At Allied Electronics, production has begun on the X-15 Computer Chip. The total revenue function is given by $R ( x ) = 48 x - 0.3 x ^ { 2 }$ and the total profit function is given by $P ( x ) = - 0.3 x ^ { 2 } + 42 x - 10$ 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)=7x+15 B) C(x)=6x+10 C) C(x)=8x+6 D) C(x)=-0.3x²+12x+10

Question

Quizplus · Accepted Answer

The total 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 $C(x) = (48x - 0.3x^2) - (-0.3x^2 + 42x - 10)$, which simplifies to $C(x) = 6x + 10$.

At Allied Electronics, Production Has Begun on the X-15 R(x)=48x−0.3x2R ( x ) = 48 x - 0.3 x ^ { 2 }R(x)=48x−0.3x2

At Allied Electronics, Production Has Begun on the X-15 $R ( x ) = 48 x - 0.3 x ^ { 2 }$