Question
Question: Your family recently began operating a car wash at a beach resort. There are many other car washes at this beach resort. You have
Question:
Your family recently began operating a car wash at a beach resort. There are many other car washes at this beach resort. You have observed that the customers care only about finding the cheapest price for car washes; they do not care which company they use. Your family purchased the equipment and the building for the car wash. They spent $1,000 of their savings to go towards this purchase. To cover the rest of this expense, they took out a small business loan. The cost of the loan comes to $15 per day for the next 3 years. The business must hire labor and purchase cleaning solutions, car wax, etc. to operate the car wash. After some research you have figured out that the cost for labor and supplies is as follows:
1. Use the information above to calculate total costs, average variable costs, and average total costs.(Hint: Identify fixed costs. Use fixed costs and variable costs to calculate total costs first.)
Assume the profit-maximizing price for each car wash is equal to marginal cost.
If price drops below average variable cost, the car wash should shut down.
When the beach resort is in-season, you have observed that you can charge a price of $14.00 per car wash. When the resort is off-season, the demand for car washes is much lower. You only able to charge a price of $4.67 per car wash. Right now the resort is in-season. Currently you are selling 17 car washes per day.
2. Using your calculated costs, draw a graph demonstrating the relevant production costs (average variable, total variable and marginal) of your car wash.(Hint: only apply the relevant numbers from your table, don't try to include all numbers.) Clearly label all axes and lines.
3. Your family needs your advice. Provide one recommendation for how your family can improve profits during the in-season and one recommendation of how to increase efficiency in the off-season.
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