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The following cost data pertain to the operations of Montgomery Department Stores, Inc., forthe month of July. Corporate legal office salaries 3 62.600 Apparel Department cost of salesEvendale Store 3 93,?00 Corporate headquarters building lease 5 61800 Store manager's salaryEvendale Store 3 13,100 Apparel Department sales commissionEvendale Store 3 9,000 Store utilitiesEvendale Store 5 12,500 Apparel Department manager's salaryEvendale Store 3 9500 Central warehouse lease cost 3 11200 Jan'rtorial co stsEvendale Store 3 11000 The Evendale Store is just one of man}.r stores owned and operated by the companv. The Apparel Department is one of many departments at the Evendale Store. The central warehouse serves all of the company's stores. Required: 1. What is the total amount of the costs listed above that are direct costs of the Apparel Department? 2 What is the total amount of the costs listed above that are direct costs of the Evendale Store? 3. What is the total amount of the Apparel Department's direct costs that are also variable costs with respect to total departmental sales? The following cost data pertain to the operations of Montgomery Department Stores, Inc., for the month of July. Corporate legal office salaries S 64,800 Apparel Department cost of sales-Evendale Store S 101,500 Corporate headquarters building lease 75,600 Store manager's salary-Evendale Store S 15,000 Apparel Department sales commission-Evendale Store S 8,450 Store utilities-Evendale Store S 14,900 Apparel Department manager's salary-Evendale Store 8,550 Central warehouse lease cost S 20,900 Janitorial costs-Evendale Store S 11,000 The Evendale Store is just one of many stores owned and operated by the company. The Apparel Department is one of many departments at the Evendale Store. The central warehouse serves all of the company's stores.Required: 1. What is the total amount of the costs listed above that are direct costs of the Apparel Department? 2. What is the total amount of the costs listed above that are direct costs of the Evendale Store? 3. What is the total amount of the Apparel Department's direct costs that are also variable costs with respect to total departmental sales? E Total alraot coats farther Apparel Department - a Total litre-:1 posts for the Eaentleie stare - a Tetai aireet mate for the Apparel Department that are alaa variable pasta - Reducing Project Duration 1. Use the information contained below to compress one time unit per move using the least cost method. Reduce the schedule until you reach the crash point of the network. For each move identify what activity(ies) was crashed and the adjusted total cost. Note: The correct normal project duration, critical path, and total direct cost are provided. Act. Crash Cost (Slope) Maximum Crash Time Normal Time Normal Cost 50 150 100 100 60 200 O - NN - - - A WA W W 60 200 70 200 0 150 B D Initial 3 3 project duration: 12 A F 1x E Total direct cost: 1,000 4Create a project plan using the GanttProject software, which incorporates the tasks listed below and follows the following instructions: Enter each of the five phases of the SDLC as summary tasks, which include the set of sub tasks indicated in the given outline. For this project, each phase is dependent on completion of the prior phase. . Pay attention to the instructions given in italics for each group of sub tasks. The instructions tell you where task dependencies exist. Note those activities, which are labelled as 'milestones'. (Use the checkbox under task properties to create a milestone. This is a point in time, there should be no duration). Your project should start on 8/9/21 and end on 11/12/21. It is up to you to determine how long each task will take. . Input you and at least two other team members as resources. Make yourself the project manager and assign other roles to the other members. Assign your team members as resources to each task. Some tasks should be assigned to a single person and others should be assigned to more than one. Be sure to check your resources to be sure all tasks in your project are covered and that you have not over allocated any resources.\f1. Solve the initial-value problem using Modified Euler method 2-20 ost s1,y(0) - 1, withh - 0.1 2. Solve the System of first order differential equations as shown below by applying Runge-Kutta fourth order method and Compare the results with the actual solutions 1(1 )=-121 +12 +21- du dr =1 -1, +2, 0sis1, u (0)=-1, h=0.1 dt = -11, +My +41, Ostsl, u, (0)=0, h=0.1 3. Use Newton's method to find a solution with at least 6 significant digits near x=2 and y=3 of the system consisting of both of the following equations: f(xy)= + sin(3xy)+ x In(y)-70=0 and g(x, y) - x cos (2y)+ xe -+ xIn (x)-70-0. 4. Find the value of vi+ x using Simpson's 3/8 th rule.2.4-2.9 Find the Euler-Lagrange equations and the natural boundary conditions associated with each of the total potential energy functionals given in Problems 2.4 2.9. The dependent variables are listed as the arguments of the functional, and only the geometric boundary conditions are stated. No other variables are functions of the dependent variables, but may be functions of position in the domain or on the boundary. 2.4 Arial deformation of a spring-supported bar: ".(0) = 0 II(uo) = EA dra - fun di + "[uo( [)]? - Pro(I) 2.5 Bending of a beam on clastic foundation: w(0) = w(b) =0 I(wo) = EI up - qua de 2.6 Nonlinear bending of a beam: 10(0) = 0. up(0) =0, and (dab/de)(0) = 0 - Fold ( L) - Puo( L) 2.7 Transverse deflection of a membrane: * = 0 on the portion I's of the total boundary I (Ta = [- Ie) II(u) = du 2 + 022 dy - fu drdy - tu da 2.8 Bending of an orthotropic plate: un =0, Own/On =0 on the boundary I 2 + 2Den 8-wo droy 2 + - quo dady1. Bending a beam (1D version): An elastic beam is supported at its ends and loaded by a distributed load, p(x). The elastic strain energy stored in a bent beam and the loading energy are given by: Total [u(x)] - Isending [u(2)] + Illandtu( z)] (1) (2) Iload [u(x)] - - p(x)u(x) dr. (3) (a) Suppose the beam is simply supported. i. Write down the class of admissible solutions and admissible variations to minimize IItotal [u( x)]. ii. Derive the Euler-Lagrange equations that stem from minimizing Itstar. Clearly identify the boundary conditions. How many essential boundary conditions? How many natural boundary conditions? ili. Consider the special case of a point load in the center of the beam, for which: p(x) = Pi(x - L/2) (4) Here, 6(r) is the Dirac delta function. Confirm that Iload simplies to become: Ijoadfu(x)] = -Pu(L/2). (5) iv. Choose a suitable trial solution o(x), and let u(x) ~ do(x), where d is an undetermined constant. For Had given in equation (5), minimize It{do(x)] with respect to d, to estimate u(L/2) ~ do( L/2) (6) Compare to the known exact solution. (b) Select two different functions (r) and oz(r). Let u(x) =dad.(1) (7) n=1 Evaluate dn, n = 1, 2 for your choice of on(r). Feel free to evaluate your integrals numerically via computer; try to accomplish your goal with as little human effort as possible. How hard would it be to consider larger number of NV functions, on(I)