The following data pertain to products A and B, both of which are purchased by Madame X. Initially, the prices of the products and quantities consumed are: PA = $10, QA = 3, PB = $10, QB = 7. Madame X has $100 to spend per time period. After a reduction in price of B, the prices and quantities consumed are: PA = $10, QA = 2.5, PB = $5, QB = 15. Assume that Madame X maximizes utility under both price conditions above. Also, note that if after the price reduction enough income were taken away from Madame X to put her back on the original indifference curve, she would consume this combination of A and B: QA = 1.5, QB = 9 Determine the change in consumption rate of good B due to (1) the substitution effect and (2) the income effect. Determine if product B is a normal, inferior, or Giffen good. Explain.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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  1. The following data pertain to products A and B, both of which are purchased by Madame X. Initially, the prices of the products and quantities consumed are: PA = $10, QA = 3, PB = $10, QB = 7.

Madame X has $100 to spend per time period. After a reduction in price of B, the prices and quantities consumed are:

PA = $10, QA = 2.5, PB = $5, QB = 15.

Assume that Madame X maximizes utility under both price conditions above. Also, note that if after the price reduction enough income were taken away from Madame X to put her back on the original indifference curve, she would consume this combination of A and B:

QA = 1.5, QB = 9

  1. Determine the change in consumption rate of good B due to (1) the substitution effect and (2) the income effect.
  2. Determine if product B is a normal, inferior, or Giffen good. Explain.
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