exam Maths Puzzle Numerical Ability

i need a step by step example of a linear programming problem! please send me one. ex)

3x-y<7
2x-y>3
y>x-3

f(x,y)=x-4y

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exam Other Question

I am at a loss as to how to solve this. I keep getting 3x as the answer but it is wrong.

3x(x1/2(<--exponent)+1)2 <---squared
Find the value for the correlation coefficient r

x 5, 1, 4, 2, 3
-------------------------
y 5, 10, 12, 4, 8


Can anyone help?