just needs the formulation and objective function

Eight songs from an artist are available to be recorded on a CD The maximum recording space in a CD is 60 minutes. The following table describes the characteristics of each song [7 marks] Duet Song Recording (minutes) 1 10 2 8 3 12 4 9 Space Solo Song Yes No Yes No Yes No Yes No . 2 Song No Yes No Yes No Yes Old Song Yes Yes. Yes Yes No No No Expected Demand 4000 5000 3000 New Song No No No No Yes Yes Yes Yes 6000 5 14 13 3000 4000 6 7 6 No 2000 8 11 Yes No 7000 The recorded CD's demand would be the maximum of the song's demand in it For example, if only songs 1 and 2 are recorded in the CD then its demand would be maximum of 4000 and 5000, ie, 5000 Old songs can be recorded only if there are at least two new songs recorded The recording space of Duets in the CD cannot exceed the recording space of Solo in it Formulate an integer program to maximize the demand of the recorded CD You are required to only formulate (write the decision variables, objective function and constraints) and not solve or write the solution 2 Consider the following binary variables [8 marks) Eight songs from an artist are available to be recorded on a CD The maximum recording space in a CD is 60 minutes. The following table describes the characteristics of each song [7 marks] Duet Song Recording (minutes) 1 10 2 8 3 12 4 9 Space Solo Song Yes No Yes No Yes No Yes No . 2 Song No Yes No Yes No Yes Old Song Yes Yes. Yes Yes No No No Expected Demand 4000 5000 3000 New Song No No No No Yes Yes Yes Yes 6000 5 14 13 3000 4000 6 7 6 No 2000 8 11 Yes No 7000 The recorded CD's demand would be the maximum of the song's demand in it For example, if only songs 1 and 2 are recorded in the CD then its demand would be maximum of 4000 and 5000, ie, 5000 Old songs can be recorded only if there are at least two new songs recorded The recording space of Duets in the CD cannot exceed the recording space of Solo in it Formulate an integer program to maximize the demand of the recorded CD You are required to only formulate (write the decision variables, objective function and constraints) and not solve or write the solution 2 Consider the following binary variables [8 marks)