[Discrete Maths] Predicate Logic,Rosen Ex1.5,problem,9.e

Question

Q: Consider the following premises:- 1.1. What is good for corporations is good for the United States. 2.2. What is good for the United States is good for you. 3.3. What is good for the corporations is for you to buy lots of stuff. What are the valid conclusions?

Answer 1

P : Good for corporations.
Q : Good for the United States.
R : Good for you.
S : You buying lots of stuffs.

What is good for corporations is good for the United States.        P $\rightarrow$ Q.
What is good for the United States is good for you.               Q $\rightarrow$ R.
What is good for the corporations is for you to buy lots of stuff.        S $\rightarrow$ P.

1. P $\rightarrow$ Q
2. Q $\rightarrow$ R.
From 1 and 2 by using Hypothetical syllogism. We get 3.
3. P $\rightarrow$  R. which is "Good for corporations is good for you.

4. S $\rightarrow$ P
From 4 and 1 again by using Hypothetical syllogism. We get 5.
5. S $\rightarrow$ Q  . which is "Buying lots of good stuffs is good for United states."

Now from 5 and 2 by again using Hypothetical syllogism. We get 6.
6. S $\rightarrow$ R . which is "Buying lots of good stuffs is good for you".

Conclusion : "Buying lots of good stuffs is good for United states and for you".

Comments

This is the statement: 
 

Good for corporation is you to buy lots of stuffs.
Now think.
You buying lots of stuffs then what?
It is good for corporation.
So buying lots of stuffs implies good for corporation.

 

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@Hemant your answer is correct. You gave example of prime minister above that is also correct.By meaning it is what you are saying but if i go with discrete maths terminology,i am still not getting the last part,how buying stuff is good for corp.

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Read it multiples times and do lots of practice to convert English statement into prepositional logic. Watch Mathematical logic portion from IIT madras course on discrete math. This tutorials really help me a lot.

One another example. 

Think of a situation you go to reliance store and you buy everything present there  Laptops, LCD, Phones everything. Isn't this good for them?