Respuesta :
Answer:
It will take the bakery 2.875 hours to make back the amount invested.
The total expenses and receipts, both will = $112.125
Step-by-step explanation:
Given:
Cost of equipment = $69
Operation cost per hour = $15
Average hourly receipts = $39
To find how many hours will it take for the Bakery to make back the amount invested and what would the total expenses and receipts both equal
Solution:
Let the bakery take [tex]t[/tex] hours to make back the amount invested.
Operation cost for [tex]t[/tex] hours in dollars will be = [tex]15t[/tex]
Equipment cost = $69
Total expenses in dollars can be given as = [tex]15t+69[/tex]
Receipts for [tex]t[/tex] hours in dollars will be = [tex]39t[/tex]
Since the bakery makes up the amount invested in [tex]t[/tex] hours, so the amount in expenses must be equal to the total receipts for [tex]t[/tex] hours.
Thus, we have:
[tex]39t=15t+69[/tex]
Subtracting both sides by [tex]15t[/tex]
[tex]39t-15t=15t-15t+69[/tex]
[tex]24t=69[/tex]
Dividing both sides by 24.
[tex]\frac{24t}{24}=\frac{69}{24}[/tex]
∴ [tex]t=2.875[/tex]
So, in 2.875 hours the bakery will be able to make back all the investment.
Total expenses in 2.875 hours will be = [tex]15(2.875)+69=43.125+69=\$112.125[/tex]
Total receipts will be the same and can be given as = [tex]39\times 2.875 = \$112.125[/tex]
