Question

In: Economics

5. John the plumber has the following weekly demand for repairs by his business: Q =...

5. John the plumber has the following weekly demand for repairs by his business: Q = 2,000 – 10(P) Q = quantity of repairs demanded by customers per week. P = average price per repair. John chooses the price to charge to his customers (cause). The result (effect) will be the total number of repairs his customers want per week.

A. Draw the demand curve faced by John the plumber. Numerically label its two end points. B. Create the table of numbers: P Q TR MR P = average price per repair. You may skip numbers for price changes by $10 at a time. TR = Total Revenue = PQ MR = Marginal Revenue = (change in TR)/(change in Q) Draw the MR curve on the diagram, as well/ C. The MC (Marginal Cost) to John per repair is $20. What price (P) will be charged per repair, and how many repairs (Q) per week? Show it on your diagram with solved numbers. D. Label the Consumer Surplus on your diagram. Define Consumer Surplus, as well.

Solutions

Expert Solution

A) Demand curve faced by John ,the plumber----

Price($) quantity demanded( units)
100 1000
110 900
120 800
130 700

See the demand graph------

B) Table------

Price $ Q

TR($)

p*Q

MR MC
100 1000 100000 - 20
110 900 99000 20 20
120 800 96000 30 20
130 700 91000 50 20
140 600 84000 70 20


C) MR curve along with demand curve and MC-----

The equilibrium point will occur----

where M R=MC

Have. Look at the graph in part (A), we find that -----

both are equal(20) at units of 900

# price to be charged per repair=$110 (see above graph)

# Repairs per week= 900

D) Consumers surplus(CS)---- $40500

CS is the difference between what the consumers are willing to pay and what they actually pay

formula=1/2* Q* (wTP--P)

1/2(900)(200-110)=$40500


The shaded area pink depicts the consumers surplus.


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