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at what ticket prices should the theater sell tickets if it must earn at least 3200 in revenue to break even on the musical production? explain how you know

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To earn at least $3,200 in revenue, the ticket prices should be $10 or $40.

An equation is a mathematical expression that depicts the relationship between two or more variables and numbers.

(400 - 8p)p Revenue = number of tickets sold * price per ticket

400p - 8p2 = 400p

In the absence of revenue:

400p - 64p² = 0

p = $0 or p = $50

For at least $3200 in revenue:

400p - 8p² = 3200

p = $10 or p = $40

The ticket pricing should be $10 or $40 to generate at least $3,200 in revenue.

Complete question:

Based on past musical productions, a theater predicts selling 400−8p number of tickets when each ticket is sold at p dollars. Using the table from the last question answer the following questions:

1. At what ticket prices should the theater sell the tickets if it must earn at least $3,200 in revenue to break even (to not lose money) on the musical production? Explain how you know.

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