Lex Rex is an aspiring rock band composed of college friends based in Raleigh, NC. They are

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Lex Rex is an aspiring rock band composed of college friends based in Raleigh, NC. They are planning a short tour that will take them to five other college towns throughout the Mid-Atlantic region over a 10 day period. The distances between each of the cities planned for their tour are given below:

Lex Rex is an aspiring rock band composed of college

The venues where the band will perform have other acts booked on some the dates the band will be on tour. The following table indicates (with entries of 1) the dates that venues are available in each of the cities.

Lex Rex is an aspiring rock band composed of college

a. Create a spreadsheet model that can be optimized to determine the tour that minimizes the number of miles traveled. What is that tour?
b. Now use your model to determine the tour that minimizes the number of days on the road. What is that tour?
c. Now use your model to determine the tour that minimizes the amount of driving on a tour lasting 8 days. (Assume it takes 1 day to travel from any of the cities back to the band home town.)

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