(a) A farmer has 1,000 acres of land on which he can grow corn, wheat or soya beans. Each acre of corn costs K100 for preparation, requires 7 man-days of work and yields a profit of K30.An acre of wheat costs K 120 to prepare, requires 10 man-days of work and yields a profit of K40. An acre of soya beans costs K70 to prepare requires 8 man-days of work 8,000 man-days work. Formulate the L.P. model to allocate the number acres to each crop to maximize the total profit. (b) The ABC Company wishes to plan its advertising strategy. There are two media under consideration, call them magazines I and II respectively. Magazine I has a reach of 2,000 potential customers and magazine II has a reach of 3,000 potential customers. The cost per page of advertising K 400 and K600 in magazines I and II respectively. The firm has a monthly budget of K6,000. There is an important requirement that the total reach for the income group under K20, 000 per annum should not exceed 4,000 potential customers. The reach in magazines I and II for this income group is 400 and 200 potential customers. Formulate the linear programming model for the