Why does the free-market system bring efficiency as well as freedom?

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?

Grey company holds an overdue note receivable of $800,000 plus recorded accrued interest of $64,000. the effective interest rate is 8%. as the result of a court-imposed settlement on december 31, year 3, grey agreed to the following restructuring arrangement: reduced the principal obligation to $600,000.forgave the $64,000 accrued interest.extended the maturity date to december 31, year 5.annual interest of $40,000 is to be paid to grey on december 31, year 4 and year 5. the present value of the interest and principal payments to be received by grey company discounted for two years at 8% is $585,734. grey does not elect the fair value option for reporting the debt modification. on december 31, year 3, grey would recognize a valuation allowance for impaired loans of

Gulliver travel agencies thinks interest rates in europe are low. the firm borrows euros at 5 percent for one year. during this time period the dollar falls 11 percent against the euro. what is the effective interest rate on the loan for one year? (consider the 11 percent fall in the value of the dollar as well as the interest payment.)