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"The maximum or the minimum of the objec...

"The maximum or the minimum of the objective function occurs only at the corner points of the feasible region". This theorem is know as fundamental theorem of

A

Agebra

B

Arithmetic

C

Calculus

D

Extreme points

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The correct Answer is:
D
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Define a corner point of a feasible region.

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Maximum value of the objective function Z = ax +by in a LPP always occurs at only one corner point of the feasible region.

Which of the following statements is false? A) The feasible region is always a concave region B) The maximum (or minimum) solution of the objective function occurs at the vertex of the feasible region C) If two corner points produce the same maximum (or minimum) value of the objective function, then every point on the line segment joining these points will also give the same maximum (or minimum) two. values D) All of the above

The corner points of the feasible region, shown as shaded in the graph below, are :

In a LPP, the maximum value of the objective function Z = ax +by is always 0, if origin is one of the corner point of the feasible region.

Consider the following statements I. If the feasible region of an LPP is undbounded then maximum or minimum value of the obJective function Z = ax + by may or may not exist . II. Maximum value of the objective function Z = ax + by in an LPP always occurs at only one corner point of the feasible region. Ill. In an LPP, the minimum value of the objective function Z = ax + by is always 0, if origin is one of the corner point of the feasible region. IV. In an LPP, the maximum value of the objective function Z = ax + by is always finite. Which of the following statements are true?

The, objective function is maximum or minimum at a point, which lies on the boundary of the feasible region.

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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 21-PAPER 2 (MATHEMATICS)
  1. The centre of a circle passing through the points (0, 0), (1, 0) and t...

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  2. If |a|=|b|,then (a+b)*(a-b) is

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  3. "The maximum or the minimum of the objective function occurs only at t...

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  4. The possiblility that a non-leap year has 53 sundays, is

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  5. The number of common tangents to the circles x^(2)+y^(2)-y=0and x^(2)+...

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  6. The speed v of a particle moving along a straight line is given by a+b...

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  7. The area bounded by the curve |x|+|y|=1 and axis of x, is given by

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  8. The integrating factor of the differential equation (dy)/(dx)(x(log...

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  9. The sum of n terms of two arithmetic progressions are in the ratio 2n+...

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  10. Dual of (x vv y) ^^ (x vv 1) = x vv x ^^ y vv y is

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  11. The sum o f series 1+4/5+7/(5^2)+(10)/(5^3)+oo is 7//16 b. 5//16 c. ...

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  12. The value of int(-pi//4)^(pi//4) x^(3) sin^(4) x dx is equal to

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  13. If x=asintheta and y =b cos theta, then (d^(2)y)/(dx^(2)) is

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  14. If x=asintheta and y =b cos theta, then (d^(2)y)/(dx^(2)) is

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  15. The plane x-2y+z-6=0 and the line x/1=y/2=z/3 are related as the line ...

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  16. The direction consines of the line segment joining points (-3,1,2)and ...

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  17. The focal distance of a point on the parabola y^2=12 xi s4. Find the a...

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  18. The equation of a line passing through (2,-3) and inclined at an angle...

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  19. Which of the following is a contradiction ?

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  20. Inverse of the matrix [{:(cos 2 theta, -sin 2 theta),(sin 2 theta, cos...

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