please answer d. e. and f. I will upvote. Thanks so much!!!

There are two cities, Springfield and Eugene, and 100 identical workers who can choose to live in either city. Suppose the indirect utility of living in either city is given by: Vj=WjRj+Mj Where Wj is the wage of living in either city j and Rj is the rent in city j. Wages in Eugene are $100 and wages in Springfield are $160. We also have amenities: ME=60 in Eugene and MS=40 in Springfield. Rents in Eugene, RE are given by: RE=20+LE, where LE is the number of workers in Eugene, and rents in Springfield, RS are given by: RS=30+Ls, where LS is the number of workers in Springfield. d. What is total welfare? ( 3 points) e. Suppose the government decides to charge a tax of $40 to anyone who lives in Eugene. How many workers live in Eugene now? 3 points) f. What is landlord profit is Eugene after the tax is introduced? What are landlord profits in Springfield? ( 3 points) There are two cities, Springfield and Eugene, and 100 identical workers who can choose to live in either city. Suppose the indirect utility of living in either city is given by: Vj=WjRj+Mj Where Wj is the wage of living in either city j and Rj is the rent in city j. Wages in Eugene are $100 and wages in Springfield are $160. We also have amenities: ME=60 in Eugene and MS=40 in Springfield. Rents in Eugene, RE are given by: RE=20+LE, where LE is the number of workers in Eugene, and rents in Springfield, RS are given by: RS=30+Ls, where LS is the number of workers in Springfield. d. What is total welfare? ( 3 points) e. Suppose the government decides to charge a tax of $40 to anyone who lives in Eugene. How many workers live in Eugene now? 3 points) f. What is landlord profit is Eugene after the tax is introduced? What are landlord profits in Springfield? ( 3 points)