Solve the problem.
-Bob owns a watch repair shop. He has found that the cost of operating his shop is given by $c ( x ) = 3 x ^ { 2 } - 204 x + 46$, where $c$ is cost and $x$ is the number of watches repaired. How many watches must he repair to have the lowest cost?
A) 46 watches
B) 34 watches
C) 30 watches
D) 23 watches

Question

Quizplus · Accepted Answer

The lowest cost occurs at the vertex of the parabola represented by the given quadratic equation. The x-coordinate of the vertex can be found using the formula $-\frac{b}{2a}$, where $a = 3$ and $b = -204$. Plugging these values in gives $-\frac{-204}{2*3} = 34$. Therefore, Bob must repair 34 watches to have the lowest cost.

Solve the Problem c(x)=3x2−204x+46c ( x ) = 3 x ^ { 2 } - 204 x + 46c(x)=3x2−204x+46

Solve the Problem $c ( x ) = 3 x ^ { 2 } - 204 x + 46$