# A company manufactures two types of novelty souvenirs made of plywood. Souvenirs of type A require 5 minutes each for cutting and10 minutes each for assembling. Souvenirs of type B require 8 minutes each for cutting and 8 minutes each for assembling. There are 3 hours 20 minutes available for cutting and 4 hours for assembling. The profit for type A souvenirs is Rs 100 each and for type B souvenirs, profit is Rs 120 each. How many souvenirs of each type should the company manufacture in order to maximise the profit ? Formulate the problem as a LPP and then solve it graphically.

Let the number of souvenirs of type A and type B be x and y respectively
To maximize : $Z= Rs\left ( 100x+120y \right )$
subject to constants$x\geq 0,y\geq 0$
$5x+8y\leq 200$
$10x+8y\leq 240$
corner points                                   value of Z (in Rs)
A(0,25)                                               3000
B(8,20)                                               3200 $\leftarrow \: Maximum$
C(24,0)                                               2400
Hence the maximum profit of Rs 3200 is obtained when 8 souvenirs of type A and 20 souvenirs of type B is manufactured.

### Preparation Products

##### Knockout NEET Sept 2020

An exhaustive E-learning program for the complete preparation of NEET..

₹ 15999/- ₹ 6999/-
##### Rank Booster NEET 2020

This course will help student to be better prepared and study in the right direction for NEET..

₹ 9999/- ₹ 4999/-
##### Knockout JEE Main Sept 2020

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 12999/- ₹ 6999/-
##### Test Series NEET Sept 2020

Take chapter-wise, subject-wise and Complete syllabus mock tests and get in depth analysis of your test..

₹ 4999/- ₹ 2999/-