Question One (15 Marks) Jack owns a buffet hotpot restaurant in town. Each month, Jack pays $4000 for renting the location and equipment. The energy cost including electricity, gas and water is $3000 each month. Since a hotpot is cooked by guests on their own, Jack needs only one chef for preparing appetizers. Jack pays $35 00 to the chef monthly. Jack hires two servers. Each server gets paid $1800 every month. On average. Jack estimates the cost to serve a guest is 812. which includes the costs of food items. drinks, and other supplies, such as napkins and chopsticks. 3) Use the given information to derive Jack's total cost function. I 4 Marks) b) Suppose Jack charges each guest 53:":- per meal. What is the total revenue function of Jack's restaurant? (2 Marks) c) Use the results in Part a) and b) to derive the prot function of the restaurant. (3 Marks) (I) At least how many guests does J ac]: have to serve each month in order to avoid a loss, i. e., a negative profit? (3 Marks} e) Use the result in Part a) to write dotvn three mathematical expressions for the average total cost. the average fixed cost. and the average variable cost. (3 Marks}