(worth 20 points) Solve the system of linear equations below by inverting the coeficient matrix and using Theorem that states: If A is an invertible n x n matrix, then for each nx 1 matrix b, the system of equations Ax-b has exactly one solution, namely, x = A-1b. Once you find the solution x, check that the solution x solves the system. x1 + 3x2 + x3 = 4 2x1 +2x2 +X31 2x, +3x2 +x3 3

4. Determine the rotation of joint C of the frame shown in Fig. by the virtual work method. El is constant. 1.5 k/ft 12 ft 40 k El constant E- 29,000 ksi / 2,500 in. 12 ft 30 ft

Question Inventory impact. Assume that GBI has 600 T-shirts in inventory before the procurement and fulfillment process are executed. Now GBI sell 100 T-shirts to its customer and buy 200 T-shirt from its supplier. Fill in the table, show the inventory impact. 1 Procurement process: buy 200 T-shirts 2 fulfillment process: sell 100 T-shirts Prior to DIM WM ZIM 2WM process activity (GR) activity(conf activity(GI) activity(confirm execution irm TO) ΤΟ) Storage 600 location Interim storage area Warehou 600 se bins 0

As part of the restructure of management of the business process the management of ABC Organisation is looking at implementing a SAP solution. The problems of mapping the current business process to the SAP systems are well understood and the management feel that they have secured the services of a capable firm to help with the process. However before proceeding with the project the management still have a number of issues they would like to address before proceeding with the planed implementation. Current system is based on centralised services where all the processing is done on a central IT infrastructure. Most of the systems as they were designed and built in house means that they don't conform to the usual standard used outside the organisation. As a result there are questions regarding the process of making the data and services work with the SAP. a) In order to move to the SAP platform the management would like some details on how the transition of the information and services to the industry standard should be implemented. How does SAP access information and services that are not implemented within the SAP framework? b) One of the problems the ABC organisation has been struggling with is the correct attribution of cost to the production process. The paper based model makes the keeping track of the standard cost of production to the actual cost difficult to manage and trace. • Explain why is the ability to correctly identify the actual production cost important to an organisation? • Discuss how variances between standard and actual costs result and how a product cost per unit sold can be calculated? Describe why cost variances would be difficult to research in a paper-based system.

4_15. A person can run at a speed of 7.5 ft/s and can swim at a speed of 4.1 ft/s. In order to reach the child in the shortest time the person runs a certain distance X, and then swims along the dotted line to reach the child. Write a MATLAB program that determines the total time required to reach the child as a function of distance X to run (X ranging from 0 to 5000 ft at 1 ft increment In the program define a vector X with values ranging from 0 to 5,000 with increments of 1. Use this vector to calculate the corresponding values of distance to swim (D). Then calculate the total time to reach the child (t) which is made of time taken for running and that taken for swimming (a) Use MATLAB's built-in function min ) to find the "minum time" to reach the child, and the corresponding "run distance". Program will display the minimum time and the required run distance X to achieve this. (b) Plot time vs X; Label Y-axis as Time, s', and X-axis as Distance to run, ft. Plot will not show the symbols but it will have black lines drawn through the data points. 10,000 ft Person 3,000 ft Child

5. u C be the posihively oeiunted sqvaee witn veehces (0,0), (310) ) ls, 3) ) (ol 3) . use green theorem to evaluate the line integral Serxax+ udg

l Ooredoo 3G 10:40 PM Done Assign-2-0a716720234114d13f CHAPTER 5 Foundations of Planning 169 CASE APPLICATION #3 Shifting Direction s the global leader in satellte navigation equipDespite these new market shifts, customers have gotter ment, Garmin Ltd. recently hit a milestone number used to the GPS devices and they have become an essential part has sold more than 100 million of its products of their lives. That's why Garmin's executive team still believes to customers from motorists to runners to geocachers and there's a market for dedicated navigation systems. It's trying more-who depend on the company's equipment to help "show to breathe some life into the product with new features, better them the way." Despite this milestone, the company's designs, and more value for the Garmin's Change in Direction some of the new features include faster searching for addresses or core business is in decdine Garmin's Change in Direction consumer's money. For instane core business is in decline due to changing circum- tances5 In response, managers at Garmin, the biggest maker points of interest, voice activated navigation, and highlighting of personal navigation devices, are shifting direction. Many exit services sach as gas stations and restaurants of you probably have a dashboard-mounted navigation device in your car and chances are it might be a Garmin. However, a number combine smartpbone docking stations with navigation systems 5-3 Sales of Garmin devices have declined as consumers increas- ingly use their smartphones for directions and maps. However, have you ever tried to use your smartphone navigation system while holding a phone to look at its display? It's dangerous to 5 hold a phone and steer. Also, GPS apps can "crash" if multiple apps are running. That's why the Olathe, Kansas-based com- pany is taking action to "aggressively partner" with automak- 5-38 What contingency factors might affect the planning Garmin ers to embed its GPS systems in car dashboards. Right now, its biggest in-dash contract is with Chrysler and its Uconnect dashboard system found in several models of Jeep, Dodge, 5-39 What planning challenges do you think Garmin executives face and Chrysler vehicles. Garmin also is working with Honda and Toyota for dashboard systems in the Asian mariket. Discussion Questions of cars now have "dashboard command centers which ortant executives have to do? How might those contingency factors affect the planning? with continuing to be the global market leader? How should they cope with those challinges?

Select the correspond digital logic circuit which gives the same out put Q, from the given logic circuits below.

Use the properties of limits to find the indicated limit. x2+16 8) lim 16 D) does not exist B) 8 C 0 A) 4