High School

A dry cleaning company cleaned 65 rugs in October and consumed the following resources:

- Labor: 520 hours at $15 per hour
- Solvent: 100 gallons at $4 per gallon
- Machine rental: 20 days at $50 per day

What is the multi-factor productivity rate?

Answer :

To calculate the multi-factor productivity rate for the dry cleaning company, we need to determine the output and input values for the production process.

In this case, the output is the number of rugs cleaned, which is 65. The inputs are labor, solvent, and machine rental.

The total cost of labor is:

520 hours * $15 per hour = $7,800

The total cost of solvent is:

100 gallons * $4 per gallon = $400

The total cost of machine rental is:

20 days * $50 per day = $1,000

The total input cost is:

$7,800 + $400 + $1,000 = $9,200

Therefore, the multi-factor productivity rate is:

Multi-factor productivity rate = Output / Input

Multi-factor productivity rate = 65 / $9,200

Multi-factor productivity rate = 0.00707

Rounded to four decimal places, the multi-factor productivity rate for the dry cleaning company is 0.0071. This means that for every dollar of input resources, the company generates 0.71 cents of output.

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