At Allied Electronics, production has begun on the X-15 Computer Chip. The total cost function is given by C(x)=3 x+10 and the total profit function is given by $P ( x ) = - 0.3 x ^ { 2 } + 44 x - 10$ where x represents the number of boxes of computer chips produced. The total revenue function, R(x) , is such that R(x)=C(x)+P(x) . Find R(x) .
A) $R ( x ) = 49 x - 0.3 x ^ { 2 }$
B) $R ( x ) = 47 x - 0.3 x ^ { 2 }$
C) $R ( x ) = 46 x - 0.6 x ^ { 2 }$
D) $R ( x ) = 47 x + 0.3 x ^ { 2 }$

Question

At Allied Electronics, production has begun on the X-15 Computer Chip. The total cost function is given by  C(x)=3 x+10  and the total profit function is given by $P ( x ) = - 0.3 x ^ { 2 } + 44 x - 10$ where  x  represents the number of boxes of computer chips produced. The total revenue function,  R(x) , is such that  R(x)=C(x)+P(x) . Find  R(x) .
A) $R ( x ) = 49 x - 0.3 x ^ { 2 }$
B) $R ( x ) = 47 x - 0.3 x ^ { 2 }$
C) $R ( x ) = 46 x - 0.6 x ^ { 2 }$
D) $R ( x ) = 47 x + 0.3 x ^ { 2 }$

Quizplus · Accepted Answer

To find $R(x)$, we add the total cost function $C(x) = 3x + 10$ to the total profit function $P(x) = -0.3x^2 + 44x - 10$. Thus, $R(x) = (3x + 10) + (-0.3x^2 + 44x - 10) = -0.3x^2 + 47x$.

At Allied Electronics, Production Has Begun on the X-15 Computer P(x)=−0.3x2+44x−10P ( x ) = - 0.3 x ^ { 2 } + 44 x - 10P(x)=−0.3x2+44x−10

At Allied Electronics, Production Has Begun on the X-15 Computer $P ( x ) = - 0.3 x ^ { 2 } + 44 x - 10$