A Certain Fishing Vessel Only Keeps Tuna That Weigh Above

Short Answer

A certain fishing vessel only keeps tuna that weigh above 50 pounds. For each tuna that they sell, they receive an amount equal to the weight of the tuna, in dollars, up to a maximum of $80. For a tuna that weighs above 80 pounds, they still receive $80. If the weight of a random tuna the vessel keeps is 50+X, where X is an exponential random variable with mean 25 pounds, find the expected amount the vessel receives for a random tuna.