Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Explain solution RD Sharma class 12 Chapter 29 Linear Programming exercise 29.4 question 35

Explain solution RD Sharma class 12 Chapter 29 Linear Programming exercise 29.4 question 35

Answers (1)

Answer: 48 units of product A and 16 units of product. Maximum profit = Rs.1440.

Hint:

Let x be the number of units A and y be the number of units of B

Given:

The given data can be written in the tabular form

 

 

Product

A

B

Working week

Turn over

Time

0.5

1

40

 

Price

200

300

 

10000

Profit

20

30

 

 

Permanent order

14

16

 

 

 

Solution:

The mathematical model of the LPP as follows.

Max Z = 20x + 30y

Subject to:

       \begin{aligned} &0.5 x+y \leq 40 \\ &200 x+300 y \geq 10000 \\ &x \geq 14, y \geq 16 \end{aligned}

Subject to constraint:

      \begin{aligned} &4 x+3 y \geq 60 \\ & \end{aligned}                                                … (i)

      x \geq 3 \\                                                                … (ii)

      y \geq 2 x \\                                                             … (iii)

      x, y \geq 0

The feasible region determined by the subject of constraints.

No of large box=6, small box=12

Maximum profit=Rs.42

The coordinates of the vertices (corner points) of shaded region ABCD are A(26,16),B(48,16),C(14,33) and D(14,24)                                        

Points

Z=20x+30y

A(26,16)

Z=1000

B(48,16)

Z=1440

C(14,33)

Z=1270

D(14,24)

Z=60

 

48 units of Product A and 16 units of Product B should be produced to earn the maximum profit of Rs.1440.

 

Posted by

infoexpert27

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 12 result verification 2024 application out at cbse.gov.in; last date, fees
anam-khan

CBSE results 2024 later for 102 students over fake certificates; board issues show cause notice
anam-khan

What after CBSE Class 12 results 2024? From CUET UG to JEE Advanced, all you need to know

Latest Question