Question 1030359
The "got plywood" shirt costs $8 to make, and she sells them for $13. The "Got Gas" shirts cost $6 to make, and she sells them for $10. She decides to limit her costs to $1400. She estimates that demand for these T-shirts will not exceed 200 T-shirts. Find the number of each type of T-shirt she would make to yield maximum profit. 
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Note:: p >= 0 ; g >= 0 so the solution is in QI
Profit:: P = 5p + 4g
Cost:: 6g + 8p <= 1400 so graph g <= (-4/3)p + 233.33
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Demand: g + p <= 200 so graph g <= -p + 200
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{{{graph(400,400,-10,200,-10,250,(-4/3)x + 233.33,-x+200)}}}
Note:: These border lines intersect at (100,100),
Other (p,g) vertices are (0,200) and (175,0)
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Determine max profit using Profit = 5p + 4g
Using (100,100) you get Profit = 500 + 400 = 900
Using (0,200) you get Profit = 5*0 + 4*200 = 800
Using (175,0) you get Profit = 5*175 + 4*0 = 875
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Ans: Max Profit comes from p = 100 and g = 100
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Cheers,
Stan H.
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