The cost, in dollars, of producing x golf balls is given by $C ( x ) = 0.44 x + 74,000.$ The average cost per golf ball is given by $\bar { C } ( x ) = \frac { C ( x ) } { x } = \frac { 0.44 x + 74,000 } { x }.$ Find the average cost of producing 100,000 golf balls.
A)$1.63
B)$1.23
C)$1.18
D)$1.28
E)$0.88

Question

Quizplus · Accepted Answer

To find the average cost of producing 100,000 golf balls, substitute $x = 100,000$ into the average cost formula: $\bar { C } ( x ) = \frac { 0.44 x + 74,000 } { x }$. This gives $\bar { C } ( 100,000 ) = \frac { 0.44 \times 100,000 + 74,000 } { 100,000 } = \frac { 44,000 + 74,000 } { 100,000 } = \frac { 118,000 } { 100,000 } = 1.18$.

The Cost, in Dollars, of Producing X Golf Balls Is C(x)=0.44x+74,000.C ( x ) = 0.44 x + 74,000.C(x)=0.44x+74,000.

The Cost, in Dollars, of Producing X Golf Balls Is $C ( x ) = 0.44 x + 74,000.$