A housecleaning company receives $25 for each house cleaned.The table below gives the relation between the number of workers and the number of houses that can be cleaned per week. Based on the above info,if the wage rate of a housecleaner is $130,what is the maximum amount of profit the company can earn?

Question

A housecleaning company receives $25 for each house cleaned.The table below gives the relation between the number of workers and the number of houses that can be cleaned per week.  Based on the above info,if the wage rate of a housecleaner is $130,what is the maximum amount of profit the company can earn?

Quizplus · Accepted Answer

First, we need to find out how many houses can be cleaned with 5 workers by checking the table: 20 houses.
Then, we can calculate the revenue by multiplying the number of houses by the amount received per house: $25 x 20 houses = $500.
Next, we need to calculate the expense by multiplying the number of workers by their wage rate: $130 x 5 workers = $650.
Finally, we can calculate the profit by subtracting the expense from the revenue: $500 - $650 = -$150.
Since the profit is negative, it means that the company is not making any profit, but actually losing money. We need to find the number of workers that will allow the company to make a profit: 6 workers.
With 6 workers, the company can clean 23 houses, which will generate a revenue of $575 ($25 x 23 houses).
The expense will be $780 ($130 x 6 workers).
The profit will be $575 - $780 = -$205.
Again, the profit is negative, which means the company is still not making a profit.
The only option left is to try with 7 workers.
With 7 workers, the company can clean 25 houses, which will generate a revenue of $625 ($25 x 25 houses).
The expense will be $910 ($130 x 7 workers).
The profit will be $625 - $910 = -$285.
Once again, the profit is negative, but this time it is the highest. This means that the company will lose the least amount of money with 7 workers, making it the best choice. 
So, the maximum amount of profit the company can earn is -$285, which is option C.

A Housecleaning Company Receives $25 for Each House Cleaned