Using the midpoints method, calculate the price elasticity of demand of good x using the following information: when the price of good x is $50, the quantity demanded of good x is 400 units. when the price of good x rises to $60, the quantity demanded of good x falls to 300 units.

a. the price elasticity of demand for good x -123 e
b. the price elasticity of demand for good x -1.57.
c. the price elasticity of demand for good x-0.64

Explanation:

In response to the price rise from $50 to $60, the quantity demanded of product X  drops from 400 to 300 units. We know that price elasticity of demand is a measure of the responsiveness of changes in demand as a result of a price change. Thus,

% change in price =

          = = 0.1818

% Change in Quantity demanded

=

=

= -0.2857

Thus,

Price elasticity of demand =

=

= -1.5715

Therefore, the price elasticity of demand = -1.5715

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"we first find value of tax in dollars.

the difference between the two prices   is: 23. 54 - 22 = 1.54

therefore the sales tax in dollars is 1.54

the tax % will be   (amount of tax / original cost price ) × 100

(1.54 / 22) × 100  → (0.07) × 100 =   7

so the tax rate is 7%

we can double check the answer.

7 % of 22   → (7/100) × 22 → 0.07 × 22 = 1.54

22 + 1.54 = 23.54"