Amachine called feynman, produces output, that is 5 times its input followed by an increase of 2. another machine called maxwell, produces output, that is 5 times its input followed by a decrease of 2. the output of feynman feeds into maxwell. if maxwell produces an output of 33, the input to feynman must be:
(a). 1
(b). 31/5
(c). 41/25
(d). 21/25

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Option: a is the correct answer.

                (a)  1

Step-by-step explanation:Let the input of Feynman be denoted by  i and it's output be denoted by f.

              Now, it is given that:

Feynman, produces output, that is 5 times its input followed by an increase of 2.

i.e. the equation that will be formed using this information is:

                  .

Also, it is given that:

The output of Feynman feeds into Maxwell.

Let the output of Maxwell be denoted by m and it's input is f.

Maxwell, produces output, that is 5 times its input followed by a decrease of 2.

This means that the equation that will be formed using this information is:

             .

Now, we put the value of f from equation (1) into equation (2)

i.e.

.

If the output of Maxwell is: 33

i.e.

.

Then

.

Hence, the input of Feynman is: 1

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