Problem 1: Katie budgets 27 minutes each morning for her commute to work regardless of the time she leaves home. One week she left home at exactly 8am every day and recorded the amount of time it took for her to get to her ofce. The next week she left home at exactly 8:30am every day and recorded the amount of time it took for her to get to her ofce. (a) Create, save, and print a matrix called commutes with a column representing each week containing the following information: . On Monday of the two weeks, she arrived in 26 and 22 minutes, respectively 0 On Tuesday of the two weeks, she arrived in 35 and 23 minutes, respectively . On Wednesday of the two weeks, she arrived in 24 and 36 minutes, respectively . On Thursday of the two weeks, she arrived in 31 and 32 minutes, respectively 0 On Friday of the two weeks, she arrived in 34 and 25 minutes, respectively (b) Label the rows of commutes with the corresponding day of the week. (0) Compare her commute on each day of the week and determine whether she arrived faster leaving at 8:30am or not each day. (d) Determine the average commute time for each weekday over the two week period. (6) Determine how different each commute was relative to her budgeted time and save the difference values in a matrix called diff. (f) Determine the average difference over each week. Note: Do not manipulate the values prior to calculating the averages. (g) Determine the maximum delay over each week. (h) On which day(s) did she arrive the fastest in the rst week? (Only the day(s) of the week should print. Hint: Use the row names.) (i) Determine the day(s) of the second week on which she arrived to work within a half an hour. (Only the day(s) of the week should print.)