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- Homework Statement
- Gov’t Mule is planning a show at the Art Park in Lewiston for next summer. The year before they charged $100 and 3000 people attended the show. Through market research they learned that for every $2 decrease in price they would have another 150 people attend the show.

The band only really needs to earn $67300 in order to pay for all the touring costs. They decide they are willing to earn just $67300 in order to have the maximum number of people attend the concert. How much should they charge for this to happen and how many people attended the show?

- Relevant Equations
- Quadratic equations?

This seems like a simple problem, but I am a little confused by a few things.

For one, what is the use of the piece of information that when they charged $100 per person they got 3000 people to come?

Also, how should I proceed with the information "for every $2 decrease in price they would have another 150 people attend the show." Does this mean that the two quantities are inversely proportional? Like if P is population and C is cost per person, is P = -75C?

For one, what is the use of the piece of information that when they charged $100 per person they got 3000 people to come?

Also, how should I proceed with the information "for every $2 decrease in price they would have another 150 people attend the show." Does this mean that the two quantities are inversely proportional? Like if P is population and C is cost per person, is P = -75C?