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Question 935447: movie theaters pay a certain price for the movies that you and i see. Suppose a theater pays $1,500 for each showing of a popular movie. If they charge $7.50 for each ticket they sell,then they will lose money if ticket sales are less then $1,500. However, they will make a profit if ticket sales are greater than $1,500. What is the range of ticket they can sell and still lose money? what is the range of tickets they can sell and make a profit?
Found 2 solutions by TimothyLamb, stanbon:
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! profits linear model:
y = 7.50x - 1500
where:
x = number of tickets sold per movie showing
y = profit made per movie showing
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break even point:
0 = 7.50x - 1500
7.50x = 1500
x = 1500/7.50
x = 200
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answer:
the theater loses money when they sell between zero and 199 tickets per showing
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the theater makes profit when they sell between 201 tickets and the number of tickets equal to the seating capacity, which should be significantly more than 200 seats
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note:
this ignores the revenue generated by the sale of food and drink, which is a significant portion of the profit model for any theater
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Answer by stanbon(75887)  (Show Source):
You can put this solution on YOUR website! movie theaters pay a certain price for the movies that you and i see. Suppose a theater pays $1,500 for each showing of a popular movie. If they charge $7.50 for each ticket they sell,then they will lose money if ticket sales are less then $1,500. However, they will make a profit if ticket sales are greater than $1,500. What is the range of ticket they can sell and still lose money? what is the range of tickets they can sell and make a profit?
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Break-even # of tickets:: 1500/7.5 = 200
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Lose money if range of ticket sales is 0 to 199
Make a profit if range of ticket sales is 201 to +oo
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Cheers,
Stan H.
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