Lobsters vary in sizes. The bigger the size, the more valuable the lobster per pound (a 6-pound lobster is more valuable than two 3-pound ones). Lobster merchants will sell entire boatloads for a certain price. The boatload has a mixture of sizes. Suppose the distribution is as follows:

What is a fair price for the shipload?

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P(x) 0.1 0.1 0.3 0.2 0.2 0.05 0.05 x(pound) v(x) (S) 2.5 3.0 3.25 3.40 3.60 5.00 1% 1% 1%