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  1. Given the system of equations below, solve using the Gauss – Jordan method of row reduction

2?? + ?? + 3?? = 4

?? – ?? = 4

4?? – 2?? + ?? = 1

  1. A businessman is considering producing a novelty item that will be sold in hotel gift shops for $350 each. The variable cost of production for the item is $200 per unit with fixed costs of $375 000. His research has indicated that the demand for this item will be either 2 000, 3 000, 4 000 or 5 000 units.

i. Set up a payoff table for the businessman’s decision ii. Determine the number of units that he should produce using:

  1. the maximax criterion
  2. the maximin criterion
 
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Brendan’s internship at Kramer & kaplin Market Research in Calgary stated out well. He enjoyed brainstorming ideas with his manager and designing a survey for an important client. However, the past few weeks have been pure misery. Brendan’s supervisor assigned him to join three other interns on a team to create a comprehensive online handbook for interns. Brendan will work on this project with one other intern from the Calgary office (Roberto) and two interns from New Delhi, India (Maansi and Anant).

Planning the first meeting was difficult. Brendan lost two days of work trying to se t a meeting time because there is a 12.5 hour time difference between Calgary and New Delhi: at 9 a.m. Central Standard Time in Calgary it is 9:30 p.m. in New Delhi. Brendan suggested a 7 a.m. teleconference, but his Calgary teammate, Roberto, said he could not arrive in the office early for a meeting. brendan suggested an 8:30 a.m. teleconference, which would be 9:00 p.m. in New Delhi. Both his New Delhi teammates, Maansi and Anant, were vague about whether they could stay late. Brendan begged Roberto to arrange to get to work early just one day so that the team could hold a kickoff meeting. Roberto admitted that he could easily get to the office early, but preferred to sleep later. After much difficulty, the first meeting is scheduled for 7:30 a.m. Central Standard Time on Wednesday.

QUESTION 1:

Are there any online scheduling tools that could have made this initial task easier? Identify at least 3 such tools and describe how they would have facilitated this task.

QUESTION 2:

If the criteria for the selection of a tool for this meeting include low-cost or free, easy access, synchronous connectivity, and the ability to share screens, what would be the 3 best tools to use for this first virtual meeting? Which of the 3 would you recommend and why?

QUESTION 3:

Can the tool you recommend help with Roberto’s participation in future meetings? How?

After the meeting, it is clear that all four interns seem to share at least one goal in common: to create an excellent handbook for interns. However, each intern has a different opinion about what is required to achieve that goal. While Brendana nd Roberto are focused on providing useful content for a rpint or ebook version, Maansi and Anant are focused on the technical aspects of delivering an engaging, interactive webstie to deliver the content. They believe that programming is key. Existing content can simply be imported into the new site.

QUESTION 4:

Which asynchronous deocument management tool would you recommend to house the content for this project?

QUESTION 5:

How would your rate the level of secuirty needed for the digital assets related to this project: very high, high, medium, or low? Explain.

Does the tool you recommend provide the appropriate level of security?

As the summer and the project progress, the team begins to communicate informally through an instant messaging platform. Although their workdays are inverse because of time zone differences, the instant messaging platform allows them to keep in touch through their mobile devices. At the end of the project, all four team members credit this synchronous connectivity with their relationship building and the creation of a sense of trust and cohesion.

QUESTION 6:

Research and consider the following possible alternatives for the instant messaging platform used by this team:

  • Whats App
  • Viber
  • Voxer
  • Slack
  • Facebook Messenger
  • Skype

Which platform do you think the used? Why?

 
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All airplane passengers at the Lake City Regional Airport must pass through a security screening area before proceeding to the boarding area. The airport has three screening stations available, and the facility manager must decide how many to have open at any particular time. The service rate for processing passengers at each screening station is 3 passengers per minute. On Monday morning the arrival rate is 5.2 passengers per minute. Assume that processing times at each screening station follow an exponential distribution and that arrivals follow a Poisson distribution. When the security level is raised to high, the service rate for processing passengers is reduced to 2 passengers per minute at each screening station. Suppose the security level is raised to high on Monday morning. Note: Use P0 values from Table 11.4 to answer the questions below. The facility manager’s goal is to limit the average number of passengers waiting in line to 7 or fewer. How many screening stations must be open in order to satisfy the manager’s goal? Having 3 station(s) open satisfies the manager’s goal to limit the average number of passengers in the waiting line to at most 7. What is the average time required for a passenger to pass through security screening? Round your answer to two decimal places. W = fill in the blank 2 0 minutes What is the average time required for a passenger to pass through security screening?


 
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A personnel working in a tea-shop will fill the tea-urn for 6 times as shown in the Fig.1 in the 8-hour working period. The carboy is transported from a height of 20 cm to a height of 110 cm. These carboys weigh 20 kg, and it is quite difficult to grasp and lift it These carboys, which are 10 cm far from the center of gravity of the employee, are removed with a turning angle of 15 degrees to a distance of 40 cm from the employee. By calculating the NIOSH lifting index, please develop ergonomic improvement suggestions by identifying possible risk factors if you find out that the job is risky Fig. 1 RWL-LC (51) X HM VM DM x AM FM CM Lifting Index (LI)= RWL – Weight HM = 25/H ; VM = 1-(0.003|V-75); DM = 0.82+(4.5/D); AM = 1-(0.0032A); FM = 0.75; CM = 0.90 b) Please determine the probable risk factors and suggest ergonomic solutions
 
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