fixed cost of $$19,000$ per month. The variable cost of food is $$11$ per guest.

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Requirement $1.$ What is the restaurant's cost equation for estimating costs if the number of guests to be served is up to $14,500$ guests per month?

$y=\sqrt[\phantom{2}]{x+},$ Requirements

What is the restaurant's cost equation for estimating costs if the number of guests to be served is up to $14,500$ guests per month?

If the restaurant were to serve $14,000$ 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 $12,700$ 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 $14,500$ guests per month?

If the restaurant were to serve $16,000$ guests in July, what would be the estimated total cost? $($Use the cost equation from Requirement $4.)$

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