SOLUTION: I need help solving this problem. Find the solutions that satisfy the following constraints: 4A + 2B <16 (this is greater than) 4A + 2B >16 (this is less than) 4A + 2B =16

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Question 177199This question is from textbook Quantitative Methods for Business
: I need help solving this problem.
Find the solutions that satisfy the following constraints:
4A + 2B <16 (this is greater than)
4A + 2B >16 (this is less than)
4A + 2B =16
I need step by step instruction on how to solve the problem.
This question is from textbook Quantitative Methods for Business

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find the solutions that satisfy the following constraints:
a. 4A + 2B <16 (this is less than)
b. 4A + 2B >16 (this is greater than)
c. 4A + 2B =16
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Graph the equality first;
B = -2A + 8
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The graph of 4A + 2B < 16 is the half-plane BELOW the line.
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The graph of $A + 2B > 16 is the half-plane ABOVE the line.
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Cheers,
Stan H.

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