Problem 3 lnfocomp Systems Lab is a research and development [R3213] company that develops computer systems and software primarily for the medical industry. The lab has proposals from its own researchers for eight new projects. Each of the proposed research projects requires limited resources, and it is not possible to undertake all of them. The following table shows the developments] budget. the number of researchers. and the expected annual sales from each project if successfully developed and implemented: Developmental Budget Number of Expected Annual Sales Project [$1,t},ll[ls] Research Personnel {$1.0l},s] 1 $0.6?5 6 $111.32 2 1.5 5 1.?5 3 {13'25 T LIEU 4 {1430' 3 1.91] 5 1.241} 11\".} [193 E {1390' ti 1.?1] "I 1.520' T 1.3l] 3 1.2oo {i 1.81] The lab has developed the following set of prioritized goals for selecting which projects to initiate: 1. The company would like to remain within a tots] developmental budget of 5 E D l]. 2. The number of avaiiable research personnel is 2?, and Infocomp would like to avoid obtaining extra researchers. 3. The company would like the expected future annual sales from the implemented projects to be at least $6.5.. 4. Projects 1. 3. Il. and I5 are considered offensive in that they represent new product initiatives. while projects 2. 5. T. and E are existing product upgrades and thus defensive in nature. The lab would like to select at least two projects from each group