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The minimum value of linear objective fu...

The minimum value of linear objective function z =2x + 2y under linear constraints ` 3x + 2y ge 12 , x + 3y ge 11 and x,y ge 0` is

A

10

B

12

C

6

D

5

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The correct Answer is:
A
Minimize z =2 x + 2y
Sudject to constraints
` 3x + 2y ge 12`
` x + 3y ge 11`
`x ,y ge 0`
The graph of linear in equation are

Minimum value of z = 2(2) + 2(3)
= 4 + 6 = 10 at (2,3)
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 01-Paper 2 (Mathematics)
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  2. Area bounded by the curves y = x ,y = tanx and x = pi/4 is

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  3. The solution of differential edquation (dy)/(dx) +1 = cosec (x+y) is

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  4. If area bounded by the curve y^(2)=4ax and y=mx is a^(2)//3 , then the...

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  5. int \ sin x \ d(cos x) is equal to

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  6. lim(x to oo) ((x^(2)+ 5x+3)/(x^(2)+x+3))^(x) is equal to

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  7. If f(x)={(sqrt(1+k x)-sqrt(1-k x))/x for 1 le x< 0 and 2x^2+3x-2 for...

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  8. Two cards drawn without replacement from a well shuffled pack of 52 ca...

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  9. The minimum value of linear objective function z =2x + 2y under linear...

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  10. The angle between the line x/2 = y/3 = z/4 and the plane 3 x + 2y -3z...

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  11. Which of the following is not a proposition ?

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  12. A line AB in three-dimensional space makes angles 45oa n d""120o with ...

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  13. The value of k such that (x-4)/1=(y-2)/1=(z-k)/2 lies in the plane 2x-...

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  14. if a = (2,1,-1) , b= (1,-1,0) , c = (5,-1,1) then unit vector parallel...

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  15. The function f(x) = 2x^(3) + 3x^(2) -12 x + 1 decreases in the interv...

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  16. A circle of radius sqrt8 is passing through origin the point (4,0) . ...

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  17. The length (in units) of tangent from point (5, 1) to the circle x^2+y...

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  18. The curve 5x^2 + 12xy - 22x - 12y -19 = 0 is.

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  19. The locus of the point of intersection of the tangents at the extre...

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  20. The length of the straight line x-3y=1 intercepted by the hyperbola x^...

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