Question 1104765
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x = hourly wage for the woodworker
Revenue = R(x) = 660
Cost = C(x) = 30*x
Profit = P(x) = R(x) - C(x) = 660-30x


We want the profit P(x) to be 150 or larger, so {{{P(x) >= 150}}}
{{{P(x) >= 150}}}


{{{660-30x >= 150}}}


{{{660-30x+30x >= 150+30x}}} Add 30x to both sides


{{{660 >= 150+30x}}}


{{{660-150 >= 150+30x-150}}} Subtract 150 from both sides


{{{510 >= 30x}}}


{{{30x <= 510}}}


{{{30x/30 <= 510/30}}} Divide both sides by 30


{{{x <= 17}}}


The highest wage for the woodworker is 17 dollars per hour
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