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In order to answer the question regarding the number of overtime hours each team member will need to work, one must first analyze the labor information provided. The regular rate is $16 per hour, while the overtime rate is $23.50 per hour. Additionally, the targeted labor cost is $12,000 per week and 750 labor hours are needed per week. Lastly, any hour worked over 40 hours per week must be paid at the overtime rate.

To begin the analysis, it is important to know how many hours each person in the team must work in order to reach the targeted labor cost of $12,000 per week. To do this, the total cost for 750 hours of labor must be divided by the number of people in the team. If there are 13 people in the team, then the total cost for 750 hours of labor would be divided by 13, which gives a value of 923.08 dollars per person.

By subtracting the regular rate of $16 per hour from the total cost of $923.08 per person, the amount of overtime hours each person must work can be determined. This value comes out to 58.71 hours of overtime per person. Therefore, each team member needs to work an average of 58.71 hours of overtime per week in order to meet the targeted labor cost of $12,000. It can also be noted that each person should not work more than 40 hours of regular time, as anything above that should be compensated at the overtime rate of $23.50.

Now that the average number of overtime hours each person needs to work has been determined, it is important to understand how this number can affect the team's overall productivity. In the short term, requiring each person to work an extra 58.71 hours of overtime per week can help the team reach their goal of $12,000 in labor costs. However, in the longer-term, this could have a detrimental effect on the team's productivity.

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Firstly, having team members work an excessive number of overtime hours could lead to increased levels of stress and exhaustion, which can ultimately lead to a decrease in performance and productivity. Additionally, employees who are forced to work long hours are more likely to become disinterested in their job and take extended leaves of absence. Furthermore, working excessive hours can lead to decreased morale and motivation among team members, which can further damage their productivity.

Finally, having team members work an excessive number of overtime hours can result in negative effects on their physical and mental health. When people work extremely long hours, they often have less time to devote to physical exercise, proper diet, and relaxation, which can lead to issues such as obesity, depression, and anxiety. All of these factors can play a role in reducing the team's overall productivity.

Explanation:

In conclusion, it is clear that having team members work an average of 58.71 hours of overtime per week can lead to decreased productivity down the line. Therefore, it is important that a balance is maintained, where the team reaches their targeted labor cost of $12,000 but does not compromise their level of productivity due to excessive overtime hours.

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