Algebra

Linear Programming

Medium

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 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:

A, B, C, D only

B, C, E only

A, B, C, E only

B, C, D, E only

✅ Correct Option: 3

Constraints: $x + y \leq 300$ , $2x + 3y \leq 720$ , $x, y \geq 0$ .

Intersection of $x+y=300$ and $2x+3y=720$ : $y = 300-x$ , so $2x + 3(300-x) = 720 \Rightarrow x = 180, y = 120$ , giving $E(180,120)$ .

Other corners: $B(0,0)$ , $C(300,0)$ (on x-axis), $A(0,240)$ (where $2x+3y=720$ meets y-axis).

So A, B, C, E.

Question 41

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

Question 42

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:

Question 44

A feasible solution is :

Question 45

The maximum profit per week is :

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:

Solution

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Keyboard Shortcuts

CUET Mathematics Past Year Questions (Topic-Wise)

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: