Short Answer / Please only answer part C ONLY PART “C” please (a) When you solve an integer programming problem (suppose it is a maximization prob-lem), how do you obtain an upper bound on the optimal objective value? How do youobtain a lower bound?(b) Suppose you use a binary variable ya to represent whether or not event A will happen,and use a binary variable yB to represent whether or not event B will happen. Howdo you model the following logic constraint using an inequality?If A happens = then B must happen(c) In class we talked about how to model constraints like "either condition A holdsor condition B holds (or both)". How about when you have three conditions? Forexample, how to model “at least one of the following three conditions should hold":(i) 3.x1+x2 > 5; (ii) 2x1+2x2 > 4; (iii) x1+3x2 > 5? (If you use big-M inequalitieshere, you do not need to specify the values for the big-M parameters.)

step 1 3x1 + x2 >= 5 2x1 + 2x2 >= 4 x1 + 3x2 >= 5 convert the constraints…

(c) In class we talked about how to model constraints like "either condition A holds or condition B holds (or both)". How about when you have three conditions? For example, how to model "at least one of the following three conditions should hold": (i) 3x1 +x2 > 5; (ii) 2x1+2x2 > 4; (iii) x1+3x2 > 5? (If you use big-M inequalities here, you do not need to specify the values for the big-M parameters.)

(c) In class we talked about how to model constraints like "either condition A holds or condition B holds (or both)". How about when you have three conditions? For example, how to model "at least one of the following three conditions should hold": (i) 3x1 +x2 > 5; (ii) 2x1+2x2 > 4; (iii) x1+3x2 > 5? (If you use big-M inequalities here, you do not need to specify the values for the big-M parameters.)

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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