HSC Commerce (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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Of all the points of the feasible region the optimal value of z is obtained at a point

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Feasible region; the set of points which satify.

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Solution of LPP to minimize z = 2x + 3y st. x ≥ 0, y ≥ 0, 1≤ x + 2y ≤ 10 is

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The corner points of the feasible region given by the inequations x + y ≤ 4, 2x + y ≤ 7, x ≥ 0, y ≥ 0, are

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The corner points of the feasible region are (0, 0), (2, 0), `(12/7, 3/7)` and (0,1) then the point of maximum z = 7x + y

If the corner points of the feasible region are (0, 0), (3, 0), (2, 1) and `(0, 7/3)` the maximum value of z = 4x + 5y is ______.

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The half plane represented by 3x + 2y ≤ 0 constraints the point.

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The half plane represented by 4x + 3y ≥ 14 contains the point

The optimal value of the objective function is attained at the ______ points of the feasible region.

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“A gorage employs eight men to work in its shownroom and repair shop. The constraints that there must be at least 3 men in showroom and at least 2 men in repair shop are ______ and _______ respectively.

A train carries at least twice as many first class passengers (y) as second class passengers (x). The constraint is given by ______.

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A dish washing machine holds up to 40 pieces of large crockery (x) This constraint is given by_______.

State whether the following is True or False :

Saina wants to invest at most ₹ 24000 in bonds and fixed deposits. Mathematically this constraints is written as x + y ≤ 24000 where x is investment in bond and y is in fixed deposits.

State whether the following is True or False :

The point (1, 2) is not a vertex of the feasible region bounded by 2x + 3y ≤ 6, 5x + 3y ≤ 15, x ≥ 0, y ≥ 0.

State whether the following is True or False :

The feasible solution of LPP belongs to only quadrant I.

The Cost of Living Index Number using Weighted Relative Method is given by ______

The Assignment Problem is solved by ______.

To use the Hungarian method, a profit maximization assignment problem requires ______.

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Using Hungarian method the optimal assignment obtained for the following assignment problem to minimize the total cost is:

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For solving an assignment problem the matrix should be a _______ matrix.