Formulate this problem as a transportation problem

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Question: Bob, Carol, David, and Alice are stranded on a desert island. Bob and David each would like to give their affection to Carol or to Alice. Food is the currency of trade for this starving foursome. Bob is willing to pay Carol 7 clams if she will accept his affection. David is even more keen and is willing to give Carol 9 clams if she will accept it. Both Bob and David prefer Carol to Alice (sorry Alice). To quantify this preference, David is willing to pay Alice only 2 clams for his affection. Bob is even more averse: he says that Alice would have to pay him for it. In fact, she'd have to pay him 3 clams for his affection.

Carol and Alice, being proper young women, will accept affection from one and only one of the two guys. Between the two of them they have decided to share the clams equally between them and hence their objective is simply to maximize the total number of clams they will receive. Formulate this problem as a transportation problem. Solve it.

Reference no: EM131468942

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