Final answer:
The clothing company will make approximately $214.60 if 42 customers take advantage of the special.
Step-by-step explanation:
To calculate the amount of money the company will make, we need to determine the total cost of shirts and jeans given out for free.
Each customer will receive a free pair of jeans for every 4 shirts purchased.
The cost of 1 shirt is $3.46 and the cost of 1 pair of jeans is $5.56.
So, the cost of 4 shirts is 4 x $3.46 = $13.84.
Therefore, for each set of 4 shirts, the company is losing $13.84 on production costs and gaining $21.46 on sales.
For 42 customers, the company will distribute 10 sets of 4 shirts and give away 10 pairs of jeans.
The total amount of money the company will make is (10 x $21.46) = $214.60.