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June 12th, 2018, 08:03 AM  #1 
Newbie Joined: Jun 2018 From: Chicago Posts: 2 Thanks: 0  Math Problem help!!
How would you solve this problem? The TMA manufacturing Company manufactures color television picture tubes in two separate locations, Kankakee and Morris. The Output at Kankakee is at most 6000 tubes/month whereas the output at Morris is 5000 tubes/month. TMA is the main supplier of picture tubes for Pulsar Corporation. In Certain month Pulsar placed orders for 3000 picture tubes for its Orland park location and 4000 tubes for its Homer Glen location. it cost \$3 to ship from Kankakee to Orland Park and \$4 to ship from Kankakee to Homer Glen. From the Morris Location it costs \$2 to ship to Homer Glen and \$5 to ship to Orland Park. Determine how the orders should be filled to keep shipping costs at a minimum. 1.The variables an all inequalities 2.The objective Function 3.The Feasible set 4.The possible soulution 5.The final solution Last edited by greg1313; June 12th, 2018 at 01:08 PM. 
June 12th, 2018, 08:26 AM  #2 
Newbie Joined: Jun 2018 From: Chicago Posts: 2 Thanks: 0 
or Steinewelt Piano manufactures uprights and consoles in two plants, Plant I and Plant II. The output at Plant I is at most 300 per month and at Plant II is at most 250 per month. Orders are received for 200 pianos at the main showroom and 150 pianos at the branch location. if it costs \$60 to ship form Plant I to the main showroom and \$75 to ship form Plant I to the branch location and \$80 to ship from Plant II to the main showroom and \$90 from Plant II to the branch location, how should the orders be filled at the least costs? Last edited by greg1313; June 12th, 2018 at 01:09 PM. 
June 12th, 2018, 10:22 AM  #3 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,597 Thanks: 1038  
July 30th, 2018, 01:18 PM  #4  
Senior Member Joined: Jun 2015 From: England Posts: 915 Thanks: 271  Quote:
When you have a bit more experience of linear programming, you will be able to write the objective function straight down, creating and naming the variables in the process. But since you appear to have made no progress at all, let's start with the variables. Are these costs or what do you think they might be ?  

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