At Allied Electronics, production has begun on the X-15 Computer Chip. The total cost function is given by C(x)=2 x+13 and the total profit function is given by $P ( x ) = - 0.3 x ^ { 2 } + 50 x - 13$ 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) $R ( x ) = 54 x - 0.3 x ^ { 2 }$
B) $R ( x ) = 51 x - 0.6 x ^ { 2 }$
C) $R ( x ) = 52 x + 0.3 x ^ { 2 }$
D) $R ( x ) = 52 x - 0.3 x ^ { 2 }$

Question

At Allied Electronics, production has begun on the  X-15  Computer Chip. The total cost function is given by  C(x)=2 x+13  and the total profit function is given by $P ( x ) = - 0.3 x ^ { 2 } + 50 x - 13$ 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) $R ( x ) = 54 x - 0.3 x ^ { 2 }$
B) $R ( x ) = 51 x - 0.6 x ^ { 2 }$
C) $R ( x ) = 52 x + 0.3 x ^ { 2 }$
D) $R ( x ) = 52 x - 0.3 x ^ { 2 }$

Quizplus · Accepted Answer

The total revenue function is the sum of the total cost function and the total profit function. Therefore,$$R(x) = C(x) + P(x)$$$$R(x) = (2x + 13) + (-0.3x^2 + 50x - 13)$$$$R(x) = -0.3x^2 + 52x$$

At Allied Electronics, Production Has Begun on the X-15 P(x)=−0.3x2+50x−13P ( x ) = - 0.3 x ^ { 2 } + 50 x - 13P(x)=−0.3x2+50x−13

At Allied Electronics, Production Has Begun on the X-15 $P ( x ) = - 0.3 x ^ { 2 } + 50 x - 13$