HW1_Solutions - ORIE 3300/5300 ASSIGNMENT 1 SOLUTION Fall...

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Unformatted text preview: ORIE 3300/5300 ASSIGNMENT 1 SOLUTION Fall 2008 Problem 2 After reading pages 1-11 from the AMPL book, you noticed that the wine problem is just a special case of the production model, so we only need to construct the corresponding data file. Lets start with the set of products. We have three products here, three types of wine (Little red, Big red and AD white). So the first line of the data file will be: set P := Lred Bred ADwhite; Now we have to specify, for each type of wine, three parameters: profit (2,3 and 4), maximum daily production (500, 400 and 200) and production rate (100, 90 and 70 bottles per hour). We can follow the original production data file to get param: a c u := Lred 100 2 500 Bred 90 3 400 ADwhite 70 4 200; The last parameter we have to define is the number of hours available for production: param b := 8; After saving the data file, we can run AMPL, read the model and data file, solve the problem and display the results: ampl: model prod.mod; data plonk.dat; solve; MINOS 5.5: optimal solution found. 3 iterations, objective 2139.68254 ampl: display X; X [*] := ADwhite 200 Bred 400 Lred 69.8413 So, the winery should produce 200 bottles of AD White, 400 bottles of Big Red and 69.84 bottles of Little Red wine, for a total daily profit of $2139.6. Now, for Friday, the problem is little bit different - there are only 6 hours available. We can change parameter b to 6 by typing ampl: let b:=6; and after solving the problem again we get the solution ampl: display X; X [*] := ADwhite 200 Bred 282.857 Lred 1 In this case, the winery only has time to produce 200 bottles of AD White and 287.85 bottles of Big Red wine. Extra Credit If we think about the problem, we see that AD White wine is the most profitable, then the Big Red wine and finally the Little Red wine. During the 8-hour shift, we manage to satisfy all the demand for AD White and Big Red, but on Friday, we do not. So, suppose we can actually store some wine for next day (and, suppose there are zero storage costs). Then, we can produce some Big Red wine onfor next day (and, suppose there are zero storage costs)....
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This homework help was uploaded on 02/20/2009 for the course ORIE 3300 taught by Professor Todd during the Fall '08 term at Cornell University (Engineering School).

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HW1_Solutions - ORIE 3300/5300 ASSIGNMENT 1 SOLUTION Fall...

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