Scientists conduct an experiment to estimate the red-tailed hawk population in a mid-west region. They place an identifying tag on 80 red-tailed hawks. Several months after their release, researchers investigate 5 samples of 35 red-tailed hawks in the region and record how many have a tag.

college

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204