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## MA609 Business Analytics and Data Intelligence MIT

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Assessment Cover Sheet

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### Assignment Description MA609

The assignment is designed to allow you to demonstrate effective business analytics skills using optimisation methods. You will need to use linear programming skills to conduct the analytics and obtain the solutions. This is individual assignment and each student will work independently.

Problem 1: Maxwell Manufacturing makes two models of felt tip marking pens. Requirements for each lot of pens are given below.

The profit for either model is \$1000 per lot.

Problem 2: For this problem:

1. Solve the following linear program graphically and, (2 marks)
1. Show the feasible region and, (1 mark)
1. Show the optimal point. (1 mark)

Problem 3: Consider below the linear programming problem:

Max 3A+2B

s.t.

1A+1B≤10

3A+1B≤24

1A+2B≤16

A,B≥0

The value of the optimal solution is 27. Suppose that the right-hand side for consraint1 is increased from 10 to 11.

a. Use the graphical solution procedure to find the new optimal solution. (1 mark)

b. Use the solution to part (a) to determine the shadow price for constraint 1. (1 mark)

c. The sensitivity analysis for the linear program in this problem provides the following right-hand side range information:

What does the right-hand side range information for constraint 1 tell you about the shadow price for constraint 1? (1 mark)

Note: Students need to submit the assignment as a word document.

MA609 Business analytics and data Intelligence Assignment [Individual] Marking Guide (10 Marks)