please use R(Q,x) and C(Q,x)

Question 4: A foundry has received an order for 14 custom-designed castings. The casting process costs $500 per unit scheduled. If a casting is not sold, it has a recycle value of $100. The customer has indicated a willingness to pay $5,000 per casting for 14 acceptable castings-no more, no less! Based on historical records, the following probability distributions have been estimated. of castings produced (0) 15 16 of good castings (x) 10 11 12 13 14 14 0 0.2 0.2 0.2 0.4 0 OOOOOOOO 0.2 I 0.2 0.2 0.2 0.4 OOOOOOOO 15 16 17 0.2 0.2 0.4 OO How may castings should be scheduled for production to maximize expected profit? If