<PRE><B>Question 112164</B>
the acme class ring co. designs and sells two types of rings: the VIP and the SST. they can produce up to 24 rings each day
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0&lt;=V&lt;=24
0&lt;=S&lt;=24
V+S &lt;= 24
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 using up to 60 total man-hours of labor. it takes 3 man-hrs to make one VIP ring and 2 man-hrs to make one SST ring.
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3V+2S &lt;= 60
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 how many of each type of ring should be made daily to maximize the co&#39;s profit, if the profit on a VIP ring is $20 and on an SST ring is $50?
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Profit = 20V+50S
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Rearrange Inequalities:
Both V and S are in the 1st quadrant.
V &lt;= 24-S 
V &lt;=(-2/3)S+20
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Graph the boundary lines:
Draw a vertical line at S=24
Draw a horizontal line at V=24
{{{graph(400,300,-10,40,-10,40,-x+24,(-2/3)x+20)}}}
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Find the coordinates of the vertices of the solution set
Substitute each coordinate pair of values into the Profit equation
to see which pair gives the maximum profit value.
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Cheers,
Stan H.

A)12 VIP and 12 SST
B) 0 VIP and 20 SST
C) 4 VIP and 20 SST
D) 0 VIP and 24 SST 
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