Homework SourseThe productivity rating of an individual worker at the Cruz
The productivity rating of an individual worker at the Cruz Corporation assembly line is based on the number of tasks accomplished, mistakes made, and responsiveness to difficulties encountered The average of all scores allows the company to use the company to use a simple model based on time on the floor given by PR=-0.4x^3+2x^2+10x+5, where x is in hours at work. A PR score of 20 is acceptable and a score of 40 is highly unusual.
a. When are workers scores the highest?
b. Design an 8-hour day where workers do the most demanding jobs for about 6 hours and have 2 hours for less stressful work. Explain your reasoning
Show work and sketch of graph..
a. When are workers scores the highest?
b. Design an 8-hour day where workers do the most demanding jobs for about 6 hours and have 2 hours for less stressful work. Explain your reasoning
Show work and sketch of graph..
Solution
PR= -0.4x^3+2x^2+10x+5 dPR/dx = -1.2x^2 +4x +10 equating above to zero we get x =5 hence at x =5 hour worker scores highest ........... upto 5 hour PR increases and the decreases after 5 hour hence 6-2 division of work is made
