13 Jobs at Indiana University are rated on three factors:

Factor 1 Complexity of duties Factor 2 Education required Factor 3 Mental and or visual demands For each job at IU, the requirement for each factor has been rated on a scale of 1–4, with a 4 in factor 1 representing high complexity of duty, a 4 in factor 2 representing high educational requirement, and a 4 in factor 3 representing high mental and/or visual demands.

IU wants to determine a formula for grading each job.
To do this, it will assign a point value to the score for each factor that a job requires. For example, suppose level 2 of factor 1 yields a point total of 10, level 3 of factor 2 yields a point total of 20, and level 3 of factor 3 yields a point value of 30. Then a job with these requirements would have a point total of 10 20 30. A job’s hourly salary equals half its point total.
IU has two goals (listed in order of priority) in setting up the points given to each level of each job factor.
Goal 1 When increasing the level of a factor by one, the points should increase by at least 10. For example, level 2 of factor 1 should earn at least 10 more points than level 1 of factor 1. Goal 1 is to minimize the sum of deviations from this requirement.
Goal 2 For the benchmark jobs in Table 71, the actual point total for each job should come as close as possible to the point total listed in the table. Goal 2 is to minimize the sum of the absolute deviations of the point totals from the desired scores.
Use preemptive goal programming to come up with appropriate point totals. What salary should a job with skill levels of 3 for each factor be paid?

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TABLE 70 Product Labor Lumber Paint Price ($) 123 1.5 2 3 3 3 2 22 26 Variable Cost ($) 10 28 6 [2 4 2 31 7