Using the data given below, develop a linear programming (goal programming) model to evaluate the jobs. The model should include constraints covering:

(i) The total score for the Job 1 (highest) should be close to 2000 but not more.

(ii) The score assigned to Job 16 should be as near as possible to 1200.

(iii) The score for the Job 30 (lowest) should be as close to 400 but not less.

(iv) The differential in scores between the jobs listed above should be at least 300.
(v) The scores should be in conformity to the stipulated rankings of the jobs.

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Points by Each Factor Benchmark Jobs 1 A 1628 9 16 40 45 24 30 35 30 20 24432 70 65 45 40 & & & & &|w B D E 70 50 60 40 50 35 40 20 15 25 28842 70 70 55 40 30 15