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Expert: - 1/30/2009


Question
hi

can u please help solve this problem showing in detail the calculation

Kleen Karpet cleaned 65 rugs in October, consuming the following resources:
Labor:       520 hours at $13 per hour
Solvent:    100 gallons at $5 per gallon
Machine rental:    20 days at $50 per day
a)   What is the labor productivity?
b)   What is the multifactor productivity?


thank you for your help

waiting for your reply asap

take care

regards

Answer
Labor productivity is defined to be the
ratio between output versus input.

There were 520 hours at $13 an hour, so
502 hours * $13/hour = $6526, with the hours cancelling.

In (a), only use the labor costs.  To do (a), use $6,526 instead
of $7,026 and follow what you see in my answer to (b).

In (b), use all of the costs, which we will do as follows:

Now 100 gallons at $5 per gallon
100 gallons * 5$ / gallon = $500, with the gallons cancelling.

The machine rental was $50 per day for 20 days, so that
($50 / day) 20 days = $1,000, the days cancelling.

b) The input was the sume of $6526, $500, and %1,000,
which is $7,026.

The output is unknow, since I don't see how much it cost per rug.

If it was $120/rug, the 65 rugs would be 65 rugs * $120 / rug =
$7,800, and then the ratio would be 7,800/7,026 = 1.11, so only a
little over 10% profit.  If the people were more interested in money
than this, they might charge $150 / rug.  The profit would then
be 65*$150 = $9,750.  Divide 9,750/7,026 and you get 1.39, so here
the profit would be almost 40%.  Now if the people were greeedy,
they might charage $200 / rug, so the money made would be
$200 * 95 = $19,000.  Taking 19,000 / 6526 gives a labor
productivity quotient of around 1.85, which would be 85% profit.  
Now that wouldn't be bad, but the customers might go looking for
somewhere else to do business.  

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