Acompany is designing a product layout for a new product. it plans to use this production line eight hours a day in order to meet projected demand of 480 units per day. the tasks necessary to produce this product:

task time (sec) immediate predecessor

u 30 none

v 30 u

w 6 u

x 12 w

y 54 x

z 30 v, y

if the company desires that output rate equal demand, what is the desired cycle time (in seconds)?

(a) 162

(b) 72

(c) 54

(d) 12

(e) 60

Ben collins plans to buy a house for $166,000. if the real estate in his area is expected to increase in value by 2 percent each year, what will its approximate value be five years from now?

Areal estate agent is considering changing her cell phone plan. there are three plans to choose from, all of which involve a monthly service charge of $20. plan a has a cost of $.42 a minute for daytime calls and $.17 a minute for evening calls. plan b has a charge of $.52 a minute for daytime calls and $.15 a minute for evening calls. plan c has a flat rate of $80 with 275 minutes of calls allowed per month and a charge of $.38 per minute beyond that, day or evening.a. determine the total charge under each plan for this case: 150 minutes of day calls and 70 minutes of evening calls in a month. (do not round intermediate calculations. round your answer to 2 decimal places. omit the "$" sign in your response.)c. if the agent will use the service for daytime calls, over what range of call minutes will each plan be optimal? (round each answer to the nearest whole number.include the indifference point itself in each answer.)d. suppose that the agent expects both daytime and evening calls. at what point (i.e., percentage of total call minutes used for daytime calls) would she be indifferent between plans a and b?

In macroeconomics, to study the aggregate means to study blank