Corsouth Mortgage Associate is a large home mortgage firm in the Southeast. It has a pool of permanent and temporary computer operators who process mortgage accounts, including posting payments and updating escrow accounts for insurance and taxes. A permanent operator can process 220 accounts per day, and a temporary operator can process 140 accounts per day. An over age, the firm must process and update at least 6,300 accounts daily. The company has 32 computer workstation available. Permanent and temporary operators work 8 hours per day. A permanent operator averages about .4 error per day, whereas a temporary operator averages 0.9 error per day. The company wants to limit errors to 15 per day. A permanent operator is paid $120. Per day, whereas a temporary operator is paid $75.00 per day. Carosouth wants to determine the number of permanent and temporary operators it needs to minimize cost.

Formulate and solve an integer programming model for this problem and compare this solution to the non-integer solution.

Is integer values a general property of Linear Programming problems? Explain why rounding or truncating non-integer values for the solutions is not an appropriate method for obtaining integer solutions.

1. IntegerProgramming Problem
Consider the following integer linear programming problem
Max Z=3x1+2x2
Subject to:
3x1+5x2<=30
5X1+2x2<=28
x1<=8
x1,x2>=0 and integer
The solution to the Linear programming relaxation is: x1 = 5.714, x2= 2.571.
What is the Z value for the optimal solution under integer

Explain the characteristics of integerprogramming problems.
Give specific instances in which you would use an integerprogramming model rather than an LP model. Provide real-world examples.
Explain how the applications of Integerprogramming differ from those of linear programming.
Why is "rounding-down" an LP solutio

1) Consider the following all-integer linear program
Max 5X1 + 8X2
s.t. 6X1 + 5X2 <= 30
9X1 + 4X2 <= 36
1X1 + 2X2 <= 10
a) Find the optimal solution to the Relaxation LP.
b) Find the optimal solution to the All-inte

Please see the attached file for the fully formatted problems
New Offices at Atlantic Management Systems
Eliminate Denver in table when solving this problem. See attachment for problem.
1. Formulate and solve an integerprogramming model to help Atlantic Systems determine how many new offices it should open where the

The Texas Consolidated Electronics Company is contemplating a research and development program encompassing eight research projects. The company is constrained from embarking on all projects by the number of available management scientists (40) and the budget available for R&D projects ($300,000). Further, if project 2 is select

Consider the following all-integer linear program:
Max 2x1+3x2
s.t.
4x1+9x2<36
7x1+5x2<35
1x1+2x2<10
X1,x2>0 and x1 integer
a. Graph the constraints for this problem. Indicate on your graph all feasible mixed-integer solutions.
b. Find the optimal solution to the LP Relaxation. Round the value of x1 down