determine the optimal input mix the foundry should smelt.
250
Transcribed Image Text:3. A foundry smelts steel, aluminum, and cast iron scraps to produce two types of metal ingots, I and II, with specific limits on the aluminum, graphite and silicon contents. Aluminum and silicon briquettes may be used in the smelting process to meet the desired specifications. Table 3 and Table 4 set the specifications of the problem: Table 3. Raw material characteristic Contents (%) Input item Aluminum Graphite Silicon Cost/ton ($) Available tons/day Steel scrap 10 5 4 100 1000 Aluminum scrap 95 1 2 150 500 Cast iron scrap 0 15 8 15 2500 Aluminum briquette 100 0 0 900 Any amount Silicon briquette 0 0 100 380 Any amount Table 4. Product Characteristic Ingot I Ingot II Ingredient Minimum Maximum Minimum Maximum Aluminum 8.1% 10.8% 6.2% 8.9% Graphite 1.5% 3.0% 4.1% 0 Silicon 2.5% 8 2.8% 4.1% Demand (tons/day) 130 Determine the optimal input mix the foundry should smelt. 250
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