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Black_prince [1.1K]
4 years ago
11

Suppose the observed annual quantity of steel exchanged in the European market is 30 million metric tons, and the observed marke

t price is 90 euros per ton. If the price elasticity of demand for steel is -0.3 in Europe, what is an appropriate value for the price coefficient (b) in a linear demand function Q
Business
1 answer:
VARVARA [1.3K]4 years ago
5 0

Answer:

-0.10

Explanation:

To calculate this, we us the formula for calculating elasticity of demand (E) relevant for the demand equation as follow:

E = (P / Q) * (dQ / dP) .............................. (1)

Where,

Q = 30

P = 90

E = -0.3

dQ / dP = b = ?

We then substitute all the value into equation (1) and have:

-0.3 = (90 / 30)  * b

-0.3 = 3 * b

b = -0.3 /3

b = -0.10

Therefore, appropriate value for the price coefficient (b) in a linear demand function Q is  -0.10.

NB:

Although this not part of the question, but note that how the linear demand function will look can be obtained by first solving for the constant term (a) as follows:

Q = a - 0.10P

Substituting for Q and P, we can solve for a as follows:

30 = a – (0.1 * 90)

30 = a – 9

a = 30 + 9 = 39

Therefore, the linear demand equation can be stated as follows:

Q = 39 – 0.1P

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