Final answer:
Brett must work a total of 50 hours to earn a gross weekly pay of $1056; this includes 40 hours at his regular rate and 10 hours at an overtime rate of 1.5 times his regular hourly wage.
Step-by-step explanation:
To determine the number of full hours Brett must work to earn a gross weekly pay of exactly $1056, we first need to calculate his regular and overtime pay. Brett earns $19.20 per hour for the first 40 hours, which is his regular pay. Any hours worked over 40 hours are considered overtime.
Let's calculate Brett's earnings for 40 hours of work:
Regular earnings = 40 hours × $19.20/hour = $768
Since Brett needs to earn $1056 in total and he has already earned $768 from the first 40 hours, we need to calculate how much more he needs to make:
Required overtime earnings = Total earnings - Regular earnings = $1056 - $768 = $288
Typically, overtime pay is 1.5 times the regular hourly rate. Assuming this is the case (as no specific overtime rate is provided), let's calculate Brett's overtime rate:
Overtime rate = $19.20/hour × 1.5 = $28.80/hour
Now we can determine the number of overtime hours needed to earn the additional $288:
Overtime hours needed = $288 / $28.80/hour = 10 hours
Adding the regular and overtime hours gives us:
Total hours needed = 40 hours (regular) + 10 hours (overtime) = 50 hours
Therefore, the answer is C. 50 hours.