This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.

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Step 1: Define the objective function. Let be the probability of finding oil at site given units of money are allocated to it, assuming oil exists at site . These values are given in the table. Let be the probability that oil exists at site .
The probability of finding oil at site given an allocation is . The probability of not finding oil at site given an
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Define the objective function. Let P_i(x_i) be the probability of finding oil at site i given x_i units of money are allocated to it, assuming oil exists at site i.
This computer science problem involves algorithmic thinking and programming concepts. The solution below explains the approach, logic, and implementation step by step.