Chris promises dina $40,000 if she graduates from eagle college. dina enrolls in eagle, attends full-time for four years, and gr

This pertains to permutations, and since we are fixing the first and last joke's positions based on the information provided, there are 10 remaining jokes to arrange. Any unique ordering of these 10 jokes will yield a different configuration, thereby giving us a total of 10! arrangements, which can be calculated as 10! = 10*9*8*7*6*5*4*3*2*1 = 3628800. Thus, there are 3628800 different sequences to present the old joke first and the new joke at the end.

Response:

Clarification:

Last year's customer orders totaled 15000

Predicted orders for next year with a 15% rise = 15000 x 1.15 = 17250

Each customer order takes 1.5 hours to fulfill

Total time needed to satisfy customer orders = 17250 x 1.5 = 25875

Knowing that the standard work year comprises 2000 hours

Hence, the effective work year with a 2% capacity cushion

= Standard work year x ( 1 – Capacity cushion %/100)

= 2000 x 0.98  = 1960 hours

Workers required by manager

= Total time needed for orders / effective work year

= 25875 / 1960  = 13.20, rounded to 13

Thus, the manager will require 13 workers next year