5.1. An engineering student will graduate this year with a BS degree at the age of 26 . He expects to make $60,000 / year for the rest of his career. He is considering his options for further study for an MS degree, where he can make an additional $10,000 per year. He is also thinking of retiring at the age of 55 or 66 years. Option 1. Enroll in a master's degree program and pay full tuition at $40,000 and graduate in one year. Option 2. Enroll in a master's degree program with a teaching assistantship, pay no tuition at all, and graduate in two years. Option 3. Enroll in a master's degree program and pay full tuition at $40,000 and graduate in one year; borrow the money with a long-term student loan to be paid out in 10 years at $5000 per year starting at the end of the first year after he receives his MS degree. Make a decision table based on present worth analysis ( PW=PV ). The table should include the baseline (no master's) and the three master's options. Assume an inflation rate of 5 percent. Make a snapshot of the four alternatives after five years and after a lifetime of work retiring at either 55 or 66 years. Assume no tax consequences. Please show all of your calculations in details. Put your results in a matrix of three rows of years of work and four columns (baseline and choices 1,2 , and 3 )