Model/Science Management

Running head: MODEL/SCIENCE MANAGEMENT
Model/Science Management
Name of the Student:
Name of the University:
Author’s Note:

1MODEL/SCIENCE MANAGEMENT
Table of Contents
Answer to Question 1:.....................................................................................................................2
Requirement a:.............................................................................................................................2
Requirement b:.............................................................................................................................2
Requirement c:.............................................................................................................................3
Requirement d:.............................................................................................................................5
Requirement e:.............................................................................................................................6
Answer to Question 2:.....................................................................................................................7
Requirement a:.............................................................................................................................7
Requirement b:.............................................................................................................................8
Answer to Question 3:.....................................................................................................................8
Requirement a:.............................................................................................................................8
Requirement b:.............................................................................................................................9
Answer to Question 4:...................................................................................................................11
Requirement a:...........................................................................................................................11
Requirement b:...........................................................................................................................11
Answer to Requirement 5:.............................................................................................................13
Bibliography:.................................................................................................................................15

2MODEL/SCIENCE MANAGEMENT
Answer to Question 1:
Requirement a:
The optimal solution and total profit contribution is shown below:
Particulars Model A Model Z TOTAL
Selling Units 200 1040 1240
Profit Contribution per Unit $180 $250
Total Profit Contribution $36,000 $2,60,000 $2,96,000
Steel Alloy Required per unit 15 20
Total Requirement of Steel Alloy 3000 20800 23800
Manufacturing Time per unit (in minutes) 30 45
Total Manufacturing Time (in hours) 100 780 880
Assembly Time per unit (in minutes) 80 100
Total Assembly Time (in hours) 267 1733 2000
Requirement b:
If Kitto would accept the offer of the new supplier, then the new liner program would be
as follows:
Max 180A + 250Z
s.t.
15A + 20Z ≤ 35,200 Steel available
30A + 45Z ≤ 1500*60 Manufacturing minutes
80A + 100Z ≤ 2000*60 Assembly minutes
1A ≥ 200 Model A minimum frames required.
A, Z ≥ 0 Non-negativity constraints

3MODEL/SCIENCE MANAGEMENT
The optimal solution for this new program is given below:
Particulars Model A Model Z TOTAL
Selling Units 200 1040 1240
Profit Contribution per Unit $180 $250
Total Profit Contribution $36,000 $2,60,000 $2,96,000
Steel Alloy Required per unit 15 20
Total Requirement of Steel Alloy 3000 20800 23800
Manufacturing Time per unit (in minutes) 30 45
Total Manufacturing Time (in hours) 100 780 880
Assembly Time per unit (in minutes) 80 100
Total Assembly Time (in hours) 267 1733 2000
From the above table, it is visible that the optimal selling units of both the models would
not change even for increasing the availability of steel alloys and the total steel alloy
consumption would be under 35000 pounds. Hence, the company should not accept the offer.
Requirement c:
The new linear program and the optimal solution for the stated scenario are given below:
Max 180A + 250Z
s.t.
15A + 20Z ≤ 35,000 Steel available
30A + 45Z ≤ 1500*60 Manufacturing minutes
80A + 100Z ≤ 2500*60 Assembly minutes
1A ≥ 200 Model A minimum frames required.
A, Z ≥ 0 Non-negativity constraints