Question 1. What is the output of the Systems Analysis phase? 2. Which phase of the Analysis is the most difficult and why? 3. You are conducting a fact-finding interview. List 3 things to “avoid" and 4 things to "Do" 4. Think of a way to avoid the Hawthorne Effect 5. Define an object and provide three examples of objects.

Four people, Allan, Brett, Cecilia and Diana are walking when they come across a river. There is a man with a small boat who offers them the use of his boat to cross the river. The boat will only carry two people at most. The man tells them they can leave the boat on the other side and he'll pick it up later. Due to their varying weights, the boat takes Four people, Allan, Brett, Cecilia and Diana are walking when they come across a river. There is a man with a small boat who offers them the use of his boat to cross the river. The boat will only carry two people at most. The man tells them they can leave the boat on the other side and he'll pick it up later. Due to their varying weights, the boat takes varying times to cross the river. If two people cross together, the boat will travel at the speed of the heavier person. The time it takes the boat to cross is shown below. Allan: 1 minute Brett: 3 minutes Cecilia: 4 minutes Diana: 10 minutes a) What crossing time does the strategy of part 1 give for this problem? 0.5 mark b) Is this the best possible time? 1 mark c) If it is not-what is the best time? 1.5 marks

The number of students infected with the flu on a college campus after t days is modeled by the function 200 What is the maximum number of infected students possible The number of students infected with the flu on a college campus after days is modeled by the function P 1.19-23 OA 120 students Ostudents C 4 stores OD 240 students

Please show all work, thank you! Find the solution space of the homogeneous system of equations. X1 -3x2 + x3=0 2x1 - 6x2 +2x3=0 3x1 -9x2 + 3x3=0

Moments and shear stress 2. The following figure shows all the stresses on a small volume element (of volume dxdydz) in equilibrium. By calculating the moments about the centre of the element and understanding that in equilibrium the total sum of moments around the x, y and z axes are zero, prove that: Txy Tyx Txz = T7x and Tyz Tzy dx буг бу dz Ох бу Оух xy Moments and shear stress 2. The following figure shows all the stresses on a small volume element (of volume dxdydz) in equilibrium. By calculating the moments about the centre of the element and understanding that in equilibrium the total sum of moments around the x, y and z axes are zero, prove that: Txy Tyx Txz = T7x and Tyz Tzy dx буг бу dz Ох бу Оух xy бх dy (Hint: calculate the moments about the centre of the element in the x, y and z axes separately.) 60

7–26. Lagrange multipliers Each function ƒ has an absolute maximum value and absolute minimum value subject to the given constraint. Use Lagrange multipliers to find these values. ƒ(x,y) = x2 subject to x2 + xy + y2 = 3

The Gourmand Cooking School runs short cooking courses at its small campus. Management has identified two cost drivers it uses in its budgeting and performance reports—the number of courses and the total number of students. For example, the school might run two courses in a month and have a total of 65 students enrolled in those two courses. Data concerning the company's cost formulas appear below: Instructor wages Classroom supplies Utilities Campus rent Insurance Administrative expenses Fixed Cost per Cost per Cost per Month Course Student $ 2,960 $280 $1,240 S 80 $4,600 $2,400 $3,600 44 S 5 $ For example, administrative expenses should be $3,600 per month plus $44 per course plus $5 per student. The company's sales should average $890 per student. The company planned to run four courses with a total of 65 students; however, it actually ran four courses with a total of only 57 students. The actual operating results for September appear below: Revenue Instructor wages Classroom supplies Utilities Campus rent Insurance Administrative expenses Actual $ 54,950 $11,120 $ 18,050 $ 1,970 $ 4,600 $ 2,540 $ 3,527 Required: Prepare a flexible budget performance report that shows both revenue and spending variances and activity variances for September. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.) Required: Prepare a flexible budget performance report that shows both revenue and spending variances and activity variances for September. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values.) Gourmand Cooking School Flexible Budget Performance Report For the Month Ended September 30 Flexible Actual Results Budget Planning Budget Courses 4 Students 57 $ 54,950 Revenue Expenses: Instructor wages Classroom supplies Utilities Campus rent Insurance Administrative expenses Total expense Net operating income 11,120 18,050 1,970 4,600 2,540 3,527 41,807 13,143 $