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Crabs are big money in Maryland and surrounding lesser important states. The total number of crabs that can be caught in a day will depend

Crabs are big money in Maryland and surrounding lesser important states. The total number of crabs that can be caught in a day will depend on the number of traps the company places according to the following table:

Number of Traps Total Crabs/day Crabs per Trap/day
1 10 10
2 18 9
3 24 8
4 28 7
5 30 6
6 30 5
7 28 4
8 24 3

The company has purchased many crab traps but needs to hire workers each day to place those traps. Crabs sell for $5 each, and it costs $24 in labor to set each trap each day. This is the cost of going into the bay, replenishing the trap with bait, making any repairs, and replacing it in the water.

How many traps should the company place each day? How much profit will it make?

In answering this question, provide a brief explanation of how you reached your conclusion.

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