MA 114 Exam 1 - Version AFebruary 23, 2017Instructions: Read all questions very carefully. Before you begin please write your name,your version of the test, seat number and section of the room (left, center, or right) on thefront of your blue book. All work should be written in your blue book, nothing written onthe test will be graded. You may do problems out of order, as long as they are clearly labeled,but please start each question on a fresh page (the back is fine). Write neatly. Show yourwork for full credit and clearly identify your final answer. No notes, formula sheets, phones,graphing or symbolic calculators, or friends are allowed (basic or scientific calculators areacceptable). Good luck!1.[20 points]GivenA=7221, B=2312findA+BandA-2B.2.[20 points]GivenA=721212,c=31-1 ,b=32andv=xyz. Constructthe following linear programming problem.Do NOT solve. (Write your answer interms of x, y and z.)You need to take the matrix multiplication to get thefull credit.