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The demand curve for product X is given by Q X d = 460 - 4P X . a. Find the inve

ID: 1168358 • Letter: T

Question

The demand curve for product X is given by QXd = 460 - 4PX.

a. Find the inverse demand curve.

PX = - QXd

Instructions: Round your answer to the nearest penny (2 decimal places).

b. How much consumer surplus do consumers receive when Px = $35?

$

c. How much consumer surplus do consumers receive when Px = $25?

$

d. In general, what happens to the level of consumer surplus as the price of a good falls?

The level of consumer surplus (Click to select)doesn't changeincreasesdecreases as the price of a good falls.

Explanation / Answer

a)   QXd = 460 - 4PX.

Px =115 -.25Qd

b)

Qd =460 -4*35

=460 -140

=320

CS = .5 (115 -36)*320

=12,640

c) Q =460 -4*25

=360

CS =.5(115-25)*360

=32,400

d) When the price falls, the consumer surplus increases since consumer is able to consume more quantity.

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