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on the to 12. (Optimum Product Mix) att snament exogramme the Government has part ondscentivation storm of 92 hectors to grow kes of four venetes Royal Red, Golden Yellow.de conscabind SunStarot of the total de hectors are Series of tomato must be produced with a minimum of 1,000 boxes of any one variety o teamers engaged have decided that the area devoted to any stop should be in terms of complete hectors and not a fractions of a hector. The other limitation is that not more than 22,750 boxes of any one variety should be produced. The following data are relevant Qon Labour is available for all kinds of farm work and there is no constraint. The market requirement is that all Sunny Scarlet Golden Yellow Julcy Crimson Royal Red 70 180 100 Annual Yald 350 2 2 Boxes per hector Costs 196 312 Direct: 216 476 Material per hector Labour 371 528 896 608 Growing per hector Harvesting and 5.20 3.28 4.40 3.60 packing per box 4.00 9.60 5.20 5.20 Transport per box 18.38 22.27 15.38 15.87 Market price per box Fored overheads per annum Growing 11,200 nos Harvesting 37,400 Transport 37.200 General Administration 3 10.200 Find out: (i) within the given constraints, the area to be cultivated with each variety of tomatoes, if the largest total profit has to be achieved. (C) The amount of such profit in rupees. A nationalized bank has come forward to help in the improvement programme of the 28 hectors in which only Golden Yellow and Juicy Crimson will grew, with a loan of 5,000 at a very nominal interest of 6% per annum. When this improvement is carried out, there will be a saving of 1.25 per box in the harvesting cost of Golden Yellow and the 28 hectors will become suitable for growing Royal Red in addition to the existing Golden Yellow and Juicy Crimson varieties. Assuming that other constraints continue, find the maximum total profit that would be achieved when the improvement programme is carried out