Q3 (10 points total)
The owner of a successful pet grooming salon wants to install an additional dog grooming station. The owner predicts an additional 35 customers per month. The potential profit is high: Additional revenue per customer would be C40, while additional costs are just labor at C24 per customer. But the installation costs of the grooming station are also high: (5200.
(a) (4) Find the break-even point for the additional grooming station, represented in number of customers.
(b) (4) Find the coordinates for the point of intersection of total revenue and total cost of the hair trimming station.
(c) (2) Can the owner recover the cost of the additional grooming station within 6 months? If not, how many months would it take? (One decimal place in your answer is enough. e.g.: 2.1)