Your company offers a denied-benefit pension plan to each of its employees. The plan will make a monthly payment to each retiree of $4 thousand, next month. In each subsequent month, the payment will grow by an annualized rate of 2% to adjust for inflation. There are currently 100 retirees, and you estimate that this number will remain the same, indefinitely. The government mandates that (i) pension liabilities must be discounted at an annualized rate of 4%, and (ii) pension liabilities must be 75% funded (that is, the pension fund must be funded at 75% of the present value of the liabilities). (a) How much money must your rm contribute to its pension fund. (b) Consider the following variation on (a). Yours is a young company { a sexy startup. You don't have any retirees right now, but you do make pension promises to your young workers. You estimate that 20 years from now the first cohort of 50 workers will retire, receiving their first monthly payment one month after retiring (received in 241 months). Going forward, you expect the pool of retirees to remain stable, at 50. How much money must your firm contribute now in order to fulfil the government mandate?

25-5

Pantanal, Inc., manufactures car seats in a local factory. For costing purposes, it uses a first-in, first-out (FIFO) process costing system. The factory has three departments: Molding, Assembling, and Finishing. Following is information on the beginning work-in-process inventory in the Assembling Department on August 1:

During August, 101,000 units were transferred in from the Molding Department at a cost of $2,121,000 and started in Assembling. The Assembling Department incurred other costs of $1,069,410 in August as follows:

At the end of August, 17,000 units remained in inventory that were 90 percent complete with respect to direct materials and 50 percent complete with respect to conversion.

Required:

Compute the cost of goods transferred out in August and the cost of work-in-process ending inventory.

1. What is the cost of goods transferred out?_______

2. Cost of WIP ending inventory? _______

Pantanal, Inc., manufactures car seats in a local factory. For costing purposes, it uses a first-in, first-out (FIFO) process costing system. The factory has three departments: Molding, Assembling, and Finishing. Following is information on the beginning work-in-process inventory in the Assembling Department on August 1:

During August, 106,000 units were transferred in from the Molding Department at a cost of $2,024,600 and started in Assembling. The Assembling Department incurred other costs of $954,505 in August as follows:

At the end of August, 20,000 units remained in inventory that were 80 percent complete with respect to direct materials and 40 percent complete with respect to conversion.

Required:

Compute the cost of goods transferred out in August and the cost of work-in-process ending inventory. (Do not round intermediate calculations.)

1. A city can use several different combinations of labor and computers to run its departments. People can fill out information on a paper form or on a computer. Below are three estimates of the mix of labor and computers needed to run a specific department. Computers and software cost $2000 each and must be replaced once a year. In a table below three choices of combinations of labor and computers are listed. Use this set of information to answer the following: (4 points)

1. In a non-unionized labor market, the wage for the workers at this office will be $24,000 per year. Given this wage will choice A, B or C be preferred. Briefly explain.
2. A strong union is started and it manages to raise the wage of workers in this office to $40,000. Given this wage, will choice A, B or C be preferred. Briefly explain.
3. Based on your answer to the first two parts of the question, how has the union affected the number of jobs available?
4. Based on your answer to the first two parts of this question, is there a reason to believe that a union worker will be able to handle more citizens than a nonunion worker was able to handle before the creation of the strong union?

Topic: Diminishing Marginal Utility

Pretend that you have just been surprised with a genuine email that says you have just been selected by your favorite pizza delivery company that every day for the next month you will receive your favorite pizza for lunch and another of that same favorite pizza for dinner, delivered to your home and ready to eat. Using the concept of diminishing marginal utility, discuss how excited you will be on the first day of your winning. What about your excitement on the 10th day? What about your excitement on the 30th day? Now, pretend that your favorite national brand gasoline company informs you that you have won as much as you want free gasoline, as much as you want, from any of their gas stations, anywhere in the country every day for a year. Using the concept of diminishing marginal utility, discuss how excited you will be on the first day of your winning What about your excitement on the 10th day? What about your excitement on the 30th day? Again, considering the concept of utility, what makes these two scenarios different?

list references and 100 words or more

Blossom Music Shop gives its customers coupons redeemable for a poster plus a Bo Diddley CD. One coupon is issued for each dollar of sales. On the surrender of 100 coupons and $6.00 cash, the poster and CD are given to the customer. It is estimated that 80% of the coupons will be presented for redemption. Sales for the first period were $720,000, and the coupons redeemed totaled 415,000. Sales for the second period were $860,000, and the coupons redeemed totaled 740,000. Blossom Music Shop bought 20,000 posters at $2.0/poster and 20,000 CDs at $7.0/CD. Prepare the following entries for the two periods, assuming all the coupons expected to be redeemed from the first period were redeemed by the end of the second period. To record coupons redeemed. (Credit account titles are automatically indented when the amount is entered. Do not indent manually.)

1. A city can use several different combinations of labor and computers to run its departments. People can fill out information on a paper form or on a computer. Below are three estimates of the mix of labor and computers needed to run a specific department. Computers and software cost $2000 each and must be replaced once a year. In a table below three choices of combinations of labor and computers are listed. Use this set of information to answer the following: (4 points)

1. In a non-unionized labor market, the wage for the workers at this office will be $24,000 per year. Given this wage will choice A, B or C be preferred. Briefly explain.
2. A strong union is started and it manages to raise the wage of workers in this office to $40,000. Given this wage, will choice A, B or C be preferred. Briefly explain.
3. Based on your answer to the first two parts of the question, how has the union affected the number of jobs available?
4. Based on your answer to the first two parts of this question, is there a reason to believe that a union worker will be able to handle more citizens than a nonunion worker was able to handle before the creation of the strong union?

A firm offers two different prices on its products, depending upon the quantity purchased. Since available resources are limited, the firm would like to prepare an optimal production plan to maximize profits. Product 1 has the following profitability: $75 each for the first 25 units and $60 for each unit over 25. Product 2's profitability is $200 each for the first 50 units and $100 each for each unit over 50. The products each require two raw materials to produce (see table below for usages and available quantities). You may your choice of software tool for this problem

1. Again, write the model formulation as a separable programming mathematical Linear Optimization model with appropriate mathematical equations and variable definitions as explained in Problem 1 (5 points)

2. Use separable programming to find the optimal production plan. Support your answer with your working documentation. (5 points)

Optimal Profitability: ___________________________

Optimal Production Plan:   Product1 Units __________________    

                                            Product2 Units: ____________________

Three independent operations (1, 2, and 3) are performed sequentially in the manufacture of a product. The first-pass yields (proportion conforming) for each operation are given by p₁ = 0.90, p₂ = 0.95, and p₃ = 0.80, respectively, for operations 1, 2, and 3. The unit production costs for each operation are u₁ = $5, u₂ = $10, and u₃ = $15, respectively.

1. What is the unit cost per conforming (or good) product?
2. Suppose, through quality improvement effort, the first-pass yield for each operation is improved to the following levels: p₁ = 0.94, p₂ = 0.96, and p₃ = 0.88. Relative to part (a), determine how much improvement in percentage terms in (production) capacity has taken place.
3. Management is completing a 100% inspection process after either operation 1 or 2. Assume that the inspection process is completely reliable (i.e., all units are identified correctly – conforming or not). Unit inspection costs after operations 1 and 2 are $0.10 and $0.20, respectively. Nonconforming parts are not forwarded to subsequent operations. Find the unit cost per conforming product for each plan for the improved process.

The wording in part c is weird so I'm wondering what others' interpretation of it would be.