Please use the lexicographic goal programming method

8-25 Trustees of a major state university are trying to decide how much tuition 4 should be charged next year from four categories of fulltime students: in-state undergraduates, in-state graduates, out-of-state undergraduates, and outof-state graduates. The following table shows present tuition levels (thousands of dollars) for each eategory, together with projected enrollments (thousands) for next year and estimates of the true university cost to educate students. New tuitions must raise $292 million, but trustees would also like in-state tuitions to recover at least 25% of true cost and out-of-state, 50%. No tuition will be reduced from its present level, but the irustees would also like to assure that no tuition category increases by more that 10%. (a) Formulate a goal LP to compute suitable tuitions giving priority to the 10% increase goals over cost recovery. (b) Enter and solve your model with class optimization software