Question

4
A factory manufactures 350 jeans in a day. How many jeans will it manufacture in a
year? (1 year = 365 days)​

Answer 1

Answer:

Let x be the number of packages of screws A and y be the number of packages of screws B that we can make.

Clearly, x,y≥0.

Total time on machine is 4 hr=240 min

∴ for automatic machine , time = 4x+6y≤240⟹2x+3y≤120

∴ for hand machine, time = 6x+3y≤240⟹2x+y≤80

The shaded region is the feasible region.

The profits on Screw A is Rs. 0.7 and on Screw B is Rs. 1. We need to maximize the profits, i.e. maximize z=0.7x+y, given the above constraints.

Now, at A, z=28

at O, z=0

at E, z=41

at D, z=40

Hence, maximum profit is at point E(30,20).

Answer 2

Answer:

12750 jeans

Step-by-step explanation:

In one day , total jeans manufactured is 350

so

In 365 days ,total jeans i=350 ×365=12750 jeans