Question 183018
Let {{{a}}}= number of men who worked on cabinet A
Let {{{b}}}= number of men who worked on cabinet B
Given:
{{{a + b = 21}}}
It takes 6 person-days to make 100 of A
So, it takes 6 persons 1 day to make 100 of A
{{{100*(a/6) <= 150}}}
{{{a/6 <= 1.5}}}
{{{a <= 9}}}
The profit is 1800 /100 of A
{{{P[a] = 1800*(a/6)}}}
{{{P[a] = 300a}}} 
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It takes 9 person-days to make 100 of B
So, it takes 9 persons 1 day to make 100 of B
{{{100*(b/9) <= 200}}}
{{{b/9 <= 2}}}
{{{b <= 18}}}
The profit is 2400 / 100 of B
{{{P[b] = 2400*(b/9)}}}
{{{P[b] = 266.67b}}} 
I may be wrong with this- it's all I could 
come up with