Question: For each formulation problem, please define your decision variables clearly. You need to submit your code for solutions. An eccentric sheikh left a will for

For each formulation problem, please define your decision variables clearly. You need to submit your code for solutions.

An eccentric sheikh left a will for the distribution of his herd of camels among his three

children: Tarek receives at least one-half of the heard, Sharif gets at least-one third, and

Marisa gets at least one-eighth. The reminder goes to a charity organization. The will does

not specify the size of the herd except to say that it is an odd number of camels and that the named charity receives exactly one camel. How many camels did the sheikh leave in the estate, and how many did each child get? (The question is attributed to Dr. Taha, a well-known scholar in operations research community.)

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