At Allied Electronics, production has begun on the X-15 Computer Chip. The total revenue function is given by $R ( x ) = 52 x - 0.3 x ^ { 2 }$ and the total cost function is given by C(x)=2 x+8 , where x represents the number of boxes of computer chips produced. The total profit function, P(x) , is such that P(x)=R(x)-C(x) . Find P(x) .
A) $P ( x ) = - 0.3 x ^ { 2 } + 48 x + 8$
B) $P ( x ) = 0.3 x ^ { 2 } + 48 x - 24$
C) $P ( x ) = - 0.3 x ^ { 2 } + 50 x - 8$
D) $P ( x ) = 0.3 x ^ { 2 } + 50 x - 16$

Question

At Allied Electronics, production has begun on the  X-15  Computer Chip. The total revenue function is given by $R ( x ) = 52 x - 0.3 x ^ { 2 }$ and the total cost function is given by  C(x)=2 x+8 , where  x  represents the number of boxes of computer chips produced. The total profit function,  P(x) , is such that  P(x)=R(x)-C(x) . Find  P(x) .
A) $P ( x ) = - 0.3 x ^ { 2 } + 48 x + 8$
B) $P ( x ) = 0.3 x ^ { 2 } + 48 x - 24$
C) $P ( x ) = - 0.3 x ^ { 2 } + 50 x - 8$
D) $P ( x ) = 0.3 x ^ { 2 } + 50 x - 16$

Quizplus · Accepted Answer

The profit function is calculated as $P(x) = R(x) - C(x) = (52x - 0.3x^2) - (2x + 8) = -0.3x^2 + 50x - 8$.

At Allied Electronics, Production Has Begun on the X-15 R(x)=52x−0.3x2R ( x ) = 52 x - 0.3 x ^ { 2 }R(x)=52x−0.3x2

At Allied Electronics, Production Has Begun on the X-15 $R ( x ) = 52 x - 0.3 x ^ { 2 }$