Please show your work for questions that ask for it.

1) Use Polyas Problem Solving Techniques to answer the following questions. a) (5 points) A small party was held in a friends dorm room with 10 attendees. Every person said hello to each of the others exactly once. How many hellos were said at the party.

b) (2 points) At the same party with 10 people, each person had on a solid color shirt. If there were 8 different colors (red, orange, yellow, green, blue, purple, white and black), why must two attendees have had on the same color shirt?

2) (9 points) You have started a catering business and your first customer asked you to provide lunch during 4 employee meetings in the month of September. You would like to use the expense information to predict your overall expenses as you get more customers.

Here is a list of costs you incurred for the four lunches:

Food supplies: $500

Employee Wages and Overtime (Not salaried): $200

Auto commuting expenses: $72

Depreciation food processing equipment/refrigeration (per month): $50

Managers salary (Monthly): $1000

Office rent (Monthly): $600

a) What is the total fixed cost? Variable Cost?

b) What is the variable cost per lunch?

c) What is the cost equation?

d) Use your cost equation to estimate the cost of catering 10 lunches.

e) During the Covid-19 Pandemic your Catering Company shut down for the month of April. What is your estimated cost for April?