In spending all his income on beer and pizza, fred finds that the marginal utility of the last pizza he consumed is 8, and the marginal utility of the last bottle of beer is 4. the price of a bottle of beer is $1.50. if fred has maximized his utility, the price of pizza must be:

5. understanding marginal and average tax rates consider the economy of citronia, where citizens consume only oranges. assume that oranges are priced at $1 each. the government has devised the following tax plans: plan a • consumption up to 1,000 oranges is taxed at 50%. • consumption higher than 1,000 oranges is taxed at 20%. plan b • consumption up to 2,000 oranges is taxed at 15%. • consumption higher than 2,000 oranges is taxed at 60%. use the plan a and plan b tax schemes to complete the following table by deriving the marginal and average tax rates under each tax plan at the consumption levels of 300 oranges, 1,200 oranges, and 3,000 oranges, respectively. consumption level plan a plan b (quantity of oranges) marginal tax rate average tax rate marginal tax rate average tax rate (percent) (percent) (percent) (percent) 300 1,200 3,000 complete the following table by indicating whether each plan is a progressive tax system, a proportional tax system, or a regressive tax system. progressive proportional regressive plan a plan b