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?

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. Question 34: To calculate the elasticity of supply, we use the formula for point elasticity of supply: PES = (Q_2 - Q_1)/(Q_1)(P_2 - P_1)/(P_1) Step 1: Identify the given values. P_1 = 500 frs CFA P_2 = 650 frs CFA Q_1 = 950 packets Q_2 = 1400 packets Step 2: Calculate the percentage change in quantity supplied. \% Q = (Q_2 - Q_1)/(Q_1) = (1400 - 950)/(950) = (450)/(950) ≈ 0.4737 Step 3: Calculate the percentage change in price. \% P = (P_2 - P_1)/(P_1) = (650 - 500)/(500) = (150)/(500) = 0.30 Step 4: Calculate the Price Elasticity of Supply (PES). PES = (0.4737)/(0.30) ≈ 1.579 Rounding to two decimal places, the elasticity of supply is approximately 1.58. C) 1.58 Question 35: To calculate the cross elasticity of demand for petrol, we use the formula: XED = Q_P2 - Q_P1Q_P1P_C2 - P_C1P_C1 Step 1: Identify the given values. P_C1 = 3,000,000 (initial price of cars) P_C2 = 2,300,000 (new price of cars) Q_P1 = 1800 litres (initial quantity of petrol demanded) Q_P2 = 2600 litres (new quantity of petrol demanded) Step 2: Calculate the percentage change in quantity demanded of petrol. \% Q_P = Q_P2 - Q_P1Q_P1 = (2600 - 1800)/(1800) = (800)/(1800) ≈ 0.4444 Step 3: Calculate the percentage change in the price of cars. \% P_C = P_C2 - P_C1P_C1 = (2,300,000 - 3,000,000)/(3,000,000) = (-700,000)/(3,000,000) ≈ -0.2333 Step 4: Calculate the Cross Elasticity of Demand (XED). XED = (0.4444)/(-0.2333) ≈ -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 Question 36: To calculate the Price Elasticity of Demand (PED) for bread, we use the formula: PED = | (Q_2 - Q_1)/(Q_1)(P_2 - P_1)/(P_1) | Step 1: Identify the given values. P_1 = 250 frs CFA P_2 = 300 frs CFA Q_1 = 1100 loaves Q_2 = 800 loaves Step 2: Calculate the percentage change in quantity demanded. \% Q = (Q_2 - Q_1)/(Q_1) = (800 - 1100)/(1100) = (-300)/(1100) ≈ -0.2727 Step 3: Calculate the percentage change in price. \% P = (P_2 - P_1)/(P_1) = (300 - 250)/(250) = (50)/(250) = 0.20 Step 4: Calculate the Price Elasticity of Demand (PED). PED = | (-0.2727)/(0.20) | ≈ |-1.3635| ≈ 1.36 Rounding to two decimal places, the PED is approximately 1.36. C) 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 3 done, 2 left today. You're making progress.