Question 1118471
Summer runs a factory that makes DVD players. 
Each S100 takes 6 ounces of plastic and 2 ounces of metal. 
Each FS20 rReequires 3 ounces of plastic and 4 ounces of metal. 
The factory has 234 ounces of plastic, 264 ounces of metal available, with a maximum of 14 S100 that can be built each week. 
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If each S100 generates $13 in profit, and each FS20 generates $13, how many of each of the DVD players should Summer have the factory make each week to make the most profit?
s <= 14
Plastic:: 6s +3f <=234
Metal:::: 2s +4f <= 264
Profit function:: P = 13f + 13s
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Rearrange::
f <= -2s + 78
f <= (-1/2)s + 132
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Graph in the first quadrant with horizontal axis s and vertical axis f
{{{graph(400,400,-5,15,-5,135,-2x+78,(-1/2)x+132)}}}
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Find the corner coordinates:: (s,f)
Note:: Your Inequalities do not define an enclosed area.
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Cheers,
Stan H.
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S100: 
FS20: 

Best profit: