# quantitate analysis for business

solve the questions

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:

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