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November 14th, 2007, 01:32 PM   #1
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Linear Programming.

Solve this linear programming mixture problem: A small stereo manufacturer makes a receiver and a CD player. Each receiver takes 8 hours to assemble, 1 hour to test and ship, and earns a profit of $30. Each CD player takes 15 hours to assemble, 2 hours to test and ship, and earns a profit of $50. There are 160 hours available in the assembly department and 26 hours available in the testing and shipping department. What should the production schedule be to maximize profit? What is the maximum profit?

I've got:

x being the stereos
y being the CD players

theres 160 hours for assembly so
8x+15y<160

theres 26 hours for shipping
x+2y<26

Then
x>0 and y>0 as givens


How do I graph all of that showing the feasible region?
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November 14th, 2007, 06:15 PM   #2
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Re: Linear Programming.

Quick note: all of your < and > should be <= and >=.

Quote:
Originally Posted by Evol
How do I graph all of that showing the feasible region?
These are just ordinary inequalities. Graph the lines as though they were ordinary equations (like you probably learned in 9th grade) and then shade in the appropriate side. You'll get a pentagonal region in the first quadrent, if I'm not mistaken.
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