Reference no: EM132710772

MASC20004 Quantitative Methods for Business - Middle East College

Learning Outcome 1: Construct and solve Linear Programming models.
Learning Outcome 2: Construct and test statistical hypotheses.

Assignment Objective

1. To test the understanding and application of Mathematical concepts learning.
2. To test the calculation skills and Mathematical modelling ability of the learner.
3. To test the knowledge acquired by the learners on using statistical test and ability to infer on the outcomes.

Question 1. Write a brief note on your experience in Mooc Course "Data, Models and Decisions in Business Analytics". List atleast five point which you learned from this Mooc course. Enclose the screenshots of your achievement level in each level. If you have completed share the copy of the completion certificate.

Question 2. A college offers produces three different degrees, A, B and C. Each Student needs to attend and examined by two departments M and N. Department M has two tutors teaching the modules M1 and M2, while N has three tutors teaching the modules N1, N2 and N3. Degree A can be awarded to any student who passes any one module examinations in the departments M and one module in department N. Degree B can be awarded to any student who passes any one module in department M and module N1 in department N. Degree C can be awarded to any student who passes the module M2 in department M and module N3 in department N. Time taken to award a degree to one student from each department is given in table below. The table also shows total available tutor time per semester, module fee is given in table below. The table also shows total available tutoring hours per semester, salary to the tutors at full capacity, cost of resources required per student and college fee per degree. How many of each type of degree can be awarded from which department so as to maximize the net profit of the college? Assume that every student passes the module in their first attempt. Formulate the Linear programming problem. (Refer Meclearn for # values)

Question 3. Maximize Z = #x + #y
Subject to the constraints
x + 2y ≥ # 2x - y ≤ #
2x + y ≤ #
x, y ≥ 0

Solve the above LPP graphically. Draw the constraints and objective function in a graph sheet (using black color pen) and shade the optimal region. Upload the scanned image. (Refer Meclearn for # values)

Question 4. Solve the following linear programming problem using simplex method. (Refer Meclearn for # values)
Maximize Z = #x1 + #x2
Subject to
x1 + 2x2 ≤ #
x1 ≤ #
0 ≤ x2 ≤ #
x1 unrestricted

Question 5. The specifications for the production of a certain alloy call for #% copper. A sample of # analyses of the product showed a mean copper content of #% and a standard deviation of # %. Can we conclude at 0.01 significance levels that the product meets the required specifications? (Refer Meclearn for # values)

Question 6. In an examination given to students at a large number of different schools, the mean grade was # and the standard deviation was #. At one particular school where # students took the examination, the mean grade was #. Test the hypothesis that the mean grade of the students has changed, using the significance level 0.05. (Refer Meclearn for # values).

Attachment:- Quantitative Methods for Business.rar