Formulate the problem as a GOAL PROGRAMMING PROBLEM making sure to label all variables and specify their type.

Palmer management consultants wishes to select next month's projects from among 6 clients who have applied for their services. Palmer is considering projects from the clients listed below that will require the number of analysts, bring in the expected revenues and have the characteristics given in the table below:

Projects Analysts Revenue Application month Customer status

Anderson Automotive 2 $25000 June Existing

Anokam Airlines 6 $50000 May New

Inman Industries 4 $36000 July Existing

Lowe Lending 10 $60000 June Existing

Palomo Plastics 3 $32000 July New

Voelker Vitamins 1 $20000 June Existing

Palmer must select a schedule for next week that will require using at most 16 analysts. Palmer also wishes to adopt a schedule that will achieve the following goals:

Priority level 1 goals

Goal 1: Bring in $100000 or more in revenue.

Priority level 2 goals

Goal 2: Prefer to schedule all projects that have been waiting for a month or longer.

Priority level 3 goals

Goal 3: Prefer to adopt a schedule that assigns no more analysts to new customers than to existing customers