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Name: Please Solve RD Sharma Class 12 Chapter 29 Linear Programming Exercise 29.4 Question 7 Maths Textbook Solution.
Uploaded: Mon, 2021-09-06 21:07
Description: Please Solve RD Sharma Class 12 Chapter 29 Linear Programming Exercise 29.4 Question 7 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 29 Linear Programming Exercise 29.4 Question 7 Maths Textbook Solution.

Answers (1)

Answer:

15 tea cups of type A and 30 tea cups of type B.

Hint:

Let required number of tea cups of type A and B are x and y.

Given:

Profit on each tea cups of type A and B are 75 paisa and 50 paisa.

Solution:

Let the total profit of on tea cups be z.

$z=75x+50y$

Where x and y are the required number of tea cups.

Since each tea cup of type A and B require the work machine 1 for 12 and 6 min but total time available on machine I is 6×60 = 360min

$12x+6y\leq 360$

$\Rightarrow 2x+6y\leq 60$

Since each tea cup of type A and B require to work machine II for 6 and 0 min but total time available for machine II is 6×60=360min.

$18x+y\leq 360$

$x\leq 20$

Since each tea cup of type A and B require the work machine III for 6 and 9 min. but total time available for machine III is 6×60=360min.

$6x+9y\leq 360$