The hogan family plans to build a rectangular horse corral on their farm with length, l and width, w. The area needs to be at least 1,900ft and have a width, w , of 20ft. What are the possible lenghths, l, of the hogans' horse corral in feet?

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