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 |
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