Question 2Staff at the fast food outlet start out as trainees (Tr).Trainees either go on to become probationary staff members (Pr) or they leave (L).Probationary staff either go on to become permanent staff members (P) or they leave.At the start of 2013 there were 10 trainees, 20 probationary and 60 permanent staff at this outlet.The transition matrix T, below, shows the pattern of movement of staff from one month to thenext.this monthTr Pr P L0 0 0 0]Tr0 Pr0.9 0.7 0 P0.2 0.1 0.3 1L0.8T =next montha i.Complete the transition diagram below using matrix T. Indicate the appropriatepercentages on the diagram.80%90%How many trainees go on to become probationary staff members after one monthinto 2013?ii.The initial state matrix, S, for the number of staff at this fast food outlet at the start of2013 is given by10 Tr20 Pr60 P Let S, represent the state matrix which gives the number of staff at the fast food outlet at the endof the nth month in 2013.b.If no new staff are employed, then S, - 7S,-In this case,find the total number of staff working at the outlet at the end of the first month.ii. find S,.iii.find the months in 2013 when the owner had trainee staff and/or probationary staff.find the month in 2013 during which the number of permanent staff first droppedbelow five.iv.Assume that the owner of the fast food outlet can find more trainee, probationary and permanentstaff. (These latter two categories he can source from other outlets in the same fast food chain.) Hewishes to maintain each month the same number of staff as there are at the start of 2013.How many trainee, probationary and permanent staff does the owner have to employ atthe end of each month to achieve this?

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Staff at the fast food outlet start out as trainees (Tr). Trainees either go on to become probationary staff members (Pr) or they leave (L). Probationary staff either go on to become permanent staff members (P) or they leave. At the start of 2013 there were 10 trainees, 20 probationary and 60 permanent staff at this outlet. The transition matrix T, below, shows the patten of movement of staff from one month to the next. this month Tr Pr P L [o 0 0 0]Tr 0.8 0 0 0 Pr T = 0 0.9 0.7 oP next month [02 0.1 0.3 1]L Complete the transition diagram below using matrix T. Indicate the appropriate percentages on the diagram. 80% 90% How many trainees go on to become probationary staff members after one month into 2013? ii. The initial state matrix, S, for the number of staff at this fast food outlet at the start of 2013 is given by 10 Tr 20 Pr 60 P

Staff at the fast food outlet start out as trainees (Tr). Trainees either go on to become probationary staff members (Pr) or they leave (L). Probationary staff either go on to become permanent staff members (P) or they leave. At the start of 2013 there were 10 trainees, 20 probationary and 60 permanent staff at this outlet. The transition matrix T, below, shows the patten of movement of staff from one month to the next. this month Tr Pr P L [o 0 0 0]Tr 0.8 0 0 0 Pr T = 0 0.9 0.7 oP next month [02 0.1 0.3 1]L Complete the transition diagram below using matrix T. Indicate the appropriate percentages on the diagram. 80% 90% How many trainees go on to become probationary staff members after one month into 2013? ii. The initial state matrix, S, for the number of staff at this fast food outlet at the start of 2013 is given by 10 Tr 20 Pr 60 P

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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