The admissions office at tech wants to determine how many in-state and how many out-of-state students to accept for next fall’s entering freshman class. tuition for an in-state student is $7,600 per year, whereas out-of-state tuition is $22,500 per year. a total of 12,800 in-state and 8,100 out-of-state freshmen have applied for next fall, and tech does not want to accept more than 3,500 students. however, because tech is a state institution, the state mandates that it can accept no more than 40% out-of-state students. from past experience the admissions office knows that 12% of in-state students and 24% of out-of-state students will drop out during their first year. tech wants to maximize total tuition while limiting the total attrition to 600 first-year students. linear programming model for this problem is formulated as following: maximize z = $7,600x1 + 22,500x2 subject tox1 + x2 ≤ 3,500x2/(x1 + x2) ≤ .40 (you must bring it to the standard form).12x1 + .24x2 ≤ 600x1,x2 ≥ 0a. solve this model by using solver. b. write 2-3 sentences interpreting sensitivity analysis.