At time t= 0, Donald puts 1000 into a fund crediting interest at an annual nominal interest rate of i compounded semiannually At time t-2, Lewis puts 1000 into a different fund crediting interest at a force of δ=1/5+t for all t. At time t 16, the amounts in each fund will be equal. Note: In this problem, t is representing time in years. Calculate i.

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?

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Last year, johnson mills had annual revenue of $37,800, cost of goods sold of $23,200, and administrative expenses of $6,300. the firm paid $700 in dividends and had a tax rate of 35 percent. the firm added $2,810 to retained earnings. the firm had no long-term debt. what was the depreciation expense?