Question 89601
Your company needs to make both long and short range missiles. Production cannot make more than 50 missiles and no more than 30 long range. Your company spends $60,000 to make a short range missile and $90,000 to make a long range missile and has no more than 3.6 million to spend. Find the max profit the company can make if they receive $400,000 for each short range and $850,000 for each long range. How many long range missiles can they make?
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Let # of long range missiles be x: Let # of short range missiles be y.
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Need the following:
Constraints
0<=y<=30
x+y<=50
Expense: 90000x+60000y<=3.6 million
objective function:
Profit = (850,000-90000)x + (400,000-60,000y)
Profit = 760,000x + 340,000y
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graph and solution 
Graph the following:
y=0 (the x-axis) and y=30
y=-x+50
Find the vertex points of the resulting inclosed trapezoid.
Test those vertex-point values in the objective function
to see which combination of x and y gives you the maximum
profit.
{{{graph(400,300,-5,100,-5,100,30,-x+50)}}} 
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Cheers,
Stan H.