Edna is 30 and plans to retire at 50. that's 20 years of saving for retirement. edna will make a deposit into the retirement savings account once a year at the end of the year. once she retires, edna will live for 40 years. edna wants to plan for a retirement pay of $100,000 at the end of each year. the discount rate is 8%. some time-value-of-money factors are available: present value of an ordinary annuity, 40 years, 8% 11.92461 future value of an ordinary annuity, 20 years, 8% 45.7620 what yearly deposit should edna make from age 30 to 50 to achieve her goal?

Calvin works at a facility which processes apples. it costs the facility $0.68 to make either a jar of applesauce or a bottle of apple juice. due to the nature of the process and contractual agreements, calvin's facility must make and sell three jars of applesauce for every two bottles of apple juice. a jar of applesauce sells for $2.20, and a bottle of apple juice sells for $3.15. if the facility has annual overhead costs of $368,500, not including production costs, how many bottles of apple juice will the facility have sold when it breaks even every year? round to the nearest whole bottle, if necessary.

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.

One pound of material is required for each finished unit. the inventory of materials at the end of each month should equal 20% of the following month's production needs. purchases of raw materials for february would be budgeted to be: