Question

A cleaning company uses 10 lbs each of chemicals A, B and C for each house it cleans. After some quality complaints, the company has decided to increase its use of chemical A by an additional 10 lbs for each house. By what % has productivity (houses per pound of chemical) fallen?

Answer 1

Answer:

25%

Step-by-step explanation:

Let us first derive an equation for the productivity.

Given

No. of houses = 1 (Assumption)

Amount of Chemicals = 30 (10 x A, B, C)

Now the formula for productivity is as follow

Productivity % (P) = (Output/Input) * 100

Assuming the current productivity is 100%. We get the value for required output but using the value of 30 (Amount of Chemicals) as Input

$100 = \frac{x}{30}*100\\ x = 30$

Since we now know the value for desired output. We replace the value of input by 40, since 10 lbs of Chemicals have been increased per house.

$Productivity(P) = \frac{30}{40}*100\\ Productivity(P) = 75$

The new Productivity is 75%

There is a reduction of 25% in productivity