🏫 Board➗ Maths

Linear Programming

7 Board Maths previous year questions on Linear Programming — free to practice, unlock the correct answer & explanation with Premium.

Q1

A factory produces two products X and Y . The profit earned by selling X and \(Y\) is represented by the objective function \(Z=5 x+7 y\), where \(x\) and \(y\) are the number of units of X and Y respectively sold. Which of the following statement is correct?

a

The objective function maximizes the difference of the profit earned from products X and Y.

b

The objective function measures the total production of products X and Y

c

The objective function maximizes the combined profit earned from selling X and Y.

d

The objective function ensures the company produces more of product X than product Y .

🔒
Answer & explanation — Premium

Unlock this and thousands more solved PYQs.

Unlock · ₹149
Q2

A linear programming problem deals with the optimization of a/an :

a

logarithmic function

b

linear function

c

quadratic function

d

exponential function

🔒
Answer & explanation — Premium

Unlock this and thousands more solved PYQs.

Unlock · ₹149
Q3

The number of corner points of the feasible region determined by constraints \(\mathrm{x} \geq 0, \mathrm{y} \geq 0, \mathrm{x}+\mathrm{y} \geq 4\) is :

a

0

b

1

c

2

d

3

🔒
Answer & explanation — Premium

Unlock this and thousands more solved PYQs.

Unlock · ₹149
Q4

A linear programming problem deals with the optimization of a/an :

a

logarithmic function

b

linear function

c

quadratic function

d

exponential function

🔒
Answer & explanation — Premium

Unlock this and thousands more solved PYQs.

Unlock · ₹149
Q5

The common region determined by all the constraints of a linear programming problem is called :

a

an unbounded region

b

an optimal region

c

a bounded region

d

a feasible region

🔒
Answer & explanation — Premium

Unlock this and thousands more solved PYQs.

Unlock · ₹149
Q6

A factory produces two products \(X\) and \(Y\) . The profit earned by selling \(X\) and \(Y\) is represented by the objective function \(Z=5 x+7 y\), where \(x\) and \(y\) are the number of units of \(X\) and \(Y\) respectively sold. Which of the following statement is correct?

a

The objective function maximizes the difference of the profit earned from products \(X\) and \(Y\).

b

The objective function measures the total production of products \(X\) and \(Y\)

c

The objective function maximizes the combined profit earned from selling \(X\) and \(Y\).

d

The objective function ensures the company produces more of product \(X\) than product \(Y\) .

🔒
Answer & explanation — Premium

Unlock this and thousands more solved PYQs.

Unlock · ₹149
Q7

The common region determined by all the constraints of a linear programming problem is called :

a

an unbounded region

b

an optimal region

c

a bounded region

d

a feasible region

🔒
Answer & explanation — Premium

Unlock this and thousands more solved PYQs.

Unlock · ₹149

Practice more Board Maths PYQs

Browse every Maths chapter, or explore the full Board question bank.

➗ All Maths chapters →