# MAGT 310- Quantitative Analysis for Business

1. Write your name; student ID number and section number at the top of this cover sheet and rename the file by your (ID number and name).
2. You have 1 week to complete and submit your assignment in Word file through Moodle.

 Questions Q1 Q2 Q3 Q4 Total ILOS A1, A2 B1, B2 B1, B3 C1, C2 Maximum points 6 10 10 6 30 Points Earned

Question 1:  Based on what you have studied about Quantitative Analysis, answer the following discussion question:  ( 6 marks)

Suggest 2 potential actions that a quantitative analyst could undertake to ensure that the implementation stage of a project is successful.

Question (2):  Referred to your understanding of the special cases in LP , answer the following question:   ( 10 marks)

Develop your own set of constraint equations and inequalities and use them to illustrate graphically each of the following conditions:

• No feasible solution problem (4 marks)
• An Unbounded problem (4 marks)

Question (3): Referred to the below table, solve the following questions:  (10 marks)

(The graph should be drawn here in the Word document).

 X1 X2 Availability per month Constraint 1 1 2 45 Constraint 2 3 3 87 Constraint 3 2 1 50 Maximize profit 50 20

Required:

• Formulate the problem as linear program. (Objective function- your own decision variables- Constraints).                                                          (4 marks)
• Draw the problem graphically and assign the feasible region and the optimal point on the graph. (3 marks)
• Determine the optimal value of Z.                                               (1 marks)
• What are the binding and nonbinding constraints?    (1 mark)
• What is the slacks for constraint (1)?        (1 mark)

Question 4: Answer the following problem: (6 marks)

Dell computers Company is promoting to its products with 3 types of advertisements (Billboards, Morning news, and Radio). Dell computers company wants to have at least 5 advertisements per day, but spend no more than \$ 50 000 as the company budgeted up.

The Company wants to maximize the audience exposure. Formulate using Linear Programming.

The following Data are given:

 Ad Type Estimated Audience reached. Cost per Ad Maximum Ads week Billboards 3000 \$ 5000 10 Morning news 4000 \$ 7000 6 Radio 75 000 \$ 10 000 2

Best of luck