The Purelife Buffet offers an all$-$you$-$can$-$eat buffet meal for $$35$ per person. The restaurant employs ten salaried employees. Rent for the building, employee salaries, and other fixed costs for the restaurant are $$231,200$ per month when the restaurant serves meals up to $14,100$ guests in that month. If the restaurant were to serve more than $14,100$ guests in any given month, it would need to hire two additional servers and two additional kitchen staff for an additional fixed cost of $$24,000$ per month. The variable cost of food is $$10$ 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 $14,100$ guests per month?

$y=$

x$+$