27. A tank with rectangular base and rectangular sides, open at the top is to be constructed so that its depth is 2 m and volume is 8 . If the building o f the tank costs ₹ 270 per sq. m for the base and ₹ 45 per sq. m for the sides, what is the cost of least expensive tank?
28. A factory makes tennis rackets and cricket bats. A tennis racket takes 1.5 hours of machine time and 3 hours of craftman’s time in its making while a cricket ball takes 3 hours of machine time and 1 hour of craftman’s time. In a day, the factory has the ability of not more than 42 hours of machine time and 24 hours of craftman’s time. If the profit of a racket and on a bat is ₹ 20 and ₹ 10 respectively, find the number of tennis rackets and cricket balls that the factory must manufacture to earn the maximum profit. Form it an L.P.P and solve graphically.
29. A firm manufactures two products, X and Y , each requiring the use of three machines M1, M2 and M3 . The time required ........
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