At Allied Electronics, production has begun on the X-15 Computer Chip. The total revenue function is given by $R ( x ) = 59 x - 0.3 x ^ { 2 }$ and the total profit function is given by $P ( x ) = - 0.3 x ^ { 2 } + 57 x - 8$ where x represents the number of boxes of computer chips produced. The total cost function, C(x) , is such that C(x)=R(x)-P(x) . Find C(x) .
A) C(x)=4x+4
B) C(x)=2x+8
C) $C ( x ) = - 0.3 x ^ { 2 } + 4 x + 8$
D) C(x)=3x+13

Question

At Allied Electronics, production has begun on the  X-15  Computer Chip. The total revenue function is given by $R ( x ) = 59 x - 0.3 x ^ { 2 }$ and the total profit function is given by $P ( x ) = - 0.3 x ^ { 2 } + 57 x - 8$ where  x  represents the number of boxes of computer chips produced. The total cost function,  C(x) , is such that  C(x)=R(x)-P(x) . Find  C(x) .
A)  C(x)=4x+4 
B)  C(x)=2x+8 
C) $C ( x ) = - 0.3 x ^ { 2 } + 4 x + 8$
D)  C(x)=3x+13

Quizplus · Accepted Answer

The cost function $C(x)$ is found by subtracting the profit function $P(x)$ from the revenue function $R(x)$. Simplifying $C(x) = R(x) - P(x)$ gives $C(x) = (59x - 0.3x^2) - (-0.3x^2 + 57x - 8)$, which simplifies to $C(x) = 2x + 8$.

At Allied Electronics, Production Has Begun on the X-15 R(x)=59x−0.3x2R ( x ) = 59 x - 0.3 x ^ { 2 }R(x)=59x−0.3x2

At Allied Electronics, Production Has Begun on the X-15 $R ( x ) = 59 x - 0.3 x ^ { 2 }$