Question 2 (8 points): The $75 per credit hour course fee the MBA students have

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Question 2 (8 points): The $75 per credit hour course fee the MBA students have to pay in the College of Business at Packers University has generated a revenue of $56,250 in its first semester. "Now we just need to make sure we spend it all", Ted Thompson, the Dean College of Business said to "Packer-Nation", the University's newspaper. He charged the Graduate Curriculum Committee with generating a shopping list before their next meeting Four months later, Aaron Rodgers, the Chairman of the committee table. As th decision variables, so he added the left-most column for ease of use. of the distributed the following e professor for the Operations Research course, he tended to think in terms of Decision Variable Note Item Cost $750junitMus st get a cover if these are iPads iPad covers with MBA logo $25/unit Must get them if we buy iPads $15,000 Can't afford both this and the iPads Speaker series Subscriptions to the paper version of the Wall Street $10/unit Don't need it if we have the electronic version Journal Subscriptions to the electronic version of the Wall Street $S/unit May be purchased if we get the iPads Based on the table above, what are the constraints for this problem if there are 30 MBA students enrolied this semester? Use the same symbols given in the first column in the table to formulate your constraints. Remember, 1 am only asking for the constraints. You can to explain your rationale. add explanatory notes if you wish

Explanation / Answer

Assuming the following variables:

Where a,b,c,d,e, f >=0 and all are integers

Total number of students in class is 30. iPad cover is a must in case of iPad and should happen only when iPad is purchase, hence

Speaker series c is a binary variable because either speaker series happens or doesn’t happen .

f is the binary condition denoting whether iPads should be there or not,

Either iPads can happen or speaker series can happen, hence

Because students are at max 30, iPads and paper subscriptions cannot be more than 30

As paper subscription depends on iPads, if iPads are 0, then electronic subscription shall not be there

If iPads are there, electronic subscription may be there, hence

If paper subscription there, then electronic subscription need not be there

Let’s estimate the maximum cost that can be incurred.

If 30 iPads are purchased, 30 iPad covers shall be purchased, speaker series cannot be purchased and assume 30 paper subscriptions are purchased (considering higher price), hence maximum cost that can be incurred is

30 x 750+ 30 x 25 + 30 x 10 = 30 x 785 = $23550

Hence 9) 775af + 15000c+ 10dg + 10eh <=23550

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