Problem Set1. Nestlé’s has over one hundred production facilities that all purchase hair nets and other hygienic supplies through independent suppliers. Nestlé created a centralized purchasing system that is cumbersome to use has the potential to bargain for lower prices. Suppose that a division can purchase hairnets for $8 independently. If they all purchase through the central system, hairnets cost $6. But if one division uses the system and the other purchases independently, the cost to the first is $9 while the cost to the second is $7. What does the simultaneous move game look like and what is the equilibrium?2. The Doug’s Delicious Diner faces a demand curve for its daily special in which there are an equal number of potential buyers at every $0.20 price point between $8.00 and $6.00. If the marginal cost is $6.35, what price maximizes profits? Doug notices that at this price the unserved portion of demand are all senior citizens. If it offered a senior discount, how much should it be?