
Algebra PreAlgebra and Basic Algebra Math Forum 
 LinkBack  Thread Tools  Display Modes 
August 9th, 2014, 08:36 PM  #1 
Newbie Joined: Aug 2014 From: Brsibane Posts: 2 Thanks: 0  Yr11 math C Assignment
Hey guys, I have a really hard question from my assignment; wondering if anyone could take a look and help me. Question: Simplex Algorithm A fruit drink company makes three types of punch. C punch contains 500ml of apple/pear juice, 300ml of pineapple juice and 200ml of orange juice per litre. P punch contains 300ml of apple and peer juice, 400ml of pineapple juice and 300ml of orange juice per litre. H punch contains 200ml of apple/pear juice, 200ml of pineapple juice and 600ml of orange juice per litre. the company makes profit \$0.90 per litre on C, \$1.20 per litre on P and \$1.50 per litre on H. At present the company has limited supplies: 5000L of pear and pineapple, 4000L of pineapple and 3000L of orange juice. Define and Determine: a. the decision variables b. the three constraint in equations based on limited supply of the tree different juices c. the profit function d. the complete simplex tableau to be used to determine maximum profit e. the amount of each type of punch to be produced to achieve maximum profit f. the amount of each type of juice to be produced to achieve maximum profit g. the maximum profit If anyone can help it would be great, Thanks Ben Last edited by skipjack; August 11th, 2014 at 03:02 PM. 
August 9th, 2014, 10:20 PM  #2  
Math Team Joined: Dec 2006 From: Lexington, MA Posts: 3,267 Thanks: 407  Hello, Ben Parker! I can get you started. Quote:
$\begin{array}{ccccc} & \text{apple} & \text{p'apple} & \text{orange} & \text{Profit} \\ \hline C(x) & 500 & 300 & 200 & \$0.90 \\ P(y) & 300 & 400 & 300 & \$1.20 \\ H(z) & 200 & 200 & 600 & \$1.50 \\ \hline \text{Total} & 5000L & 4000L & 3000L \\ \hline \end{array}$ Constraints:$\;\;\; \begin{Bmatrix} 500x + 300y + 200z & \le & 5,\!000,\!000 \\ 300x + 400y + 200z & \le & 4,\!000,\!000 \\ 200x + 300y + 600z & \le & 3,\!000,\!000 \end{Bmatrix}$ Profit: $\:P \;=\;0.90x + 1.20y + 1.50z$  
August 10th, 2014, 08:19 PM  #3 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,296 Thanks: 934 
2 solutions: 10,000 bottles of P punch 4000 bottles of C punch and 7000 bottles of P punch Both bring in $12,000 Nobody gets to drink H punch ! 

Tags 
assignemnt, assignment, math, yr11 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
A Level Math resources (Edexcel modular math textbooks)  Sid  Math Books  5  May 27th, 2014 12:20 PM 
Iphone math game? Speed math monkey  chuckycheese  Elementary Math  1  May 22nd, 2014 03:45 AM 
A Level Math resources (Edexcel Modular Math textbooks)  Sid  Academic Guidance  2  May 11th, 2014 07:23 AM 
A book on basic math that explains how math really works  mishaark  Math Books  6  September 8th, 2012 06:19 AM 
A book on basic math that explains how math really works  mishaark  Elementary Math  0  December 31st, 1969 04:00 PM 