Algebra

Linear Programming

Easy

A manufacturing company makes two types of television sets: one is black and white and the other is colour. The company has resources to make at most 300 sets a week. It takes Rs. 1800 to make a black and white set and Rs. 2700 to make a coloured set. The company can spend not more than Rs. 6,48,000 a week to make television sets. It makes a profit of Rs. 510 per black and white set and Rs. 675 per coloured set. Assuming x and y respectively are the number of black and white, and coloured sets made each week, answer the questions :

The constraints to the LPP are:

A. $3x + 2y \leq 720$

B. $2x + 3y \leq 720$

C. $x + y \leq 300$

D. $x \geq 0$ and $y \geq 0$

E. $x + y \geq 300$

Choose the correct answer from the options given below:

A, B, C only

B, C, D only

C, D, E only

A, D, E only

✅ Correct Option: 2

Resource constraint: $x + y \leq 300$ (C).

Money constraint: $1800x + 2700y \leq 648000$ , dividing by 900: $2x + 3y \leq 720$ (B).

Non-negativity: $x \geq 0,\ y \geq 0$ (D).

So B, C, D only.

Question 41

The objective function (z) to maximize the profit is:

Question 43

The corner points of feasible region are:

A. (0, 240)

B. (0, 0)

C. (300, 0)

D. (120, 180)

E. (180, 120)

Choose the correct answer from the options given below:

Question 44

A feasible solution is :

Question 45

The maximum profit per week is :

The constraints to the LPP are: A. 3x+2y≤7203x + 2y \leq 7203x+2y≤720 B. 2x+3y≤7202x + 3y \leq 7202x+3y≤720 C. x+y≤300x + y \leq 300x+y≤300 D. x≥0x \geq 0x≥0 and y≥0y \geq 0y≥0 E. x+y≥300x + y \geq 300x+y≥300 Choose the correct answer from the options given below:

Solution

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Keyboard Shortcuts

CUET Mathematics Past Year Questions (Topic-Wise)

The constraints to the LPP are:

A. $3x + 2y \leq 720$

B. $2x + 3y \leq 720$

C. $x + y \leq 300$

D. $x \geq 0$ and $y \geq 0$

E. $x + y \geq 300$

Choose the correct answer from the options given below: