Question

A company's weekly profit can be modeled by the equation y=-0.5x^2+50x-300 where y is the profit (in dollars) and x is the number of items sold. What is their maximum weekly profit ?

Answer 1

Answer:

Step-by-step explanation:

The number of items sold that gives the max profit is found in the vertex of this quadratic, (h, k). Lucky for us we have a formula for k that will give us exactly what we are looking for, and nothing else.

$k=c-\frac{b^2}{4a}$ where a = -.5, b = 50, and c = -300:

$k=-300-\frac{50^2}{4(-.5)}=-300+1250=950$

The max profit is $950 per week