Math Solutions

[See] Explicitly state the following: Decision Variables: Express the decision variable in mathematical notation, and state what each decision variable

Question: Explicitly state the following:

  1. Decision Variables: Express the decision variable in mathematical notation, and state what each decision variable stands for in words.
  2. Constraints: Write each constraint in mathematical notation, and state what it stands for in words.
  3. Objective function: Write the objective in mathematical notation, and state what it stands for in words.
  4. Following steps (1) – (3), write the entire model as a linear programming (LP) formulation.
  5. Solve the LP using GAMS, and determine the optimal values of: decision variables, objective function, and constraints.

Consider the following data for a linear programming problem where the objective is to maximize profit from allocating three resources to two nonnegative activities.

Resource Resource Usage
per Unit of Each Activity 		Amount of Resource Available
Activity 1 Activity 2
1 2 1 10
2 3 3 20
3 2 4 20
Profit per unit of
activity 		20 30
  1. Formulate a linear program for this problem
  2. Use the graphical method to solve the problem
  3. Verify your answer using GAMS

Price: $2.99
Solution: The downloadable solution consists of 4 pages
Deliverable: Word Document


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