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A manufacturer produces two types of soa...

A manufacturer produces two types of soaps using two machines A and B . A is operated for 2 minutes and B for 3 minutes to manufacture first type , while it takes 3 minutes on machine A and 5 minutes on machine B to manufature second type . Each machine can be operated at the most for 8 hours per day . The two types of soap are sold at a profit of Rs 0.25 and Rs 0.05 each respectively . Assuming that the manufactured can sell all the soaps he can manufacture , how many soaps of each type should be manufature per day so as to maximize his profit .

A

50 soaps of type I , 20 soaps of types II

B

96 soaps of type II

C

45 soaps of type I

D

55 soaps of type I

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B
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TARGET PUBLICATION-LINEAR PROGRAMMING-Critical Thinking
  1. The region represented by 2x+3y-5ge0 and 4x-3y+2ge0 is

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  2. The contraints -x+yle1,-x+3yle9,xge0,yge0 of LLP correspond to

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  3. The position of points O (0,0) and P (2,-2) in the region of graph of ...

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  4. The vertex of common graph of inequalities 2x+yge2 and x-yle3 , is

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  5. The constraints of an LPP are x+yle6,3x+2yge6,xge0 and yge0 Determine ...

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  6. The constraints of an LPP a 5lexle10,5leyle10 Determine the vertices o...

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  7. Which of the following is not a vertex of the feasible region bounded ...

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  8. Maximum value of p=6x+8y subject to 2x+y le 30, x + 2y le 24, x ge ...

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  9. Maximum value of 12x+ 3y subjected to the constraints xge0,yge0,x+yle5...

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  10. Maximise Z=5x+3y Subject to 3x+5yle15, 5x+2yle10,xge0,yge0.

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  11. For the function z = 4x+ 9y to be maximum under the constraints x+5yl...

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  12. The corner points of the feasible region determined by the system of l...

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  13. A manufacturer produces two types of soaps using two machines A and B ...

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  14. The minimum value of z = 4x+5y subject to the constraints xge30,yge40 ...

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  15. The minimum value of z = 3x + y subject to constraints 2x+3yle6, x+yg...

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  16. The minimum value of z = 6x + 7y subject to 5x+8yle40,3x+yle6,xge0,yg...

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  17. Which of the following statements is correct ?

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  18. The solution for minimizing the function z = x+ y under a LPP with con...

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  19. For the constraint of a linear optimizing function z=x(1)+x(2) , " giv...

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  20. The maximum value of F = 4x + 3y subject to constraints xge0,yge2,2x+...

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