LA rectangle is to be placed in the rst quadrant, with one side on the x-axis and one side on the y-axis, so the rectangle lies below the line 2y+ 6x = 13. Determine the dimensions of the rectangle that will yield a maximum area. {4 l4 2. Determine two positive numbers whose product is 100 and whose sum is as small as possible. 3. The cost, in dollars, to produce it lamps for a certain factory is C(x) = 300 + 231+ 0.42:2, x 2 I00. What is {2 the marginal cost at 250 lamps