Question

Revision Exercise 1. A machine in a biscuit factory produces 1,458 packets in 6 hours. How many packets can it produce in 14 hours?​

Answer 1

Answer:

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Step-by-step explanation:

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:

the correct answer is 3402 packets

Step-by-step explanation:

given

  a machine in a biscuit factory produces 1458 packets in 6 hours

  if we find out number of produced packets in 1 hour we can easily find out for 16 hours

  the production in 1 hour =  $\frac{1458}{6} = 243$

  the machine produces 243 packets in 1 hour

  the number of packets produced in 16 = 243 × 16 =  3402 packets