Question 1088181
A-number of AC units
F-number of fans units
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Wiring:
{{{3A+1F<=240}}}
Drilling:
{{{2A+F<=140}}}
Profit:
{{{P=25A+15F}}}
Minimum AC units:
{{{A>=20}}}
Maximum fans:
{{{0<=F<=80}}}
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For the graphs A will be x and F will be y.
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*[illustration dfv14.JPG].
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(20,0)
(70,0)
(20,80)
(30,80)
These four vertices define the feasible region.
Check the value of the profit function at these four points to find the maximum value.
I'll do one, you do the rest.
(20,0):
{{{P=25(20)+15(0)=500}}}
Now do the same for the other vertices to find the most profitable split.