# MBA550 Saint Leo Mod 7 Questions Decesion Support Systems Questions

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### Question Description

Mod 7 Questions Decesion Support Systems & Final On-line Exam. Help with Team Project. XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

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JesseCraig
School: Duke University

Attached.

Chapter 4 problem #8
Part a
Decision variables:
Let;
X1 = Items associated with the number of provided eggs
X2 = Items associated with the number of provided bacons strips
X3 = Items associated with the number of provided cereal cups
Constraints, objective function and decision variables:
Minimize (Z)
෍ ⬚(Costi * xi)
Minimize (Z) = \$0.04X1 + \$0.03X2 + \$0.02X3
Subject to the following constraints:
2X1 + 4X2 + X3 ≥ 16
3X1 + 2X2 + X3 ≥ 12
Xi ≥ 0
Part b
Eggs
Quantity
Cost

Vitanin-A
Vitamin-B

Bacon
2
0,04

2
3

Cereal

3
0,03

4
2

Cost
0 \$
0,02

0,17

Vitamin content
Vitamin requirement
1
16 ≥
16
1
12 ≥
12

Chapter 4 problem #12
Part a
Maximize Z = a1X1 + a2X2 + ……anXn
subject to:
b11X1 + b12X2 + …b1nXn (≤, =, ≥)C1
b21X1 + b22X2 + …b2nXn (≤, =, ≥)C2
bn1X1 + bn2X2 + …bnnXn (≤, =, ≥)C3
Where;
a1, a2……an = profit or cost associated with variables
X1, X2,…..Xn = Decision variables
C1, C2,….Cn = Requirement
bn1X1 + bn2X2 + …bnnXn = Resource constraints
Since the company's goal is to maximize profit by producing Sofas, Tables, and Chairs, the objective function is;
Zmax = \$400X1 + \$275X2 + \$190X3
Constraints;
7X1 + 5x=X2 + 4X3 ...

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