PLEASE DO NOT COPY EXISTING ANSWERS FROM CHEGG, I'VE SEEN THEM MYSELF.

The Robinsons are planning a wedding and reception for their daughter, Rachel. Some of the most expensive items served at the reception and dinner are wine and beer. The Robinsons are planning on 400 guests at the reception, and they estimate that they need at least four servings (i.e., a glass of wine or bottle of beer) for each guest in order to be sure they wont run out. A bottle of wine contains five glasses. They also estimate that more than 50% guests will prefer wine to beer. A bottle of wine costs $6, and a bottle of beer costs $1. The Robinsons have budgeted $1,500 for wine and beer. The caterer has advised them that typically 8% of the wine and 15% of the beer will be left over. Finally, the Robinsons want to minimize their waste (i.e., cost from unused wine and beer). How many bottles of wine and beer should the Robinsons order?

Formulate a linear programming model for this problem.

Would this be the correct equation:

Minimize: Z=6*0.08y + 1*(0.15x) ; assuming y= # of bottles of wine and x= # of bottles of beer?

Most importantly, please explain how to come up with the restrictions, especially because units are not uniform when it comes to the serving size.

Thank you!!