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Assignment 7 - MGSC 1206.2 Assignment#7 Winter 2008 Due 1...

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MGSC 1206.2 Assignment #7 Winter 2008 Due: 1 pm, Friday, March 28 th Note: Points will be deducted if you do not (a) show your work including suitable calculations, (b) use proper notation, and (c) answer word problems with words. Hand in your answers to the following four questions: 1. For the function g(r) = r 3 – 3r 2 – 24r + 5 answer the following (assuming for now that the variable r can take any value): a) Determine where the function is concave upward and where it is concave downward. b) Find the critical numbers for the function, i.e. where its derivative equals zero. c) Use the results of (b) and the Second Derivative Test to determine where the function has a relative maximum and/or a relative minimum. d) If in fact it is only feasible for the variable “r” to be in the range 0 ≤ r ≤ 6, find the absolute maximum and absolute minimum of the function g(r) in its feasible range. 2. A company is seeking productivity improvement using a training program to improve the skills of its staff. It has been found that if all staff take t
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