This questron: $1$ p$$int$($s$)$ possible

The Paulson Buffet offers an all$-$you$-$can$-$eat buffet meal for $$32$ per person. The restaurant employs ten salaried employees. Rent for the building, employee salaries, and other fixed costs for the restaurant are $$169,000$ per month when the restaurant serves meals up to $14,400$ guests in that month. If the restaurant were to serve more than $14,400$ guests in any given month, it would need to hire two additional servers and two additional kitchen staff for an additional fixed cost of $$23,000$ per menth. The variable cest of foed is $$11$ per guest.

Read the requirements.

Requirements

What is the restaurant's cost equation for estimating costs if the number of guests to be served is up to $14,400$ guests per month?

If the restaurant were to serve $13,000$ guests in May, what would be the:

a$.$ Estimated total cost? $($Use the cost equation from Requirement $1.)$

b$.$ Average cost per guest?

If the restaurant were to serve $11,200$ guests in June, what would be the:

a$.$ Estimated total cost using the cost equation from Requirement $1?$

b$.$ Estimated total cost using the average per guest cost from Requirement $2b?$

c$.$ Why is there a difference in the two cost estimates?

What is the restaurant's cost equation for estimating costs if the number of guests to be served is more than $14,400$ guests per month?

If the restaurant were to serve $15,300$ guests in July, what would be the estimated total cost? $($Use the cost equation from Requirement $4.)$