r = regular (y axis)
e = extra rich (x axis)
p = profit = 8 e + 10 r
oil limit line (24 max)
oil = 2 r + 1 e, when e = 0, r limit is 12
when r = 0, e = 24
so oil line is
r = 12 - .5 e
butter limit line (18 max)
butter = 1 r + 2 e, when e = 0, r limit is 18
when r = 0, e limit is 9
so butter line is
r = 18 - 2 e
where is intersection of oil limit and butter limit lines?
4 r = 48 - 2 e
1 r = 18 = 2 e
3 r = 30
e = 4 so at (4,10)
calculate profit = 8 e + 10 r at each point
32 + 100 = 132 at (4,10) wins
Thank you Damon, your answer for this problem, and the other one was very thorough and easy to understand.
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