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Q: Economics MRP = W ( No Answer,   1 Comment )
Question  
Subject: Economics MRP = W
Category: Reference, Education and News
Asked by: bildy-ga
List Price: $4.00
Posted: 29 Apr 2004 15:52 PDT
Expires: 02 May 2004 14:56 PDT
Question ID: 338504
Please show all work and be as thorough as possible as this will be
used to study for my final economics exam which I will be taking in a
few days.  Thansk.

Suppose a firm sells its output in a market that is not perfectly
competitive and can produce five different daily output levels:  300,
400, 500, 600, or 700.  The firm has the following daily demand
schedule, along with indicated labor requirements for each output
level:
P          Q          Labor
10        300           5
9         400           9
8         500           15
7         600           22
6         700           30
The firm hires its labor in a competitive market so the wage is set at
$65 per day.  Use the MRP = W rule to find the firms profit maximizing
employment level, price of output, and daily output level.

Clarification of Question by bildy-ga on 01 May 2004 16:39 PDT
Anyone have any suggestions?
Answer  
There is no answer at this time.

Comments  
Subject: Re: Economics MRP = W
From: njbagel-ga on 01 May 2004 22:56 PDT
 
It has been many years since I have taken economics, however, I think
I may have the answer to your question.  First, look at these numbers:

Labor	Qnty    Price   Revenue Cost   Marginal  Marginal Return on Product 
        Produced                of     cost of
                                Labor  Labor 				
5	300	10	3000	325		
9	400	9	3600	585	260	600
15	500	8	4000	975	390	400
22	600	7	4200	1430	455	200
30	700	6	4200	1950	520	200

As you can see, with 5 workers, we can produce 300 units at a price of
10 bucks each.  This will produce a revenue of 3000 dollars.  The
total cost of labor at this point is 325 dollars.

If we increase our number of workers to 9, we will produce 400 units
at a price of 9 dollars each and produce revenues of 3600.  The total
cost of labor is 585 (9 * 65); and the marginal cost of labor is 260
(585-325).  The MRP, or marginal revenue product, is 600 (simply 3600
- 3000).  Since the cost of workers (W) is less than the MRP, this is
a good deal.  Simply stated, we are it is costing us an additional 260
dollars in wages to make an additional 600 dollars.

With fifteen workers, it costs us an additional 390 dollars in wages
to bring in 400 dollars.  W is still less than MRP.  So this is a
pretty good deal.

At 22 workers, it is now costing us an additional 455 dollars in wages
to make an additional 200 dollars.  This is NOT a very good scenario
because we are paying more than we are able to recoup.

As such, the firm's profit-maximizing employment level is 15.  The
profit-maximizing price of output is 8 dollars.  The profit-maximizing
daily output level is 4000 units.

The basic idea is that the firm should continue increasing the number
of workers until the added cost is equal to the MRP.

I hope this is helpful and correct.  Maybe another member can comment
on the accuracy of my reasoning.

-d

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