A firm has received an order for 25 die cast parts made from precious metals. The parts will sell for $5000 each; it will cost $2500 to produce an individual part. The probability of a part meeting final inspection equals 0.98. Parts not sold, good and bad, can be recycled at a value of $1000. A penalty clause in the contract results in the firm having to pay the customer $500 per unit short. Determine the number of parts to be scheduled for production to maximize expected profit.