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posted by  Geff on 11/11/2009 10:37:00 PM  |  status: Closed  |  Earned Karma: 25

market equilibrium price/output combination.

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N/A N/A N/A N/A 11/12/2009 at 9:00:00 AM
Question Details:

1. Office building maintenance plans call for the stripping, waxing, and buffing of ceramic floor tiles. This work is contracted out to office maintenance firms, and both technology and labor requirements are very basic.

     Supply and demand conditions in this perfectly competitive service market in New York are:

QS = 2P - 20

(Supply)

QD = 80 - 2P

(Demand)

 - where Q is thousands of hours of floor reconditioning per month, and P is the price per hour.

A.

Algebraically determine the market equilibrium price/output combination.

B.

Use a graph to confirm your answer.

For the graph, use prices: 10, 20,30,40,50,60,70,80,90

and Quantities:5,10,15,20,25,30,35,40,45,50,55,60,65

1. Office building maintenance plans call for the stripping, waxing, and buffing of ceramic floor tiles. This work is contracted out to office maintenance firms, and both technology and labor requirements are very basic.

     Supply and demand conditions in this perfectly competitive service market in New York are:

QS = 2P - 20

(Supply)

QD = 80 - 2P

(Demand)

 - where Q is thousands of hours of floor reconditioning per month, and P is the price per hour.

A.

Algebraically determine the market equilibrium price/output combination.

B.

Use a graph to confirm your answer.

For the graph, use prices: 10, 20,30,40,50,60,70,80,90

and Quantities:5,10,15,20,25,30,35,40,45,50,55,60,65

Tags: Economics
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AAnswers:

Answer Question Ask for clarification
posted by Michael the T.A. on 11/12/2009 9:58:24 AM  |  status: Live
Asker's Rating: Lifesaver   
Response Details:
1. A. First, solve for equilibrium price and quantity.  Do that by setting Qs=Qd.
      2P-20=80-2P -> put all the P's to one side, the round numbers to the other. 
      Thus 4P = 100 -> solve for P by dividing by 4 on both sides
      Thus P =25 and 25 is your equilibrium price
   Solve for Q by plugging P into either equation
   Qs=2(25)-20=50-20=30       Qd=80-2(25)=80-50=30
   Thus Q=30
The equilibrium Price and Quantity are $25/hr and 30,000 hours per month
B.  Do a quick demand and supply schedule for the given prices.  Just plug in the given prices to the equation.
Price         Qd         Qs
10              60         0
20              40         20
30               20         40
40               0            60
50             -20 (omit) 80
60            -40(omit)   100
70            -60(omit)   120
80            -80(omit)   140
90            -100(omit)   160
Now, plot those points on a graph, and you'll see the lines intersect at P=25 and Q=30.
Answer Question Ask for clarificarion

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