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HUSignon As a part of its rural upliftment programme, the Government has put under cultivation a farm of 96 hectors to tomatoes of four varieties: Royal Red, Golden Yellow, Juicy Crimson and Sunny Scarlet of the total 68 hector suitable for all four varieties, but the remaining 28 hectors are suitable for growing only Golden Yellow and Crimson. Labour is available for all kinds of farm work and there is no constraint. The market requirement is th four varieties of tomato must be produced with a minimum of 1,000 boxes of any one variety. The formers engaged have decided that the area devoted to any crop should be in terms of complete he and not in fractions of a hector. The other limitation is that not more than 22,750 boxes of any one variety sh be produced. The following data are relevant. Royal Red Golden Yellow Juicy Crimson Sunny Scarlet Annual Yield 350 70 180 100 Boxes per hector Cosis Direct: 476 216 196 312 Material per hector Labour: 896 608 371 528 Growing per hector Harvesting and 3.60 3.28 4.40 5.20 packing per box 5.20 .5.20 4.00 9.60 Transport per box 15.38 15.87 18.38 22.27 Market price per box Fixed overheads per annum 11,200 7,400 Growing Harvesting Transport General Administration 7,200 10,200 Find out: (i) within the given constraints, the area to be cultivated with each variety of tomatoes, if the large profit has to be achieved. The amount of such profit in rupees. A nationalized bank has come forward to help in the improvement programme of the 28 hectors in wh Golden Yellow and Juicy Crimson will grew, with a loan of 5,000 at a very nominal interest of 6% per When this improvement is carried out, there will be a saving of 1.25 per box in the harvesting cost of Yellow and the 28 hectors will become suitable for growing Royal Red in addition to the existing Golde and Juicy Crimson varieties. Assuming that other constraints continue, find the maximum total profit that achieved when the improvement programme is carried out. 180 70 100 312 196 216 528 371 608 5.20 4.40 3.28 9.60 4.00 5.20 22.27 18.38 15.87 ultivated with each variety of tomatoes, if the largest total provement programme of the 28 hectors in which only of 35,000 at a very nominal interest of 6% per annum. ving of 1.25 per box in the harvesting cost of Golden ving Royal Red in addition to the existing Golden Yellow ints continue, find the maximum total profit that would be farmers engaged have decided that the area devoted to any crop should be in terms of complete hectors not in fractions of a hector. The other limitation is that not more than 22,750 boxes of any one variety should produced. The following data are relevant