Why expected profit to be positive, Operation Management

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A job shop receives an order for high precision formed parts. The cost of producing each part is approximately $20,000. The customer requires that either 4 or 5 good parts be supplied. Each good part sold will yield $30,000. However, if fewer than 4 good parts are produced, none will be purchased. The probability of an individual part being acceptable to the customer is .80. 1/ Determine the optimum batch production quantity given that the job shop has agreed to supply the formed parts. 2/ Is the situation a profitable one for the job shop? I 3/ If not, how must the selling price be changed for the expected profit to be positive?


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