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Simultaneous Equations

Question 45

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Simultaneous Equations. Buckeye Cinema, Inc., which runs a chain of movie theaters in the state of Ohio, has had great success with a "Tuesday Night at the Movies" promotion. By offering half off its regular $8 admission price, average nightly attendance has risen from 400 to 800 persons. Popcorn (Pop) and other concession (C) revenues tied to attendance have also risen dramatically. Historically, Buckeye Cinema has found that 50% of all movie goers will buy a $4 cup of popcorn, whereas 25% of all movie goers plus 50% of those buying popcorn will spend $3 on soda and other concessions.
A. Write an expression describing total revenue from tickets plus popcorn plus other concessions.
B. Forecast total revenues for both regular and special Tuesday-night pricing.
C. If the profit contribution is 25% on movie ticket revenues, and 75% on popcorn and other concession revenues, is the pricing promotion profitable?

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