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A man owns a fielfd of area 1000 m^(2). He wants to plant fruit trees in it. He has a sum of Rs. 1400 to purchase young thees. He has the choice of two types of trees. Type A requires 10m^(2) of ground per tree and costs Rs.20 per tree, and type B requires 20m^(2) of ground per tree and costs Rs. 25 per tree. When full grown, a type-A tree produces on average of 20 kg of fruit which can be sold at a profit of Rs.2 per kg and a type-B tree produces an average of 40 kg of fruit which can be sold at a profit of Rs72 per kg and a type-B three produces on average of 40 kg of fruit which can be sold at a profit of Rs 1.50 per kg. How many of each type should be planted to achieve maximum profit when trees are fully frown? What is the maximum profit ? |
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Answer» PROFIT FUNCTION is `Z=2xx20x+3/2xx40y,i.e., Z=40x+60y.` |
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