Question

A company manufacture two types of Toys A and Toys B. Each of type A requires 2 minutes for cutting and 1 minute for assembling. Each toy of type B require 3 minutes for cutting and 4 minutes for assembling, there are 3 hours available for cutting and 2 hours 40 minutes available for assembling. On selling of toy A he gets a profit of Rs.10 and that on selling a toy of type B he gets a profit of Rs.20, formulate this problem as LPP to maximize the profit.

Answer 1

Answer:

Step-by-step explanation:

Toy A  Toy B  Time in a day

Cutting time 5 min 8 min 180 min

Assembling time 10 min 8 min 240 min

Profit 50 60  

Assumed quantity x y  

Profit function z=50x+60y

5x+8y=180

A B

x         0 36

y 22.5    0

x≥0,y≥0

5x+8y≤180

10x+8y≤240 or 5x+4y≤120

5x+4y=120

C      D

x  0 24

y      30 0

Corner point z=50x+60y

At O(0,0)                 0

At D(24,0) 1200

At E(12,15) 1500

At A(0,22.5) 1350

Hence the maximum profit is Rs.1500 at E(12,15).