An Eastern Highlands farmer farms 960 hectares of land on which he grows squash, kale, lettuce and beans. Of the total, 680 hectares are suitable for all four vegetables, but the remaining 280 hectares are suitable only for kale and lettuce. Labour for all kinds of farm work is plentiful. The market requires that all four types of vegetables must be produced with a minimum of 10 000 boxes of any one line. The farmer has decided that the area devoted to any crop should be in terms of complete hectares and not in fractions of hectares. The only other limitation is that not more than 227 500 boxes of any one crop should be produced. Data concerning roduction market prices and costs are as follows: _ Squash Kale Lettuce Beans Annual yield (boxes per hectare) 350 100 70 180 Cost Direct: Materials per hectare 476 216 192 312 Labour: Growing, per hectare 896 608 372 528 Harvesting and packaging, per box 3.60 3.28 4.40 5.20 Transport, per box 5.20 5.20 4.00 9.60 Market price, per box 15.38 15.87 18.38 22.27 Fixed overheads per annum: ????????????????????????????122000????????????????????????????????????????74000????????????????????????????????????74000????????????????????????????????????????????????????????????????????????????????????100000????????????????????????????????????????????????74000????????????????????????????????????????????????????????????????????????????ℎ????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????.????ℎ????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????ℎ????????????????ℎ????????????????????????????????????????????????????????????????????????????????????????????????ℎ????????????????????????????????????????????????????????????????????????????????????????????ℎ????????????????????????????????????????????:????????????????????????????????????????????????ℎ????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????ℎ???????????????????? ???????????????????????? per box First lot of 10 hectares 19 000 total +1.2 -1.2 Next lot of 10 hectares 17 500 total +1.3 -1.3 Next lot of 10 hectares 15 000 total +1.4 -1.4 Remaining land (per hectare) 1 850 +1.5 -1.5 The farmer is willing to undertake such investment only if he can obtain a return of 15% DCF for a four year period. You are required to: (a) Advise the farmer, within the given constraints, i) the area to be cultivated with each crop if he is to achieve the largest total profit. [8 Marks] ii) the amount of this total profit. [5 Marks] iii) the number of hectares it is worth draining and the use to which they would be put;[10 Marks] (b) Comment briefly on two of the financial dangers of going ahead with the draining work.