New Time Videos (NTV) is a new online video rental service. In the field, it is trying to compete by offering its customers access to all of the major new video releases in one business day. That is, if you order a video from NTV, you can expect it in one business day from the time when you placed the order. When you are done with the video, you simply drop it in the prepaid mailing envelope and return it. All videos arrive in a sorting facility located in the Midwest where envelopes with the videos are opened, checked (right video with the right sleeve, no scratches, no cracks, no dirt on the videos), and made ready to be sent out again. As the manager of this facility, your goal is to turn the returned videos around in 4 hours (a shift is 8 hours long). You have the following information:

Inventory of videos: 290,000 per shift
Throughput: 200,000 per shift

a. Calculate the expected average flow time.
b. What changes would you recommend to meet the goal of processing a returned video within 6 hours?

Fanning company is considering the addition of a new product to its cosmetics line. the company has three distinctly different options: a skin cream, a bath oil, or a hair coloring gel. relevant information and budgeted annual income statements for each of the products follow. skin cream bath oil color gel budgeted sales in units (a) 110,000 190,000 70,000 expected sales price (b) $8 $4 $11 variable costs per unit (c) $2 $2 $7 income statements sales revenue (a × b) $880,000 $760,000 $770,000 variable costs (a × c) (220,000) (380,000) (490,000) contribution margin 660,000 380,000 280,000 fixed costs (432,000) (240,000) (76,000) net income $228,000 $140,000 $204,000 required: (a) determine the margin of safety as a percentage for each product. (b) prepare revised income statements for each product, assuming a 20 percent increase in the budgeted sales volume. (c) for each product, determine the percentage change in net income that results from the 20 percent increase in sales. (d) assuming that management is pessimistic and risk averse, which product should the company add to its cosmetics line? (e) assuming that management is optimistic and risk aggressive, which product should the company add to its cosmetics line?