Answer to Quiz 1 ( 25 pts )


1.Define the decision variables (6pts, 2pts each):

A: # of units of product A
B: # of units of product B
C: # of units of product C

2. Modeling (19pts):

Section 1

MAX 30A + 15B + 12C; (4pts)
S.T. 
	5A + 5C <= 350		(milling machine, 2pts)	
	9A + 3B <= 150		(lathe, 2pts)
	3A + 4B + C <= 400	(grinder, 2pts)
	 A <= 30			(1pts)
	 B <= 70			(1pts)
          C <= 150			(1pts)
	 A >= 8				(1pts)
	 B >= 8				(1pts)
	 C >= 8 			(1pts)
	A - 2B <= 0		(B >= A/2, 3pts)


Section 2 

 

MAX  30A + 15B + 12C;  (4pts)


S.T.


	9A + 4B + 5C <= 400	(milling machine, 2pts)	
	5A + 3B <= 150		(lathe, 2pts)
	3A + 3C <= 350		(grinder, 2pts)
	 A <= 70			(1pts)
	 B <= 30			(1pts)
          C <= 150			(1pts)
	 A >= 10			(1pts)
	 B >= 10			(1pts)
	 C >= 10			(1pts)
	A - 2C <= 0		(B >= A/2, 3pts)

Section 3

MAX 30A + 15B + 12C; (4pts)
S.T. 
	3A + 3B + 3C <= 150	(milling machine, 2pts)	
	9A + 2C <= 300		(lathe, 2pts)
	5A + 4B  <= 400		(grinder, 2pts)
	 A <= 30			(1pts)
	 B <= 150			(1pts)
          C <= 70			(1pts)
	 A >= 10			(1pts)
	 B >= 10			(1pts)
	 C >= 10			(1pts)
	 2B - C >= 0		(B >= C/2, 3pts)

Any questions, send email to Lihua at: lizhu@blue.weeg.uiowa.edu