Mathematics & Statistics (Arts & Science) Part 1 Standard 12>Chapter 7 - Linear Programming>Miscellaneous Exercise>Q 5

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The maximum value of $z = 10 x + 6 y$ subjected to the constraints $3 x + y \leq 12, 2 x + 5 y \leq 34$ , $x \geq 0, y \geq 0$ ______.

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Important Questions on Linear Programming

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IMPORTANT

Mathematics & Statistics (Arts & Science) Part 1 Standard 12>Chapter 7 - Linear Programming>Miscellaneous Exercise>Q 6

The point at which the maximum value of

x + y

subject to the constraints

x + 2 y \leq 70

,

2 x + y \leq 95, x \geq 0, y \geq 0

is obtained at _____.

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IMPORTANT

Mathematics & Statistics (Arts & Science) Part 1 Standard 12>Chapter 7 - Linear Programming>Miscellaneous Exercise>Q 7

Of all the points of the feasible region, the optimal value of

z

obtained at the point lies ______.

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IMPORTANT

Mathematics & Statistics (Arts & Science) Part 1 Standard 12>Chapter 7 - Linear Programming>Miscellaneous Exercise>Q 8

Feasible region is the set of points which satisfy _____.

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Mathematics & Statistics (Arts & Science) Part 1 Standard 12>Chapter 7 - Linear Programming>Miscellaneous Exercise>Q 9

Solution of L.P.P. to minimize

z = 2 x + 3 y

subject to

x \geq 0, y \geq 0, 1 \leq x + 2 y \leq 10

is

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Mathematics & Statistics (Arts & Science) Part 1 Standard 12>Chapter 7 - Linear Programming>Miscellaneous Exercise>Q 10

The corner points of the feasible solution given by the inequation

x + y \leq 4, 2 x + y \leq 7

,

x \geq 0, y \geq 0

are _____.

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IMPORTANT

Mathematics & Statistics (Arts & Science) Part 1 Standard 12>Chapter 7 - Linear Programming>Miscellaneous Exercise>Q 11

The corner points of the feasible solution are

(0, 0), (2, 0), (\frac{12}{7}, \frac{2}{7}), (0, 1)

. Then

Z = 7 x + y

is maximum at ______.

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12th Maharashtra Board

IMPORTANT

Mathematics & Statistics (Arts & Science) Part 1 Standard 12>Chapter 7 - Linear Programming>Miscellaneous Exercise>Q 12

If the corner points of the feasible solution are

(0, 0), (3, 0), (2, 1)

and

(0, \frac{2}{3})

the maximum value of

z = 4 x + 5 y

is _______.

EASY

12th Maharashtra Board

IMPORTANT

Mathematics & Statistics (Arts & Science) Part 1 Standard 12>Chapter 7 - Linear Programming>Miscellaneous Exercise>Q 13

If the corner points of the feasible solution are

(0, 10), (2, 2), (3, 4)

and

(4, 0)

then the point of minimum

z = 3 x + 2 y

is _______.