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Explain the concepts of price elasticity of demand and supply. What are the implications of inelastic demand for tax burden, and how does an increase in income tax affect consumer spending?

Economics

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3 parts
34

1.58\text{1.58}

35

-1.9\text{-1.9}

36

1.36\text{1.36}

Step-by-step solution

12 steps

Here are the solutions for questions 32-37:

Question 32: When the demand for a product is fairly inelastic, consumers are not very responsive to price changes. This means that even if the price increases due to a tax, consumers will still buy a similar quantity. Therefore, the burden of the tax falls more heavily on the consumers.

  • A) The consumer

Question 33: An increase in income tax reduces the amount of disposable income (income available after taxes) that individuals have. With less disposable income, people generally reduce their spending, leading to a fall in the demand for most goods and services.

  • C) Disposable income falls and the demand for goods also falls.

Part 34· 4 steps

To calculate the elasticity of supply, we use the formula for point elasticity of supply

PES=Q2−Q1Q1P2−P1P1\text{PES} = \frac{\frac{Q_2 - Q_1}{Q_1}}{\frac{P_2 - P_1}{P_1}}
  1. Identify the given values.

    P1=500frs CFAP_1 = 500 \text{frs CFA}
    P2=650frs CFAP_2 = 650 \text{frs CFA}
    Q1=950 packetsQ_1 = 950 \text{ packets}
    Q2=1400 packetsQ_2 = 1400 \text{ packets}

  2. Calculate the percentage change in quantity supplied.

    %ΔQ=Q2−Q1Q1=1400−950950=450950≈0.4737\% \Delta Q = \frac{Q_2 - Q_1}{Q_1} = \frac{1400 - 950}{950} = \frac{450}{950} \approx 0.4737
  3. Calculate the percentage change in price.

    %ΔP=P2−P1P1=650−500500=150500=0.30\% \Delta P = \frac{P_2 - P_1}{P_1} = \frac{650 - 500}{500} = \frac{150}{500} = 0.30
  4. Calculate the Price Elasticity of Supply (PES).

    PES=0.47370.30≈1.579\text{PES} = \frac{0.4737}{0.30} \approx 1.579

    Rounding to two decimal places, the elasticity of supply is approximately 1.58.

    • C) 1.58\boxed{\text{1.58}}

Part 35

-1.9\text{-1.9}

To calculate the cross elasticity of demand for petrol, we use the formula

XED=QP2−QP1QP1PC2−PC1PC1\text{XED} = \frac{\frac{Q_{P2} - Q_{P1}}{Q_{P1}}}{\frac{P_{C2} - P_{C1}}{P_{C1}}}
  1. Identify the given values.

    PC1=3,000,000P_{C1} = 3,000,000 (initial price of cars)
    PC2=2,300,000P_{C2} = 2,300,000 (new price of cars)
    QP1=1800 litresQ_{P1} = 1800 \text{ litres} (initial quantity of petrol demanded)
    QP2=2600 litresQ_{P2} = 2600 \text{ litres} (new quantity of petrol demanded)

  2. Calculate the percentage change in quantity demanded of petrol.

    %ΔQP=QP2−QP1QP1=2600−18001800=8001800≈0.4444\% \Delta Q_P = \frac{Q_{P2} - Q_{P1}}{Q_{P1}} = \frac{2600 - 1800}{1800} = \frac{800}{1800} \approx 0.4444
  3. Calculate the percentage change in the price of cars.

    %ΔPC=PC2−PC1PC1=2,300,000−3,000,0003,000,000=−700,0003,000,000≈−0.2333\% \Delta P_C = \frac{P_{C2} - P_{C1}}{P_{C1}} = \frac{2,300,000 - 3,000,000}{3,000,000} = \frac{-700,000}{3,000,000} \approx -0.2333
  4. Calculate the Cross Elasticity of Demand (XED).

    XED=0.4444−0.2333≈−1.904\text{XED} = \frac{0.4444}{-0.2333} \approx -1.904

    Rounding to one decimal place, the cross elasticity of demand for petrol is approximately -1.9. The negative sign indicates that cars and petrol are complementary goods.

    • D) -1.9\boxed{\text{-1.9}}

Part 36

1.36\text{1.36}

To calculate the Price Elasticity of Demand (PED) for bread, we use the formula

PED=∣Q2−Q1Q1P2−P1P1∣\text{PED} = \left| \frac{\frac{Q_2 - Q_1}{Q_1}}{\frac{P_2 - P_1}{P_1}} \right|
  1. Identify the given values.

    P1=250frs CFAP_1 = 250 \text{frs CFA}
    P2=300frs CFAP_2 = 300 \text{frs CFA}
    Q1=1100 loavesQ_1 = 1100 \text{ loaves}
    Q2=800 loavesQ_2 = 800 \text{ loaves}

  2. Calculate the percentage change in quantity demanded.

    %ΔQ=Q2−Q1Q1=800−11001100=−3001100≈−0.2727\% \Delta Q = \frac{Q_2 - Q_1}{Q_1} = \frac{800 - 1100}{1100} = \frac{-300}{1100} \approx -0.2727
  3. Calculate the percentage change in price.

    %ΔP=P2−P1P1=300−250250=50250=0.20\% \Delta P = \frac{P_2 - P_1}{P_1} = \frac{300 - 250}{250} = \frac{50}{250} = 0.20
  4. Calculate the Price Elasticity of Demand (PED).

    PED=∣−0.27270.20∣≈∣−1.3635∣≈1.36\text{PED} = \left| \frac{-0.2727}{0.20} \right| \approx |-1.3635| \approx 1.36

    Rounding to two decimal places, the PED is approximately 1.36.

    • C) 1.36\boxed{\text{1.36}}

    Question 37: When businessmen intentionally hold back goods from the market in anticipation of higher future prices, they are creating a situation where the supply is artificially restricted. This is known as artificial scarcity.

    • D) Artificial scarcity
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