True or False: If people have rational expectations, the sacrifice ratio could be much smaller than suggested by the short-run Phillips curve.

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?

He moto hotel opened for business on may 1, 2017. here is its trial balance before adjustment on may 31. moto hotel trial balance may 31, 2017 debit credit cash $ 2,283 supplies 2,600 prepaid insurance 1,800 land 14,783 buildings 72,400 equipment 16,800 accounts payable $ 4,483 unearned rent revenue 3,300 mortgage payable 38,400 common stock 59,783 rent revenue 9,000 salaries and wages expense 3,000 utilities expense 800 advertising expense 500 $114,966 $114,966 other data: 1. insurance expires at the rate of $360 per month. 2. a count of supplies shows $1,050 of unused supplies on may 31. 3. (a) annual depreciation is $2,760 on the building. (b) annual depreciation is $2,160 on equipment. 4. the mortgage interest rate is 5%. (the mortgage was taken out on may 1.) 5. unearned rent of $2,580 has been earned. 6. salaries of $810 are accrued and unpaid at may 31

John and daphne are saving for their daughter ellen's college education. ellen just turned 10 at (t = 0), and she will be entering college 8 years from now (at t = 8). college tuition and expenses at state u. are currently $14,500 a year, but they are expected to increase at a rate of 3.5% a year. ellen should graduate in 4 years--if she takes longer or wants to go to graduate school, she will be on her own. tuition and other costs will be due at the beginning of each school year (at t = 8, 9, 10, and 11).so far, john and daphne have accumulated $15,000 in their college savings account (at t = 0). their long-run financial plan is to add an additional $5,000 in each of the next 4 years (at t = 1, 2, 3, and 4). then they plan to make 3 equal annual contributions in each of the following years, t = 5, 6, and 7. they expect their investment account to earn 9%. how large must the annual payments at t = 5, 6, and 7 be to cover ellen's anticipated college costs? a. $1,965.21b. $2,068.64c. $2,177.51d. $2,292.12e. $2,412.76