An automobile maker has an order for 7,500 new cars to be delivered in one week. Each car must be fitted with a new hood ornament that requires 1 hour and 15 minutes to install. Assuming the factory operates on a standard workweek shift (8 hours per day for 5 days), how many workers must be assigned this job to meet the deadline?

To calculate the number of workers needed to meet the deadline, we need to determine the total number of working hours required to install the hood ornaments and then divide it by the available working hours per worker within the given time frame.

First, let's calculate the total working hours required to install the hood ornaments:

Number of cars = 7,500
Time required to install one hood ornament (in hours) = 1 hour and 15 minutes = 1.25 hours

Total time required to install the hood ornaments = Number of cars x Time required per car
= 7,500 cars x 1.25 hours per car
= 9,375 hours

Now, let's calculate the available working hours per worker within the given time frame:

Number of working days = 5 days
Working hours per day = 8 hours

Total available working hours per worker = Number of working days x Working hours per day
= 5 days x 8 hours per day
= 40 hours

Finally, let's calculate the number of workers needed:

Number of workers needed = Total time required to install the hood ornaments / Total available working hours per worker
= 9,375 hours / 40 hours
= 234.375

Since we need a whole number of workers, we can round up to the nearest whole number because we cannot have a fraction of a worker. Therefore, we would need 235 workers assigned to this job to meet the deadline.

p = #people.

p x (8 hrs/1 day) x (5 days/1 week) = 1.25 hrs/car x 7,500 cars.

Solve for p.

234