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Intent upon preventing Ricky (Desi Arnaz) and Fred (William Frawley) from judging a bathing beauty contest in Miami Beach, Lucy (Lucille Ball) and Ethel (Vivian Vance) arrange for the foursome to "accidentally" run out of gas while taking a boat cruise. Unfortunately, the backup gas tank planted by Lucy is mislaid, and the two couples (as well as Little Ricky [Richard Keith]) end up on a seemingly deserted island. By a stunning coincidence, this island is also being used by a movie company to film a documentary featuring actor Claude Akins, and two gorgeous swimsuit-clad starlets, Joi Lansing and Jill Jarmyn. Taking Akins into their confidence, Ricky and Fred decide to teach Lucy and Ethel a lesson for marooning them -- and without giving any more of the plot away, it should be noted that Akins is made up as a fierce Native American warrior.