3. Use an appropriate diagram, with exponential growth of population and linear growth of food, to demonstrate the Malthusian theory in each of the following scenarios. Assume a Malthusian world and explain the effect on per-capita wealth over time. In your diagram, 'Time' should be on the horizontal axis and 'Quantity' should be on the vertical axis. Explain your reasoning in each case. ( 5 % each) (a) Solid public hygiene policies are adopted, and people's cultural values shift towards more cleanliness. (b) A genocide destroys 25 percent of the population. (c) A medicine is developed which sterilizes 90 percent of the population. (d) The Industrial Revolution occurs, causing food and resource growth to become exponential, outpacing population growth. 4. In each of the following cases, explain clearly how the CPI might misrepresent changes in consumer prices (Commodity substitution bias, Introduction of new goods, or Unmeasured quality changes). In each case, speculate as to whether CPI overstates or understates consumer expenses. (5% each) (a) By 1990, expensive personal computers became a common expenditure in consumers 'baskets. However, some governments were still calculating the consumer's basket using a 1975 survey. (b) Between 200? and 2015, there were significant improvements in smartphones. (c) Compared to 19370, households in 2015 took more vacations. (d) Food quality has deteriorated over time, even as consumers purchase the same amount