Scientists express surprising confidence about the possibility of time travel. while they acknowledge that we don't possess the required technology, they do point out that it's just a question of engineering since it is clearly not impossible (hawking & mlodinow, 2008). if society did have access to technology that enabled travel to the future, how exactly would we use it?

Needs 83,000 optical switches next year (assume same relevant range). by outsourcing them, worldsystems can use its idle facilities to manufacture another product that will contribute $ 140,000 to operating income, but none of the fixed costs will be avoidable. should worldsystems make or buy the switches? show your analysis.

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly

Put each of them in order. you are a young entrepreneur with a startup business. you now seek credit from the bank to expand it. what are the steps you will have to take? 1. you support your loan application with relevant documents. 2. you fill out the loan application form at the bank 3. you get an approval for the loan and the money is disbursed to your business account 4. you use the credit to further your business plan. 5. you have an interview with the loan officer and you explain your business plan.