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A manufacturing company makes two types of teaching aids A and B of Mathematics for class XII. Each type of A requires 9 labour hours of fabricating and 1 labour hour for finishing. Each type of B requires 12 labour hours for fabricating and 3 labour hours for finishing. For fabricating and finishing, the maximum labour hours available per week are 180 and 30 respectively. The company makes a profit of ₹ 80 on each piece of type A and ₹ 120 on each piece of type B. How many pieces of type A and type B should be manufactured per week to get a maximum profit ? Make it as LPP and solve graphically. What is the maximum profit per week ?

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A manufacturing company makes two types of teaching aids A and B of Maths for class XII. Each type of A requires 9 labour hours for fabricating and 1 labour hour for fininshing. Each type of B requires 12 labour hours for fabricating and 3 labour hours for fininshing. For fabricating and finishing , the maximum labour hours available are 180 and 30 respectively. The company makes a profit of Rs 80 and each type of A and Rs 120 on each type of B. How many pieces of type A and type B should be manufactured per week to realise a maximum profit? What is the maximium profit per week?

A manufacturing company makes two models A and B of a product. Each pice of model a requires 9 labour hours for fabricating and 1 labour hour for finishing. Each piece of model of B requires 12 labour hours for fabricating and 3 hour for finishing. For fabricating and finishing, the maximum labour hours avaibale are 180 and 30 respectively. the company makes a profit of Rs.8000 on each piece of model A and Rs.12000 on each piece of model B. How many pieces of model A and model B should be manufactured per week to realise a maximum profit? what is the maximum profit per week?

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JMD PUBLICATION-Liner Programming-EXAMPLE
  1. Fill in the blanks : (iii) The region represented by x ge 0, y ge 0 is...

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  2. The point which does not lie in half plane 2x— 3y — 6 le 0 is

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  3. The point which lies in half plane 3x - yge 3 is :

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  4. The quadrant represents x ge 0, y le 0 is :

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  5. The point which does not lie in half plane of x ge 2yis :

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  6. The point which lies in half plane of x — 3y le 3 is :

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  7. State True/False: The region represent by x le 0, y le 0 is thye third...

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  8. State True/False: The point (1,2) satisfies 2x + y ge 5

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  9. State True/False: The origin satisfies 3x - y ge 1.

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  10. Solve the following LLp graphically : Maximise Z = 4x + y subject to c...

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  11. Maximize Z = -x + 2y, subject to the constraints : x ge 3, x + y ge5, ...

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  12. A farmer has a supply of chemical fertilizer of type A which contains ...

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  13. A factory owner purchases two types of machines, A and B fo his factor...

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  14. An aeroplane can carry maximum of 200 passengers, A profit of ₹ 400 is...

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  15. Every gram of wheat provides 0.1 g of protien and 0.25 g of carbohydra...

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  16. A furniture firm manufactures chairs and tables, each requiring the us...

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  17. A small firm manufactures gold rings and chains. The total number of r...

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  18. A diet is to contain at least 80 units of vitamin A and 100 units of m...

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  19. A manufacturer produces two products A and B. Both the products are pr...

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  20. A manufacturing company makes two types of teaching aids A and B of Ma...

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