27. A farmer wants to fence an area of 1.5 million square feet in a rectangular field and then divide it in half with a fence parallel to one of the sides of the rectangle. How can he do this so as to minimize the cost of the fence? (the fence is all the black lines) the whole area of the farm: 1.5 mill. sq.ft FARM 28. By cutting away identical squares from each corner of a rectangular piece of cardboard that is 15cm long and 8 cm wide, and folding up the resulting flaps, an open box is made. Find the dimensions of the box that will yield the maximum volume. 8 15 29. A population of beetles is introduced into a field. The number of beetles in the population is modelled as B(!) = 100 21- + 12 1- +2 after { months. If the experiment is run for 3 months, what is the absolute maximum number of beetles in the field?25. Find the indicated limits. a) lim In r b) lim 3 0+ o) lim d) lim re-a e) lim Vr' + Ar 2 120 4r+1 26. The top and bottom margins of a poster are 6 cm each and the side margins are 4 cm each. If the area of printed material on the poster is fixed at 384 em', find the dimensions of the poster with the smallest area. 3 the whole poster: 4cm printed material of the com poster 384 em+2 6cm