Answer: See explanation
Explanation:
a. Let the break even sales be represented by x.
Firstly, we will calculate the total fixed cost which will be:
Investment = $4.5million/30 = $150,000
Add: Annual labor cost = $140,000
Add: Interest = 8% × $4.5million = $360,000
Total Fixed cost = $650000
The total variable cost will be: = 0.60 × x = 0.60x
Therefore, total cost:
= fixed cost + variable cost
= 650000 + 0.60x
Total revenue = Selling price × sales
= 3.20 × x = 3.20x
Break even point will now be:
Total revenue = Total cost
3.20x = 650000 + 0.60x
3.20x - 0.60x = 650000
2.60x = 650000
x = 650000/2.60
x = 250000
Therefore, number of cars that would have to park in the lot on an annual basis to pay off the project is 250000.
b. The approximate number of cars that would have to park in the lot on a daily basis will be:
= 250000/365 days
= 684.91
=685 cars