SOLUTION: This is a word problem - HELP oh please HELP Your company needs to make both long and short range missiles. Production cannot make more than 50 missiles and no more than 30 lon

Question 89601: This is a word problem - HELP oh please HELP
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 how 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?
Need the following:
Constraints
objetive function
graph and solution
Oh help please - this is so very hard to understand - thank you thank you

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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?
---------
Let # of long range missiles be x: Let # of short range missiles be y.
----------
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
-----------------------------
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.

==============
Cheers,
Stan H.

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