A job shop has received an order for high-precision formed parts. The cost of producing each part is estimated to be $65,000. The customer requires that either 8, 9, or 10 error-free parts be supplied. Each good part sold will produce revenue of $100,000. If fewer than 8 good parts are produced, none will be purchased. If more INEG 4543 HS-1 Fall 2016 than 10 good parts are produced, the excess will not be purchased. The probability of an individual part being acceptable equals 0.85. a) Calculate the expected profit for batch production quantities of 8, 9, 10, 11, and 12. What is the optimum batch production quantity if the objective is to maximize expected profit? b) Calculate the probability of losing money for batch production quantities of 8, 9, 10, 11, and 12. What is the optimum batch production quantity if the objective is to minimize the probability of losing money?