3. ABC Company produces product XYZ. ABC got an order from Retailer 123 for 5 XYZ'S. No matter how many XYZ's you make there is a 20% chance they all will be good, a 30% chance all but 1 will be good, a 30% chance all but 2 will be good, and a 20% chance all but 3 will be good. You can sell up to 5 good XYZ'S to 123 for $100 each. If you produce too many good XYZ'S you can sell them at a discount for $40 each. Defective XYZ's have a recycle value of $25. It costs $60 to manufacture each XYZ. How many XYZ's should be produced to maximize expected prot? Show your work, i.e., y probability and cost matrices (10 Points)