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Answer:
11.4 labor hours
Step-by-step explanation:
You want to know how many labor hours are required to produce 410 meals by 5 people at the rate of 3 meals per minute.
The number of hours required to produce 410 meals is ...
[tex]\dfrac{\text{$410$ meals}}{\dfrac{3\text{ meals}}{\dfrac{1}{60}\text{ h}}}=\dfrac{410}{180}\text{ h}=2\dfrac{5}{18}\text{ h}[/tex]
If 5 people are involved for that period of time, the number of labor hours is ...
[tex](5 \text{ persons})\times(2\dfrac{5}{18}\text{ h})=10\dfrac{25}{18} \text{ person$\cdot$h} =\boxed{11\dfrac{7}{18}\approx11.4 \text{ person$\cdot$h}}[/tex]
About 11.4 labor hours are needed to staff the tray line.