Question
. You have a band that has recorded 2 albums. Because of Covid, you havent performed an album release concert, so with Covid winding down,
. You have a band that has recorded 2 albums. Because of Covid, you havent performed an album release concert, so with Covid winding down, you are planning a double-album concert. The concert will be performed in two halves, with an intermission between them. Each album has 9 original songs, and you would like to perform all 18 songs at the concert. Your albums, with their song lengths (in minutes and seconds), are as follows: Cosmos Sing the Blues Bring on the Sun 3:29 Blue Aint So Bad 4:12 Comet 3:34 Loose Ends 3:32 Dancin Cross the Universe 4:18 Love Me Blue 4:19 Down the Milky Way 6:31 My Blue Love 7:27 Heaven 5:33 Outta Here 6:07 My Superstar 3:11 Precious 3:19 No Country for Spacemen 5:53 Suck It Up 5:24 The Space Between Us 4:26 Thats How Ya Sing the Blues 4:49 Walkin On The Moon 7:29 The Lady Has the Blues 4:12 You would like to determine the optimal set list by assigning these songs to either the concerts first or second half. You would like to meet the following criteria: a. You would like the two halves to be as close in time as possible. b. You do not want to perform more than 5 songs from either album before or after intermission. (In other words, you must have at least 4 songs from each album in each half of the concert.) How should you split your 2 albums up (by assigning songs to either the first or second half) to meet these criteria? What is the time difference between the two halves?
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