The national income distribution in Ghana in 2016 follows a Lorenz curve y = L(x) which passes through these points: x 0 0.2 0.4 0.6 0.8 1 y 0 0.047 0.143 0.291 0.514 1 Use the Trapezoid Rule to estimate the GINI Index for Ghana in 2016. The national income distribution in the United States in 2016 follows a Lorenz curve y = L(x) which passes through these points: x 0 0.2 0.4 0.6 0.8 1 y 0 0.05 0.152 0.305 0.531 1 Use the Trapezoid Rule to estimate the GINI Index for the United States in 2016. Compared with Ghana, was the income distribution in the United States in 2016 more equal or less equal? less equal more equal Data for this problem is provided by Poverty and Equity database, The World Bank

4. suppose that pollution in a neighborhood comes from two factories, with marginal benefit curves given by mb1 = 12 – p1 and mb2 = 8 – p2. the level of pollution in the neighborhood is given by p = p1 + p2. the government wants to limit pollution by instituting a pollution-rights market. the government’s desired level of p is 10, so it prints 10 pollution rights and offers them for sale to the firms.a)find the equilibrium selling price of a pollution right, as well as the allocation of rights (and hence pollution levels) across the two factories. b)repeat part (a) for the case where the government’s desired level of pollution equals 14. c)comment on the usefulness of a pollution rights market in achieving efficient levels of pollution abatement.

At april 1, 2019, the food and drug administration is in the process of investigating allegations of false marketing claims by hulkly muscle supplements. the fda has not yet proposed a penalty assessment. hulkly’s fiscal year ends on december 31, 2018. the company’s financial statements are issued in april 2019. required: for each of the following scenarios, determine the appropriate way to report the situation. 1. management feels an assessment is reasonably possible, and if an assessment is made an unfavorable settlement of $13 million is reasonably possible. 2. management feels an assessment is reasonably possible, and if an assessment is made an unfavorable settlement of $13 million is probable. 3. management feels an assessment is probable, and if an assessment is made an unfavorable settlement of $13 million is reasonably possible. 4. management feels an assessment is probable, and if an assessment is made an unfavorable settlement of $13 million is probable.

Acompany manufactures x units of product a and y units of product b, on two machines, i and ii. it has been determined that the company will realize a profit of $3 on each unit of product a and $4 on each unit of product b. to manufacture a unit of product a requires 7 min on machine i and 5 min on machine ii. to manufacture a unit of product b requires 8 min on mchine i and 5 min on machine ii. there are 175 min available on machine i and 125 min available on machine ii in each work shift. how many units of a product should be produced in each shift to maximize the company's profit p?