A. Determine two positive numbers whose sum is 100 and sum of whose squares is minimum.
B. Determine two numbers whose sum is -24 and whose product is amaximum.
C. Among all rectangles which have the perimeter of 20ft, compute dimensions of one with largest area.
D. The open box with the square base is to have volume of 12ft^3.
i) Determine function which models surface area of box.
ii) Determine box dimensions which minimize amount of material used.
E. The rancher wishes to build the rectangular pen with area of100 m^2.
i) Determine the function which models length of fencing required.
ii) Compute pen dimensions which need minimum amount offencing.