Solve the problem.
-Steve invests in a circus production. The cost includes an overhead of $117,000, plus production costs of $6000 per performance. A sold-out performance brings in $15,000. Let x represent the number of sold-out performances and write the cost function, C and revenue function, R.
A) $C ( x ) = 6000 x$
$R ( x ) = 117,000 + 15,000 x$
B) $C ( x ) = 117,000 + 15,000 x$
$R ( x ) = 6000 x$
C) $C ( x ) = 117,000 x + 6000$
$R ( x ) = 15,000 x$
D) $\mathrm { C } ( \mathrm { x } ) = 117,000 + 6000 \mathrm { x }$
$R ( x ) = 15,000 x$ nction, C and revenue function, R.

Question

Quizplus · Accepted Answer

The cost function $C(x) = 117,000 + 6000x$ correctly represents the total cost as the sum of the fixed overhead ($117,000) and the variable cost per performance ($6000) times the number of performances (x). The revenue function $R(x) = 15,000x$ correctly represents the total revenue as the amount earned per sold-out performance ($15,000) times the number of performances (x).

Solve the Problem C(x)=6000xC ( x ) = 6000 xC(x)=6000x R(x)=117,000+15,000xR ( x ) = 117,000 + 15,000 xR(x)=117,000+15,000x

Solve the Problem $C ( x ) = 6000 x$ $R ( x ) = 117,000 + 15,000 x$