Let , where is the quantity of insecticide, measured in hundreds of liters, and is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:
(1)
Please notice that regions where C(x) is increasing has , whereas when .
We notice that is increasing in two regions: (i) and (ii) . Besides, decreases in .
Paralalell means that is has the same slope y=mx+b m=slope y=-1x-2 slope=-1
the equation of a line that passes through the point (x1,y1) and has a slope of m is y-y1=m(x-x1) given (2,-2) and slope is -1 y-(-2)=-1(x-2) y+2=-x+2 minus 2 y=-x answer is y=-x
I believe the answer is C - 60 inches. 60 x 2 = 120, which is both lengths, and since he width is half the length, then 30 x 2 = 60. So 130 (length) + 60 (width) = 180. So 60 inches would be the maximum length for both sides.