Problem 1 is asking for:

Definition of Decision Varaibles

Development of Objective Function

Development of constaints

Problem 2 is asking for:

Project schedule network

Definition of decision variables

develop the complpete optimization model to minimiz the total cost (fixed cost + variable cost) of finishing the project in 31 days.

development of objective function

development of constraints

Solve this model using solverQuestion 1: Integer Programming

Grading breakdown for this question:

Model Formulation

Definition of Decision variables: 30 points Development of Objective Function:  Development of constraints: Formulas

Problem Statement

A workshop has 6 machines that can perform any job assigned to them. The workshop has 10 jobs that it needs to complete over two days. Jobs 1 to 5 must be finished on the first day and jobs 6 to 10 must be finished on the second day. Any of the machines will take a complete day to finish any of the jobs. The workshop manager requires that none of the machines stay idle for the two days.

Write an integer programming model that would minimize the total costs of running the 10 jobs. The cost per job per machine is given in the Table below.

Question 2: (Project Management Problem)

Grading breakdown for this question:

Model Formulation

Project Schedule Network:  Definition of Decision variables:  Development of Objective Function:  Development of constraints:  Computer Solution:

Problem Statement

A company hired a contractor to perform the following project. The project consists of 8 activities, A - H. The table below lists the activities, their prerequisites, the normal duration of each activity, the fixed and variable costs of reducing that duration, and the maximum days that can be crashed.

a. Create the project schedule network

b. Develop the complete optimization model to minimize the total cost (fixed cost+variable cost) of finishing the project in 31 days.

c. Solve this model using Solver