Gulf Shore Lawn and Garden Maintenance provides two general outdoor services: lawn maintenance and garden maintenance. The company charges customers $$25\mathrm{.}0$ per hour for each type of service, but lawn maintenance has higher variable costs $($$$15\mathrm{.}0$ per hour$)$ than garden maintenance $($$$7\mathrm{.}5$ per hour$)$ because of fuel expenses incurred to operate lawn$-$mowing equipment. All employees are paid a fixed monthly salary. A contribution format income statement for a recent month for the two services appears below. During the month, $8,000$ hours of lawn maintenance services and $2,000$ hours of garden maintenance were provided:

Lawn

Maintenance Per

Hour Garden

Maintenance Per

Hour Total

Sales $ $200,000$ $ $25\mathrm{.}0$ $ $50,000$ $ $25\mathrm{.}0$ $ $250,000$

Variable expenses $120,00015\mathrm{.}015,0007\mathrm{.}5135,000$

Contribution margin $ $80,000$ $ $10\mathrm{.}0$ $ $35,000$ $ $17\mathrm{.}5115,000$

Fixed expenses $32,200$

Operating income $ $82,800$

Required:

$1.$ Compute the overall CM ratio for the company.

$2.$ Compute the overall break$-$even point for the company in sales dollars.

$3.$ Compute the weighted$-$average CM per hour for the company. $($Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$

$4.$ Calculate the overall break$-$even point for the company in hours.

$5.$ At the overall break$-$even point in total hours, how many hours of each service must be provided for the company to break$-$even?

$6.$ Calculate the overall sales in dollars required to earn an after$-$tax profit of $$76,160$ if the tax rate is $30\%.$