Q1 A fourth-year engineering student is seeking part-time jobs to get work experience and financial income. The student can set aside 300 hours for the planning period in which she wants to work. As a consequence of the interviews, the student received four employment offers. These works are composed of multiple tasks. She can choose to work for any number of tasks of one or more works. In the table below, required time the student should spend on each of these tasks, the number of tasks she may do for each of these works, and the earnings she will get if she accomplishes each task once are given. Work Type # of tasks Required time per task (hrs) Fee per Task ( Dollarx 100) A 2 100 20 B 2 50 10 4 30
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- 19. What combination of x and y will yield the optimum for this problem? Maximize $3x + $15y, subject to (1) 2x + 3y ≤ 12 and (2) 5x + 2y ≤ 10 and (3) x, y ≥ 0. Part 2 A. x = 0, y = 3 B. x = 2, y = 0 C. x = 0, y = 0 D. x = 0, y = 4 E. x = 1, y = 5Q2 The lower daily needs for workers in a manufacturing organization provided in the below table, each worker works for eight hours, the management needs to determine the lower number of workers to maintain the flow and stability of the work in each shaft. Formulate LP model for this problem and suggest (only suggestion) a method to find the optimal solution ShaftQuestion for reference: For the linear program Max 2A + 3Bs.t. 1A+2B <= 6 5A+3B <= 15 A, B >= 0 find the optimal solution using the graphical solution procedure. What is the value of the objective function at the optimal solution? **See image for answer to the above question** Required: Please explain & show the algebra/working for the determination of the corner points A =12/7 and B =15/7.
- 10.6 This optional problem requires knowledge of statistics. Heywood Home Healthcare is evaluating a project with the following net cash flows and probabilities: Time 0 Year 1 Year 2 Year 2 Year 3 Year 4 Prob = 0.2 ($100,000) 20,000 20,000 20,000 20,000 30,000 Prob = 0.6 ($100,000) 30,000 30,000 30,000 30,000 40,000 Prob = 0.2 ($100,000) 40,000 40,000 40,000 40,000 50,000 The year 5 values include salvage value. Heywood’s corporate cost of capital is 10 percent. What is the project’s expected NPV on the basis of the scenario analysis? What is the project’s standard deviation of NPV? Assume that Heywood’s managers judge the project to have lower-than-average risk. Furthermore, the company’s policy is to adjust the corporate cost of capital up or down by 3 percentage points to account for differential risk. Is the project financially attractive?Exercise 4 a) Write the objective function of this LP.b) Write the constraint of the basic element Y.c) Write the constraint that expresses"the factional contributions from each mine must add up to 1."d) What is the optimal fraction of a ton to be chosen from mine 4?e) To make the optimal fraction of a ton to be chosen from mine 4 non-zero, how should the cost per ton of ore from mine 4 change?f) If the minimum requirement amounts of basic element X increases to 7 tons, how much does the cost of a feasible blend (i.e., the value of the objective function) become?g) If the minimum requirement amount of basic element Z decreases to 25 tons, how much does the cost of a feasible blend (i.e., the value of the objective function) become?Silver Star Bicycle Company will be manufacturing both men’s and women’s models of its Easy-Pedal bicycles during the next two months. Management wants to develop a production schedule indicating how many bicycles of each model should be produced in each month. Current demand forecasts call for 150 men’s and 125 women’s models to be shipped during the first month and 200 men’s and 150 women’s models to be shipped during the second month. Additional data are shown: Model Production Costs Current Inventory Men’s $120 20 Women’s 90 30 The company charges monthly inventory at the rate of 2% of the production cost based on the inventory levels at the end of the month. The company would like to have at least 25 units of each model in inventory at the end of the two months. Formulate this problem as a linear programming model so that a production schedule can be established in order to minimize production and inventory costs and satisfies the labor-smoothing,…
- Q8. In his current job, Smith can work as many hours per day as he chooses, and he will be paid €1/hr for the first 8 hours he works, €2.50/hr for each hour over 8. Faced with this payment schedule, Smith chooses to work 12 hr/day. If Smith is offered a new job that pays €1.50/hr for as many hours as he chooses to work, will he take it? Explain.subpart #2 Brenda appears to have an advantage with her products and services. Develop a plan for Brenda to overcome the sales resistance she is receiving.Scenario – 3 In Criminal Management System there are different Prisons across country wheredifferent criminals across country are kept. There are multiple cells within prisons; eachcell can hold multiple prisoners. Each prisoner can get one or more plenty dependingupon nature of crime. Each Prison has Administrator which manage the Prisoners. EachCriminal is supposed to do Social work during his imprisonment and this social work ispart of its plenty. Beside administrator there are different employees which are alsopart of prisoner. Task to do: i. Identify Entities with atleast 10 attributes per Entities.ii. Identify all relationship from the given Scenarioiii. Generate Entity Relationship Diagram
- section (A) Mutiple choice question has 2 options which is the best least option or the number of miles driven. for the 1st and 3rd part of this section and the second and fourth part potential solutions are 2,3,4, 9,? Section (C) potential solutions are Dealer A, Dealer B, Dealer C, Dealer A or B, Dealer A or C, Dealer B or C NEED FULLY CORRECT SOLUTION FOR THIS. ASAP!!!Carlos Cavalas, the manager of Echo Products’ Brazilian Division, is trying to set the production schedule for the last quarter of the year. The Brazilian Division had planned to sell 70,070 units during the year, but by September 30 only the following activity had been reported: Units Inventory, January 1 0 Production 71,100 Sales 63,700 Inventory, September 30 7,400 The division can rent warehouse space to store up to 30,500 units. The minimum inventory level that the division should carry is 2,800 units. Mr. Cavalas is aware that production must be at least 4,440 units per quarter in order to retain a nucleus of key employees. Maximum production capacity is 44,200 units per quarter. Demand has been soft, and the sales forecast for the last quarter is only 19,500 units. Due to the nature of the division’s operations, fixed manufacturing overhead is a major element of product cost. Required: 1a. Assume that the division is using variable costing. How many…Q4) A rural country administration wants to locate several medical emergency response units so that it can respond to calls within the county within eight minutes of the call. The county is divided into seven population zones. The distance between the centers of each pair of zones is known and is given in the matrix below. The response units can be located in the center of population zones 1 through 7 at a cost (in hundreds of thousands of dollars) of 100, 80, 120 110, 90, 90, and 110 respectively. Assuming the average travel speed during an emergency to be 60 miles per hour, formulate an appropriate set covering model to determine where the units are to be located and how the population zones are to be covered.