The management at a plastics factory has found that the maximum number of units
ID: 2912305 • Letter: T
Question
The management at a plastics factory has found that the maximum number of units a worker can produce in a day is 50. The learning curve for the number N of units produced per day after a new employee has worked t days is modeled by N 501 ekt). After 20 days on the job, a new employee produces 19 units (a) Find the learning curve for this employee. (Hint: First, find the value of k. Round your value of k to three decimal places.) (b) How many days does the model predict will pass before this employee is producing 24 units per day? (Round your answer to the nearest whole number.) days Need Help?Read It Watch It 14. +-16 points LarPCalc10 3.5.041 My Notes Ask Your Teacher A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. The numbers y of cell sites from 1985 through 2014 can be modeled by 330,120 1 372e-0.251t where t represents the year, with t-5 corresponding to 1985. (a) Use the model to find the numbers of cell sites in the years 1998, 2003, and 2006. (Round your answers to the nearest whole number.) 1998 y 2003 y - 2006 y cell sites cell sites cell sitesExplanation / Answer
1) N = 50 ( 1 - e^kt )
a new employee produces 19 units
19 = 50 ( 1 - e^k(20) )
19/50 = ( 1 - e^20k )
k = -0.024
N = 19
b) if employee is producing 24 units per day
24 = 50 ( 1 - e^(-.024t )
24/50 -1 = - e^(-.024t )
t = 27 days
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