Pizza King (PK) and Noble Greek (NG) are competitive pizzachains.  PK believes there is a 30% chance that NG willcharge $8 per pizza, a 50% that NG will charge $10 per pizza, and a20% chance that NG will charge $12 per pizza.  If PKcharges price p1 and NG charges price p2, PK will sell 100 + 25(p2– p1) pizzas. It costs PK $6 to make a pizza. PK is consideringcharging $7, $8, $9, $10, or $11 per pizza.  To maximizeits expected profit, what price should PK charge for a pizza?
