$[$The following information applies to the questions displayed below.$]$Morning Dove Company manufactures one model of birdbath, which is very popular. Morning Dove sells all units it produces each month. The relevant range is $0$ to $1,600$ units, and monthly production costs for the production of $1,200$ units follow. Morning Doves utilities and maintenance costs are mixed with the fixed components shown in parentheses.Production CostsTotal CostDirect materials$ $2,900$Direct labor$6,500$Utilities $($$$120$ fixed$)550$Supervisors salary$3,200$Maintenance $($$$290$ fixed$)550$Depreciation$750$Required:Identify each cost as variable, fixed, or mixed, and express each cost as a rate per month or per unit $($or combination thereof$).$Determine the total fixed cost per month and the variable cost per unit for Morning Dove.State Morning Doves linear cost equation for a production level of $0$ to$1,600$ units. Enter answer as an equation in the form of y $=$ a $+$ bx$.$Calculate Morning Doves expected total cost if production increased to $1,400$ units per month. Enter answer as an equation in the form of y $=$ a $+$ bx$.$