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GuptaShashankhw6 - The Movie Casting Problem A Hollywood...

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The Movie Casting Problem. A Hollywood Movie studio is looking for actors, actresses, and one female a new movie. A list of prospective artists is given below. Also the binary decision variable indicating whe artist are hired or not are given (X for lead actor/actress, Y for support actor/actress, and Z for singers). Fo Y CR =1 if Russell Crow is hired as a support actor, and Y CR =0 if he is not. In addition the salary demanded artist (in millions of dollars) is provided along with a projected value added score which is a number from evaluating each artist’s projected value to the movie. The studio has a budget of $30 million. They want to subset of these artists to maximize the project value without going over budget. They assume that the proj value is additive, that is the value of the movie equals the sum of the values of each participant. When cho members, the producers must take a number of conditions into consideration which are given in workshee addition the following conditions An actor can not be chosen for both the lead and support male roles. Also an actress cannot be ch both the lead and support female roles. However, an actress who can sing could be chosen to bot sing if necessary. Exactly one actor must be chosen for the lead male role and one actress for the lead female role. exactly one actor is chosen for the support male role and exactly two actresses for the support fem Finally exactly one singer must be chosen. (So you need 5 separate constraints here.) Actor Benjamin Brat and actress Julia Roberts used to date each other and then they broke up. So awkwardness both of them together should not be hired. Actor Brad Pitt and actress Angelina Jolie are married. They have made it clear to producers that both or neither one should be hired. Jenifer Lopez has stated that she will only sing in the movie if she is also hired as an actress (she however that she is willing to act in the movie even if she is not chosen to sing in it.) The directors have stated that if Julia Roberts is the supporting actress or Denzel Washington is t actor, then Madonna should be hired as the singer.
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