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  • Explain solution RD Sharma class 12 Chapter 29 Linear Programming exercise 29.4 question 34

Explain solution RD Sharma class 12 Chapter 29 Linear Programming exercise 29.4 question 34

Answers (1)

Answer:

No. of box=6, small box=12

Maximum profit=Rs.42

Hint:

Let required quantity of large and small boxes are x and y respectively.

Given:

Profits on each unit of large and small boxes are Rs.3 and Rs.2 respectively.

Solution:

Let Z be total profit

Z=3x+2y  [Where x and y are the quantity of large and small boxes]

Since each large and small box require 4sq.m and 3sq.m cardboard, but only 60sq.m of cardboard is available

 4 x+3 y \leq 60

Since manufacture is required to make at least three large boxes.

So,

    x \geq 3

Since manufacture is required to make at least twice as many small boxes as large boxes.

So,

   y \geq 2

The required LPP is Max Z = 20x + 5y

 

Posted by

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