16. A developer of video game software has seven proposals fornew games. Unfortunately,
the company cannot develop all the proposals because its budget fornew projects
is limited to $950,000, and it has only 20 programmers to assign tonew projects.
The financial requirements, returns, and the number of programmersrequired by each project are summarized in the following table.Projects 2 and 6 require specialized
programming knowledge that only one of the programmers has. Both ofthese
projects cannot be selected because the programmer with thenecessary skills can be
assigned to only one of the projects. (Note: All dollar amountsrepresent thousands.)
Project Programmers Required Capital Required Estimated NPV
1 7 $250 $650
2 6 $175 $550
3 9 $300 $600
4 5 $150 $450
5 6 $145 $375
6 4 $160 $525
7 8 $325 $750
a. Formulate an ILP model for this problem.
b. Create a spreadsheet model for this problem and solve it.
c. What is the optimal solution?