To make some extra money, you decide to print four types of silk-screened T-shirts that you sell at various prices. You have an inventory of 20 shirts that you can sell for $8 each, 30 shirts that you sell for $10 each, 24 shirts that you sell for $12 each, and 20 shirts that you sell for $15 each. A friend of yours runs a side business selling embroidered baseball caps and has an inventory of 30 caps that can be sold for $10 each, 16 caps that can be sold for $10 each, 20 caps that can be sold for $12 each, and 28 caps that can be sold for $15 each. You suggest swapping half your inventory of each type of T-shirt for half his inventory of each type of baseball cap. Is your friend likely to accept your offer? Why or why not?
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