Question 18

Your answer is CORRECT.Solve the following system of equations by using the inverse of the coefficient matrix.a) x= -5, y= 1b) x= -2, y= -1c) x= -5, y= -1d) x= -3, y= 1e) x= 0, y= 2f) None of the above.Question 19Your answer is CORRECT.A certain academic department at a local university will conduct a research project. The department willneed to hire graduate research assistants and professional researchers. Each graduate research assistantwill need to work 26 hours per week on fieldwork and 14 hours per week at the university's researchcenter. Each professional researcher will need to work 13 hours per week on fieldwork and 27 hours perweek at the university's research center. The minimum number of hours needed per week for fieldwork is156 and the minimum number of hours needed per week at the research center is 137. Each researchassistant will be paid $249 per week and each professional researcher will be paid $473 per week. Let denote the number of graduate research assistants hired and let ydenote the number of professionalresearcher hired. The department wants to minimize cost. Set up the linear programming problem for thissituation.xa)

Question 20Your answer is CORRECT.Use the method of corners to maximize P = 18x+ 39ysubject to2x+ y<110x+ 4y<12x>0y>0