Ernst and Gunter are planning for their eventual retirement from the magic business. They plan to make quarterly deposits of $2,000 into an IRA starting three months from today. The guaranteed annual interest rate is 4 percent, compounded quarterly. They plan to retire in 15 years. a. How much money will be in their retirement account when they retire

Atoy manufacturer makes its own wind-up motors, which are then put into its toys. while the toy manufacturing process is continuous, the motors are intermittent flow. data on the manufacture of the motors appears below.annual demand (d) = 50,000 units daily subassembly production rate = 1,000setup cost (s) = $85 per batch daily subassembly usage rate = 200carrying cost = $.20 per unit per year(a) to minimize cost, how large should each batch of subassemblies be? (b) approximately how many days are required to produce a batch? (c) how long is a complete cycle? (d) what is the average inventory for this problem? (e) what is the total annual inventory cost (holding plus setup) of the optimal behavior in this problem?

What are the period and vertical shift of the cosecant function below? period: ; vertical shift: 1 unit up period: ; vertical shift: 2 units up period: ; vertical shift: 1 unit up period: ; vertical shift: 2 units up?

Down under products, ltd., of australia has budgeted sales of its popular boomerang for the next four months as follows: unit salesapril 74,000may 85,000june 114,000july 92,000the company is now in the process of preparing a production budget for the second quarter. past experience has shown that end-of-month inventory levels must equal 10% of the following month’s unit sales. the inventory at the end of march was 7,400 units.required: prepare a production budget by month and in total, for the second quarter.