SOLUTION: WORD PROBLEM - HELP PLEASE!!!! Your company directors figure the company needs to make at least 12 heat seaking and at least 20 radar guided missiles per month to meet quota. In

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Question 90953: WORD PROBLEM - HELP PLEASE!!!!
Your company directors figure the company needs to make at least 12 heat seaking and at least 20 radar guided missiles per month to meet quota. In addition, production limits the number of missiles to no more than 72 per month. you can sell the heat seaking missiles for $312,000 and sell the radar guided missiles for $512,000. how many of each should you sell to maximize profits per month. what is the maximum profit???? OH HELP!!!!
I need the following:
constraints
objective function
graph and SOLUTION
THANKS
LLo
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Your company directors figure the company needs to make at least 12 heat seaking and at least 20 radar guided missiles per month to meet quota.
In addition, production limits the number of missiles to no more than 72 per month.
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Let x be # of heat seeking and y the # of radar guides
Constraints:
12<=x<=72
20<=y<=72
x+y<=72
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you can sell the heat seaking missiles for $312,000 and sell the radar guided missiles for $512,000.
Objective Function: Income = 312000x + 512000y
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how many of each should you sell to maximize profits per month.
Graph the constraints.
Find the intersection point of each vertex of the solution area.
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what is the maximum profit????
Substitute the vertex coordinates into the Objecting function to determine
which x,y pair gives the maximum Income.
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I need the following:
constraints
objective function
graph and SOLUTION
------------------
Graph:
Draw horizontal lines at y=20 and y=72
Draw vertical lines at x=12 and x=72
Graph y<=-x+72

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Cheers,
Stan H.