Question 4: A foundry has received an order for 13 custom-designed castings. The casting process costs $500 per unit scheduled. If a casting is not sold, it has a recycle value of $120. The customer has indicated a willingness to pay $3,000 per casting for 13 acceptable castings-no more, no less! Based on historical records, the following probability distributions have been estimated. Nim # of good # of castings produced (Q). castings (x) 13 14 15 10 0.20 0.00 0.00 11 0.20 0.20 0.00 12 0.30 0.20 0.15 13 0.30 0.20 0.15 14 0.00 0.40 0.25 15 0.00 0.00 0.45 16 0.00 0.00 0.00 17 0.00 0.00 0.00 TH HHH va un 16 0.00 0.00 0.10 0.20 0.20 0.25 0.25 0.00 17 0.00 0.00 0.10 0.10 0.15 0.15 0.25 0.25 How may castings should be scheduled for production to maximize expected profit? Question 4: A foundry has received an order for 13 custom-designed castings. The casting process costs $500 per unit scheduled. If a casting is not sold, it has a recycle value of $120. The customer has indicated a willingness to pay $3,000 per casting for 13 acceptable castings-no more, no less! Based on historical records, the following probability distributions have been estimated. Nim # of good # of castings produced (Q). castings (x) 13 14 15 10 0.20 0.00 0.00 11 0.20 0.20 0.00 12 0.30 0.20 0.15 13 0.30 0.20 0.15 14 0.00 0.40 0.25 15 0.00 0.00 0.45 16 0.00 0.00 0.00 17 0.00 0.00 0.00 TH HHH va un 16 0.00 0.00 0.10 0.20 0.20 0.25 0.25 0.00 17 0.00 0.00 0.10 0.10 0.15 0.15 0.25 0.25 How may castings should be scheduled for production to maximize expected profit