SOLUTION: PLS SHOW THE GRAPHICAL SOLUTION 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 using up to 60 total

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Question 112164: PLS SHOW THE GRAPHICAL SOLUTION
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 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. how many of each type of ring should be made daily to maximize the co's profit, if the profit on a VIP ring is $20 and on an SST ring is $50?
A)12 VIP and 12 SST
B) 0 VIP and 20 SST
C) 4 VIP and 20 SST
D) 0 VIP and 24 SST

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
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<=V<=24
0<=S<=24
V+S <= 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 <= 60
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how many of each type of ring should be made daily to maximize the co'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 <= 24-S
V <=(-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

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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