An entrepreneur invests in a new play. The cost includes an overhead of $37,975 plus production costs of $3000 per performance. A sold-out performance brings in $3775. Assume every performance is sold out, and let x represent the number of sold-out performances. a. Write the cost function, C. C(x) = 3000X + 37975 (Type an expression using x as the variable.) b. Write the revenue function, R. R(x) = 3775X (Type an expression using x as the variable.) c. Determine the break-even point. (Type an ordered pair. Do not use commas in large numbers.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Breakeven should be an ordered pair.
An entrepreneur invests in a new play. The cost includes an overhead of $37,975 plus production costs of $3000 per performance. A sold-out performance brings in
$3775. Assume every performance is sold out, and let x represent the number of sold-out performances.
a. Write the cost function, C.
C(x) = 3000X + 37975 (Type an expression using x as the variable.)
b. Write the revenue function, R.
R(x) = 3775X (Type an expression using x as the variable.)
c. Determine the break-even point.
(Type an ordered pair. Do not use commas in large numbers.)
Transcribed Image Text:An entrepreneur invests in a new play. The cost includes an overhead of $37,975 plus production costs of $3000 per performance. A sold-out performance brings in $3775. Assume every performance is sold out, and let x represent the number of sold-out performances. a. Write the cost function, C. C(x) = 3000X + 37975 (Type an expression using x as the variable.) b. Write the revenue function, R. R(x) = 3775X (Type an expression using x as the variable.) c. Determine the break-even point. (Type an ordered pair. Do not use commas in large numbers.)
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