Question

Suppose your total benefit from eating slices of pizza (value in dollars) is 12x - x^2, where x is the number of slices of pizza. Pizza is sold by the slice and costs $2 per slice, and so the total cost of pizza is 2x. Using optimization in levels, what is the optimal amount of pizza for you to eat?

Answer 1

Answer:

The optimal amount of Pizza we will get  at x=10.

Step-by-step explanation:  

We have been given the  total benefit of the pizza is:$12x-x^2$

And the  total cost price of the pizza is 2x

So, the profit = revenue - cost price:

$P(x)=12x-x^2-2x$

On simplification we get:

$P(x)=10x-x^2$

The quadratic function  $\frac{-b}{a}$ gives value of x

The optimal amount of Pizza we will get  at x=10.