MAGT 310- Quantitative Analysis for Business

Instructions – Please read carefully!

  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.
  3. Don’t remove this cover page when you submit your answers.

 

 

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

 

 

 

Answer the following questions

 

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