Wikipedia
linear programming models : Some industries that use linear programming models include transportation, energy, telecommunications, and manufacturing. It has proved useful in modeling ..... More from Wikipedia
Linear Programming
The mathematical models which tells to optimise (minimize or maximise) the objective function Z subject to certain condition on the variables is called a Linear programming problem (LPP)...
Mathematical Formulation of Linear Programming Problems
There are mainly four steps in the mathematical formulation of linear programming problem as a mathematical model. We will discuss formulation of those problems which involve only two variables. 1. Identify the decision variables and assign symbols x and y ..
Linear Programming. I do a complete example! For more free math videos, visit JustMathTutoring.com
We discuss changes to our model. We calculate the Range of Optimality and the Shadow Price. We then interpret the Excel Solver Sensitivity Report.
Question : The Midlands Field Produce Company contracts with potato farmers in Colorado, Minnesota, North Dakota, and Wisconsin for monthly potato shipments. Midlands picks up the potatoes at the farms and ships mostly by truck (and sometimes by rail) to its sorting and distribution centers in Ohio, Missouri, and Iowa. At these centers the potatoes are cleaned, rejects are discarded, and the potatoes are sorted according to size and quantity. They are then shipped to combination plants and distribution cen..
Answer : Sarah, this somewhat complicated problem is called 2-phases Transportation Problem /producers - distribution centers & distribution centers - recipients/. You have to take into account the 2 given exceptions - they make impossible the transportation in the directions Node 1 - Node 5 and Node 5 - Node 11, so assign zero quantities x = x = 0 /and transportation costs 0 instead of 1 there - the objective function without these 2 terms/ and non-negative quantities in all other directions as additional constraints. Everything other in the formulation is OK. The solution I got is the following: x = 1600, x = 400, x = 700, x = 1400, x = 600, x = 900 /a quantity of 400 remains undistributed since the total capacity of the distribution centers is 5600 and the production is 6000/ x = 900, x = 100 /a quantity 800 remains in Node 5/, x = 1200, x = 1000, x = 1500 /a quantity 100 remains in Node 7/.... More from Yahoo Answers
Answer : Sarah, this somewhat complicated problem is called 2-phases Transportation Problem /producers - distribution centers & distribution centers - recipients/. You have to take into account the 2 given exceptions - they make impossible the transportation in the directions Node 1 - Node 5 and Node 5 - Node 11, so assign zero quantities x = x = 0 /and transportation costs 0 instead of 1 there - the objective function without these 2 terms/ and non-negative quantities in all other directions as additional constraints. Everything other in the formulation is OK. The solution I got is the following: x = 1600, x = 400, x = 700, x = 1400, x = 600, x = 900 /a quantity of 400 remains undistributed since the total capacity of the distribution centers is 5600 and the production is 6000/ x = 900, x = 100 /a quantity 800 remains in Node 5/, x = 1200, x = 1000, x = 1500 /a quantity 100 remains in Node 7/.... More from Yahoo Answers
Question : I have a production maximization question involving 5 pieces of equipment. 2 pieces of machinery operate at a certain speed while 3 other machines operate at a different speed. I have three components to produce and need to know how to write a linear equation to solve this.
Answer : Try this in matrix format if the linear program doesn't come to mind first. Ax = B Let A be your equipment function, x represent the machinery speeds, and B represent your output... More from Yahoo Answers
Answer : Try this in matrix format if the linear program doesn't come to mind first. Ax = B Let A be your equipment function, x represent the machinery speeds, and B represent your output... More from Yahoo Answers
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