Question

brage is offered to wash cars for 7 hours on Saturdays instead of working two evenings a week. He is offered NOK 700 as a fixed salary and NOK 100 in addition for each car he washes. How many cars must Brage wash for it to be profitable to wash cars on Saturdays

Answer 1

Explanation:

To determine how many cars Brage must wash for it to be profitable to wash cars on Saturdays, we need to compare the earnings he would make by washing cars on Saturdays to what he would have earned by working two evenings a week.

First, let's calculate Brage's earnings for working two evenings a week:

Let E be his hourly rate in the evenings.

Earnings for one evening = E * number of hours worked in the evening

Earnings for two evenings = 2 * (E * number of hours worked in one evening)

Now, let's calculate his earnings for washing cars on Saturdays:

Fixed salary for Saturday work = NOK 700

Additional earnings for washing cars = NOK 100 per car washed

To make washing cars on Saturdays profitable, his Saturday earnings must be greater than or equal to the earnings he would make by working two evenings a week.

So, we can write the equation:

700 + 100 * C ≥ 2 * (E * number of hours worked in one evening)

Where:

C is the number of cars Brage must wash.

E is his hourly rate in the evenings.

Now, you need to determine the value of E (his hourly rate in the evenings) to solve for C. Without knowing the hourly rate in the evenings, we cannot provide a specific value for the number of cars Brage must wash. If you have the value of E, you can plug it into the equation and solve for C.