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Cake-A requires 200g of flour and 25g of fat Cake-B requires 100 g of flour and 50 g of fat. Find the maximum number of cakes which can be made from 5 kg of flour and 1 kg of fat. The mathematical form of this LPP is ……..

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One kind of cake requires 200g of flour and 25 g of fat, and another kind of cake requires 100 g of flour and 50 g of fat. Find the maximum number of cakes which can be made from 5 kg of flour and 1 kg of fat assuming that there is no shortage of theother ingredients used in making the cakes.

One kind of cake requires 200g of flour and 25g of fat, and another kind of cake requires 100g of flour and 50g of fat. Find the maximum number of cakes which can be made from 5kg of flour and 1 kg of fat assuming that there is no shortage of the other ingredients used in making the cakes.

One kind of cake requires 400g of flour and 50g of fat, and another kind of cake requires 200g of flour and 75g of fat. Find the number of cakes which can be made from 8kg of flour and 2 kg of fat. Write the mathematical formulation of this problem.

One kind of cake requires 300 gr of flour and 15 gr of fat and another kind of cake requires 150 gr. of flour and 30 gr of fat. Find the maximum number of cakes which can be made from 7.5 kg of flour and 600 gr. of fat assuming that there is no shortage of the other ingredients used in making the cake.

A man owns a field of area 1000 sq.m. He wants to plant fruit trees in it. He has a sum of Rs. 1400 to purchase young trees. He has the choice of two types of trees. Type A requires 10 sq.m. of ground per tree and costs Rs. 20 per tree and type B requires 20 sq.m. of ground per tree and costs Rs. 25 per tree. When fully grown type A produces an average of 20 kg. of fruit which can be sold at a profit of Rs. 2/ - per kg and type B produces an 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 the trees are fully grown ?

A satellite is to be placed in equatorial geostationary orbit around the earth for communication. (a) Calculate height of such a satellite. (b) Find out the minimum number of satellites that are needed to cover entire earth, so that atleast one satellite is visible from any point on the equator. [M = 6 xx 10^(24) kg, R = 6400 km, T = 24 h, G = 667 x 10-^(11) SI unit]

A copper block of mass 2.5 kg ts heated in a furnace to a temperature of 500 ^(@) C and then placed on a large ice block. What is the maximum amount of ice that can melt? (Specific heat of copper = 0.39 J g^(-1) K^(-1), " heat of fusion of water " = 335 J g^(-1)) .

A magnetic field of 100 G (1 G = 10^(-4) T) is required which is uniform in a region of linear dimension about 10 cm and area of cross-section about 10^(-3) m^2 . The maximum current-carrying capacity of a given coil of wire is 15 A and the number of turns per unit length that can be wound round a core is at most 1000 turns m^(-1) . Suggest some appropriate design particulars of a solenoid for the required purpose. Assume the core is not ferromagnetic.

At a depth of 1000m in an ocean (a) What is the absolute pressure? (b) what is the gauge pressure? (c ) find the force acting on the window of area 20cm times 20 cm of a submarine at this depth, the interior of which is maintained at sea level atmospheric pressure. the density of sea water is 1.03 times 10^3 kg m^-3 . g=10 ms^-2

KUMAR PRAKASHAN-LINEAR PROGRAMMING-MULTIPLE CHOICE QUESTIONS
  1. Objective function of a LPP is …………

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  2. The corner points of the feasible region are A(3, 3), B(20, 3), C(20, ...

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  3. Cake-A requires 200g of flour and 25g of fat Cake-B requires 100 g of ...

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  4. The shaded region in the given figure is a graph of ……………

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  5. The point at which the maximum value of Z = 3x + 2y subject to the con...

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  6. The solution of linear programming problem, maximize Z=3x(1)+5x(2) sub...

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  7. The maximum value of Z = x + 3y subject to the constraints 2x+y le 20,...

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  8. The solution set of the constraints x+2y ge 11, 3x+4y le 30, 2x+5y le ...

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  9. The feasible region of the inequality x+y le 1" and "x-y le 1 lies in ...

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  10. The following five inequalities form the feasible region. 2x-y le 8, x...

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  11. The position of the points O(0, 0) and P(2, -1) is ………, in the region ...

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  12. The constraints x+y le 4, 3x+3y ge 18, x ge 0, y ge 0 defines on ………

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  13. The solution set of the constraints x+2y le 2000, x+y le 1500, y le 60...

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  14. Out of the following points, how many points are satisfied the inequal...

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  15. How many points having integer co-ordinates are there in the feasible ...

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  16. z = 30x - 30y + 1800 is a objective function. The corner points of the...

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  17. The corner points of the bounded feasible region are (0, 1), (0, 7), (...

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  18. The constraints -x+y le 1, -x+3y le 9, x ge 0, y ge 0 defines on ………

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  19. The solution set of the constraints 2x+3y le 6, 5x+3y le 15" and "x ge...

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  20. The solution set of the constraints 2x+3y le 6, x+4y le 4" and "x ge 0...

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