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  • Provide Solution for RD Sharma Class 12 Chapter 29 Linear Programming Exercise 29.4 Question 15

Provide Solution for RD Sharma Class 12 Chapter 29 Linear Programming Exercise 29.4 Question 15

Answers (1)

Answer:

Max \: Profit \Rightarrow Rs. 3360  which is obtained by selling 360 copies of hardcover edition and 600 copies paperback edition.

Hint:

Form Linear Equation and solve graphically.

Given:

A publisher sells a hard cover edition of a text 600K for Rs.72.00 and a paperback edition of the same text for Rs.240.00. Costs of the publisher are Rs.56.00 and Rs.28.00 per book respectively in addition to weekly costs of Rs.9600.00. Both types require 5 minutes of printing time, although hard cover requires 10 minutes binding time and the paperback requires only 2 minutes. Bothe the printing back and binding operations have 4800 min available each week.

Solution:

Let the sale of hard cover edition be h and that of paperback editions be t

S.P. of a hard cover edition of the textbook  = Rs. 72.
S.P. of a paperback edition of the textbook = Rs. 40.
Cost to the publisher for a paperback edition = Rs.28
weakly cost to the publisher  =Rs.9600.
Profit to bae maximized, z=(72-56)h+(40-28)t-9600

The corner points are 0(0,0),B(0,960), ?(360,600),F(480,0).

The value of z at these corner points are as follows.

Corner Points

 z

O

-9600

B

1920

?

3360

F

-1920

The maximum value of z is 3360 which is attained at ? (360,600)

Thus, maximum profit is 3360 which is obtained by selling 360 copies of hardware edition and 600 copies paperback edition.

 

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