Question

Bob owns a watch repair shop. He has foundthat the cost of operating his shop is given byc=2x2-192x+54, where c is cost and x is thenumber of watches repaired. How manywatches must he repair to have the lowestcost?

Answer 1

The solution for the quadratic equation, c(x) = $2x^{2} -192x+54$ is +48.

Bob must repair 48 watches to have the lowest cost.

What is axis of symmetry?

The axis of symmetry formula uses the standard form of the quadratic equation as well as the vertex form.

We have, c(x) = $2x^{2} -192x+54$

As we know the axis of symmetry, using the formula:

x = $\frac{-b}{2a}$

In the above equation a = 2; b = -192

x = $\frac{-(-192)}{2 * 2}$

x= $\frac{192}{4}$

x = +48

Hence, the number of watches for lowest cost bob must sold is 48 watches.

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