Question

4. (6 points) Suppose the Demand for baseballs is given by Q = 120 - 4P. a) What is the price elasticity of demand when P= 10
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Answer #1

a. Price elasticity of demand = -0.43

P

Q

% Change in P

% Change in Q

Ed

9

84

10

80

=((10-9)/9)=0.11

= ((80-84)/84)=-0.05

-0.43

b. Total Revenue gets maximized at a price equal to 15

P

Q

TR

0

120

0

5

100

500

10

80

800

15

60

900

20

40

800

25

20

500

30

0

0

c.

TR = Q*P = (120-4P)P = 120P-4P^2
MR = 120-8P

So, at a price = 12,

MR = 120-8*12 = 24

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