A Company produces five products using two machines, two raw materials and labour. The profit per unit for each product, availability of each resource and the requirement of each resource for each product are as below Excel sheet. In addition, each product has a maximum market demand. The company does not wish to exceed this for any product. The objective is to maximise profit subject to availability of resources and market demands.

Marketing
20th Edition
ISBN:9780357033791
Author:Pride, William M
Publisher:Pride, William M
Chapter19: Pricing Concepts
Section: Chapter Questions
Problem 6DRQ
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Question 3
A Company produces five products using two machines, two raw materials and labour.
The profit per unit for each product, availability of each resource and the requirement
of each resource for each product are as below Excel sheet. In addition, each product
has a maximum market demand. The company does not wish to exceed this for any
product. The objective is to maximise profit subject to availability of resources and
market demands.
A
1
2 Prod 1
3 Prod 2
4 Prod 3
5 Prod 4
6 Prod 5
7
8
B
15. 384615
30. 769231
9
10 Prod 1
11 Prod 2
12 Prod 3
13 Prod 4
14 Prod 5
15
16
17
18 Total Profit
19 2838. 4615
0
200
100
C
D
Max Market Profit/unit
100
50
50
200
100
Machine Machine 2
0.3
0.5
0.4
0.5
0.4
0.8
0.6
0.9
0.5
0.4
$6.00
$8.00
$5.00
$9.00
$7.00
E
F
Material 1 Material 2 Labour
0.5
0.7
0.4
0.8
0.2
0.9
0.3
0.6
0.4
0.5
Machine
160 K
Machine 170.76923<
Material 1
120<
Material 2 205.38462
Labour
137. 69231
0.6
0.6
0.5
G
0.4
0.3
H
I
Avail
160
400
120
280
300
Transcribed Image Text:Question 3 A Company produces five products using two machines, two raw materials and labour. The profit per unit for each product, availability of each resource and the requirement of each resource for each product are as below Excel sheet. In addition, each product has a maximum market demand. The company does not wish to exceed this for any product. The objective is to maximise profit subject to availability of resources and market demands. A 1 2 Prod 1 3 Prod 2 4 Prod 3 5 Prod 4 6 Prod 5 7 8 B 15. 384615 30. 769231 9 10 Prod 1 11 Prod 2 12 Prod 3 13 Prod 4 14 Prod 5 15 16 17 18 Total Profit 19 2838. 4615 0 200 100 C D Max Market Profit/unit 100 50 50 200 100 Machine Machine 2 0.3 0.5 0.4 0.5 0.4 0.8 0.6 0.9 0.5 0.4 $6.00 $8.00 $5.00 $9.00 $7.00 E F Material 1 Material 2 Labour 0.5 0.7 0.4 0.8 0.2 0.9 0.3 0.6 0.4 0.5 Machine 160 K Machine 170.76923< Material 1 120< Material 2 205.38462 Labour 137. 69231 0.6 0.6 0.5 G 0.4 0.3 H I Avail 160 400 120 280 300
(1) Formulate the problem in Excel Solver. Present your solver screen.
(2) Generate and present your Sensitivity report.
(3) As a factory manager, generate a report focus on resource usage and availability.
(4) Consider the market demand and pricing, generate a report of profitability.
Transcribed Image Text:(1) Formulate the problem in Excel Solver. Present your solver screen. (2) Generate and present your Sensitivity report. (3) As a factory manager, generate a report focus on resource usage and availability. (4) Consider the market demand and pricing, generate a report of profitability.
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