PLEASE SEND THE SOLUTION AS GAMS MODEL, WHEN IT'S NOT APPLICABLE TO GAMS THAT'S NOT HELPING AT ALL!!!

As part of a manufacturing process, Toes Speakers, Inc. must pair individual speakers before it can sell them as a set. The performance of the two speakers depends on their frequency response. To measure the quality of a pair of speakers, the company gener- ates matching coefficients for each possible pair. It calculates the matching coefficients by summing the absolute differences between the responses of the two speakers at 20 discrete frequencies. Bad matches yield a large coefficient, and a good pairing produces a low coefficient. A pair of speakers can only be sold if the matching coefficient for the pair is below a specified threshold, in this case 7000. In order to make for consistent grading, please use the following snippet of GAMS code to create a set of frequencies for each speaker.

 set freq /1*20/, speaker /1*200/; scalar maxfreqres /1500/; scalar spec specification limit /7000/; option seed = 0; 

 parameter response(speaker,freq); response(speaker,freq) = uniform(0,maxfreqres); 

(a) Using the data generated as above, find as many pairs of speakers as possible whose matching coefficients do not exceed the specification limit. Hint: You can formulate the problem as a linear program.

(b) A bad frequency is a frequency where the response differs by more than 500 in absolute value. The CTE (Chief Toes Engineer) has added a new requirement that speakers may not be sold as a pair if they have more than 3 (out of 20) bad frequencies. Write a GAMS model to determine the maximum number of pairs of speakers that can be sold in this case. The total matching coefficient constraint should also be enforced on this problem. (Use the same data as from part a).