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Provide Solution for RD Sharma Class 12 Chapter 29 Linear Programming Exercise 29.4 Question 15
Answers (1)
Answer:
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
S.P. of a paperback edition of the textbook
Cost to the publisher for a paperback edition
weakly cost to the publisher
Profit to bae maximized,
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 |
|
|
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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