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There are two types of fertilisers A and...

There are two types of fertilisers A and B. A consists of 12% nitrogen and 5% phosphoric acid whereas B consists of 4% nitrogen and 5% phosphoric acid. After testing the soil conditions, farmer finds that he needs at least 12 kg of nitrogen and 12 kg of phosphoric acid for his crops. If A costs Rs. 10 per kg and B cost Rs. 8 per kg, then graphically determine how much of each type of fertiliser should be used so that nutrient requirement are met at a minimum cost.

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There are two types of fertilizers F_(1) and F_(2).F_(1) consists of 10% nitrogen and 6% phosphoric acid and F_(2) contains 5% nitrogen and 10% phosphoric acid. After testing the soil condition a farmer finds that he needs at least 14 kg of nitrogen and 14 kg of phosphoric acid forhis crop. If F_(1) costs Rs. 6 per kg and F_(2) costs Rs. 5 perkg, determine how muchofeach of fertilizers beused so that nutrient requirements are met at a minimum cost. What is the minimum cost?

A gardener has supply of fertilizer A which consists of 10% nitrogen and 6% phosphoric acid and fertilizer B which consists of 5% nitrogen and 10% phosphoric acid. After testing the soil conditions, he finds that he needs at least 14 kg of nitrogen and 14 kg of phosphoric acid for his crop. If fertilizer A costs 10.60 per kg and fertilizer B costs 8.40 per kg, what is the minimum cost at which the farmer can meet the nutrient requirement by using a combination of both types of fertilizers?

A farmer has a supply of chemical fertilizer of type. A which 10% nitrogen and 6% phosphoric acid and of type B which contains 5% nitrogen and 10% phosphoric acid. After soil test, it is found that at least 7kg of nitrogen and same quantity fo phosphoric acid is required for a good crop. The fertilizer of type A costs 5.00 per kg and the type B costs 8.00 per kg. Using Linear programming, find how many kilograms of each type of the fertilizer should be bought to meet the requirement and for the cost to be minimum. Find hte feasible region in the graph.

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A fruit grower canuse two types of fertilizer in his garden brand P and brand Q . The amounts (in kg) of nitrogen phosphoric acid, potash, and chlorine a bag of each brand are given in the stable. Tests indicate that the garden needs at least 240kg of phosphoric acid, at least 270 kg of potash and at most 310 kg of chlorine. If the grower wants to minimise the amount of nitrogen added to the garden, how many bags of each brand should be used? What is the minimum amount of nitrogen added in the garden?

A tea-shop owner mixes two kinds of tea, type A and type B, in the ratio 3:5 . If type A costs Rs 200 per kg and type B costs Rs 160 per kg, find the price at which the blend must be sold to make a profit of 8% .

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. In a game, a man wins Rs. 5 for getting a number greater than 4 and ...

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  2. An urn contains 4 balls. Two balls are drawn at random from the urn...

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  3. There are two types of fertilisers A and B. A consists of 12% nitro...

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  4. Solve the equation of x:sin^(-1)x+sin^(-1)(1-x)=cos^(-1)x

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  5. Five bad oranges are accidently mixed with 20 good ones. If four or...

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  6. Use elementary column operation C2->C2+2C1 in the following matrix equ...

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  7. Write the number of all possible matrices of order 2xx2 with each ent...

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  8. If x in N and |[x+3,-2],[-3x,2x]|=8, then find the value of x

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  9. Find the vector equation of the plane with intercepts 3,-4 and 2 on x ...

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  10. Find the coordinates of the point where the line through the points A(...

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  11. Find the position vector of a point which divides the join of points w...

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  12. Write the number of vectors of unit length perpendicular to both the ...

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  13. The two adjacent sides of a parallelogram are 2 hat i-4 hat j-5 hat k ...

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  14. Show that the binary operation * on A=R-{-1} defined as a*b=a+b+a b fo...

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  15. Using integration find the area of the region "{"(x , y")":x^2+y^2lt=2...

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  16. An urn contains 3 white and 6 red balls. Four balls are drawn one by o...

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  17. Find the coordinate of the point P where the line through A(3,-4,-5) a...

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  18. Let f: N -> S be a function defined as f(x)=9x^2+6x-5. Show that f:N -...

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

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  20. If x=asin2t(1+cos2t) and y=bcos2t(1-cos2t), find the values of (dy)/(d...

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