{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Rec3_sol_2010 - ORIE 3300/5300 Fall 2010 Solutions for...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
ORIE 3300/5300 - Fall 2010 Solutions for Recitation 3 Problem 1-4 in AMPL book (a) First, we have to know what products (types of cars) we are going to produce. We will declare this set as set P; Then, for each car type we need: time it takes to produce the car: param time { j in P ; } unit profit for each type: param profit { j in P } ; orders of each type: param orders { j in P } ; Finally, we need to define the total available time: param b; The decision variables describe how many cars of each type we produce. To declare them in AMPL we write: var X { j in P } ; (b) Assuming that the objective is to maximize total profit, we should structure the problem in the following way: objective: maximize Total Profit: sum { j in P } profit[j]*X[j]; subject to two constraints: constraint on time - total production time is at most b . In AMPL we write: subject to Time: sum { j in P } time[j]*X[j] <= b; orders constraint - for each car type, we have a lower bound on pro- duction in order to meet dealer requirements. In AMPL we write: subject to LB { j in P } : X[j] >= orders[j];
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern