Assume that x[n], n = 0, 1, · · · , 11 contains all non-zero samples of a complex-valued continuous-time signal xc(t) being sampled at t = n/100, and the bandwidth of xc(t) is less than 50Hz. Also assume that the 12-point DFT of x[n] is X[k] = [0, 1, 2, 3, 2, 1, 0, 0, 0, 0, 2, 1]. A) Determine and sketch 12 uniformly spaced samples of the continuous-time Fourier transform Xc(f) of zc(t) for –50Hz B) How do you compute 64 uniformly spaced samples of Xc(f) for –50Hz 5 f < 50Hz (starting from the above 12-point DFT sequence X[k])?

Lindon company is the exclusive distributor for an automotive product that sells for $30.00 per unit and has a cm ratio of 30%. the company’s fixed expenses are $162,000 per year. the company plans to sell 20,200 units this year. required: 1. what are the variable expenses per unit? (round your "per unit" answer to 2 decimal places.) 2. what is the break-even point in unit sales and in dollar sales? 3. what amount of unit sales and dollar sales is required to attain a target profit of $72,000 per year? 4. assume that by using a more efficient shipper, the company is able to reduce its variable expenses by $3.00 per unit. what is the company’s new break-even point in unit sales and in dollar sales? what dollar sales is required to attain a target profit of $72,000?

Vintage fun reproduces oldminusfashioned style roller skates and skateboards. the annual production and sales of roller skates is 950 units, while 1,750 skateboards are produced and sold. the company has traditionally used direct labor hours to allocate its overhead to products. roller skates require 2.5 direct labor hours per unit, while skateboards require 1.25 direct labor hours per unit. the total estimated overhead for the period is $114,300. the company is looking at the possibility of changing to an activityminusbased costing system for its products. if the company used an activityminusbased costing system, it would have the following three activity cost pools: the overhead cost per skateboard using the traditional costing system would be closest to: a. $9.31. b. $65.31. c. $25.05. your answer is not correct.d.

Explain whether each of the following events increases, decreases, or has no effect on the unemployment rate and the labor-force participation rate.a. after a long search, jon finds a job.b. tyrion, a full-time college student, graduates and is immediately employed.c. after an unsuccessful job search, arya gives up looking and retires.d. daenerys quits her job to become a stay-at-home mom.e. sansa has a birthday, becomes an adult, but has no interest in working.f. jaime has a birthday, becomes an adult, and starts looking for a job.g. cersei dies while enjoying retirement.h. jorah dies working long hours at the office.