The Carrollton Buffet offers an all$-$you$-$can$-$eat buffet meal for $$30$ per person. The restaurant employs ten salaried employees. Rent for the building, employee salaries, and other fixed costs for the restaurant are $$143,000$ per month when the restaurant serves meals up to $14,000$ guests in that month. If the restaurant were to serve more than $14,000$ guests in any given month, it would need to hire two additional servers and two additional kitchen staff for an additional fixed cost of $$22,000$ per month. The variable cost of food is $$15$ per guest.Read the requirements.What is the restaurant's cost equation for estimating costs if the number of guests to be served is up to $14,000$ guests per month?If the restaurant were to serve $13,000$ guests in May, what would be the:.Estimated total cost? $($Use the cost equation from Requirement $1.)$b$.$Average cost per guest?$3.$ If the restaurant were to serve $11,000$ guests in June, what would be the:.Estimated total cost using the cost equation from Requirement $1?$b$.$Estimated total cost using the average per guest cost fromRequirement $2$b$?$C$.$Why is there a difference in the two cost estimates?$4.$ What is the restaurant's cost equation for estimating costs if the number of guests to be served is more than $14,000$ guests per month?$5.$ If the restaurant were to serve $15,000$ guests in July, what would be the estimated total cost? $($Use the cost equation from Requirement $4.)$Requirement $1.$ What is the restaurant's cost equation for estimating costs if the number of guests to be served is up to $14,000$ guests per month?y $=$Requirement $2$a$.$ If the restaurant were to serve $13,000$ guests in May, what would be the estimated total cost $($Use the cost equation from Requirement $1.)$If the restaurant were to serve $13,000$ guests in May, the estimated total cost would beRequirement $2$b$.$ If the restaurant were to serve $13,000$ guests in May, what would be the average cost per guest?If the restaurant were to serve $13,000$ guests in May, the average cost per guest would beRequirement $3$a$.$ If the restaurant were to serve $11,000$ guests in June, what would be the estimated total cost using the cost equation from Requirement $1?$If the restaurant were to serve $11,000$ guests in June, the estimated total cost using the cost equation from Requirement $1$ would beRequirement $3$b$.$ If the restaurant were to serve $11,000$ guests in June, what would be the estimated total cost using the average per guest cost from Requirement $2$b$?$If the restaurant were to serve $11,000$ guests in June, the estimated total cost using the average cost per guest from Requirement $2$b would beRequirement $3$c$.$ Why is there a difference in the two cost estimates?If the restaurant were to serve $11,000$ guests in June, the estimated total cost using the average cost per guest fromRequirement $2$b would beRequirement $3$c$.$ Why is there a difference in the two cost estimates?There is a difference in the two cost estimates because the average cost per guest$\_\_\_\_\_$unitas volume decreases, while the $\_\_\_\_\_\_$variable cost per unit$\_\_\_\_\_\_\_$as volume changes, due to the$\_\_\_\_\_\_$Requirement $4.$ What is the restaurant's cost equation for estimating costs if the number of guests to be served is more than $14,000$ guests per month?y$=$Requirement $5.$ If the restaurant were to serve $15,000$ guests in July, what would be the estimated total cost? $($Use the cost equation from Requirement $4.)$If the restaurant were to serve $15,000$ guests in July, the estimated total cost using the cost equation from Requirement $4$ would be