Problem 8-1 (Algo) A newly formed fim must decide on a plant location. There are two alternatives under consideration: locate near the major raw materiels or locate near the major customers. Locating near the raw materials will result in lower fixed and veriable costs compared to locating near the market, but the owners beleve there would be a loss in sales volume because customers tend to favor local suppliers. Revenue per unit will be $190 in either case. Annual fixed costs (s millionsl 55 Variable cost per unit Expected annual desand (units) Onaha Kansas City !1.0 10, 400 11,000 Click here for the Excel Deta File Using the above information, determine which location would produce the greater profit. uld produce the greater gross proft of Kansas City Omaha
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- Mitch just built 4 franchise locations for his newest pizzerias and wants to decide where to put his headquarters. He makes 1 weekly visit to his Northside store (X = 3, Y = 10), 2 visits to his Eastside store (X = 4, Y = 6), 3 visits to his Southside store (X = 2, Y = 5) & 4 visits to his Westside store (X = 1, Y = 4). __________ 1. Using the store visits as weights, compute the coordinates of the center of gravity to help him with his location decision.Cassia Umi, president, heads Personal Trainer’s management team. Three managers report to herat the firm’s Chicago headquarters: Janet McDonald, manager, finance; Tai Tranh, manager, salesand marketing; and Reed Curry, manager, operations. The managers who run the 12 existing centers all report to Reed. Cassia wants the new supercenter to emphasize a wide variety of personalservices and special programs for members. If the supercenter approach is successful, it willbecome the model for Personal Trainer’s future growth. Cassia personally selected Gray Lewis, amanager with three years of fitness center experience, to run the new facility.The new supercenter will feature a large exercise area with state-of-the-art equipment, a swimming pool, a sporting goods shop, a health food store, and a snack bar. In addition, the center willoffer child care with special programs for various ages, a teen center, and a computer café. Cassiaalso wants members to have online access to customized training…Maximize profit = 4X + 4Y Subject to: 3X +5Y ≤ 150 X – 2Y ≤ 10 5X + 3Y ≤ 150 X, Y ≥ 0 Required: a- The corner point method to obtain the optimal point. b- Specify the profit value. c- Calculate the Slack for each constraint and state its formula.
- Please create an objective true using these two solutions. Solution1 - More accommodation/residence should be built in the airport itself as it would allow Pascal to save a lot of time consumed while reaching the airport from his house. He would stay in the built-in residence only during his workdays and in his house on the weekend. It will also allow many passengers to stay if their flights get postponed/canceled due to any reason. Solution 2 - If a prayer room/area is built in the airport itself, it will allow Rajput and other diverse travelers and people who work in the airport to complete their prayer in its proper time. Rajput could complete that specific prayer between the time after he checks in his luggage and the boarding time. PLEASE FOLLOW THESE REQUIRMENTS ASWELL OTHERWISE QUESTION WILL BE MARKED INCOMPLETE: Three levels of objectives are included. At the 1st-level, three or more objectives are included. Each 1st-level objective is broken into two or more 2nd-level…Two key elements to consider when developing a strategy to weather a perfect storm in the airline business are... 1) Anticipated demand and expected market structure 2) GDP and expected fuel prices 3) Competition and market share 4) Current market conditions and fuel prices19. 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 = 5
- SUBJECT : OPERATION RESEARCH 1. When problem become unrestricted after changing primal to dual simplex Method justify your statement with valid example. 2. Solve the following problem after finding its dual. Min z = x1 - 3x2 + 3x3 s.t. 3x1 - x2 + 2 x3 ≤ 7 2x1 + 4x2 ≥ -12 -4x1 + 3x2 + 8x3 ≤ 10 x1, x2, x3 ≥ 0n operations manager wants to use cost-profit-volume (CPV) analysis to decide the location of a new production facility. The total cost functions of the two alternative, Location A and Location B, are presented below. Given that the target production quantity (volume) is 10,000 units, which location the operations manager should choose and what is the corresponding total cost of this location Tca=260,000 +10Q Tcb=90,000 + 30Q Location B, $390,000 There is no difference between the two locations Location B, $360,000 Location A, $360,000 Location A, $390,0001. Transportation costs per ton of product vary with distance. For trucks the function is: TCt = 3+1.25d For rail it is: TCr = 5+d For barge it is: TCb = 6 + 1.1d where d is the distance in hundreds of miles and TC is dollars per ton. Make a table showing the least cost mode of transport for distances d = 1, 2, ...,10. Graph the problem and label the modal break points clearly. No graph paper, max 50% points on assignment.
- Bob Carlton's golf camp estimates the following workforce requirements for its services over the next two years: Quarter 1 2 3 4 5 6 7 8 Demand (hrs) 4,300 6,400 3,200 5,000 4,500 6,300 3,600 5,000 Each certified instructor puts in 480 hours per quarter regular time and can work an additional 120 hours overtime. Regular-time wages and benefits cost Carlton $7,200 per employee per quarter for regular time worked up to 480 hours, with an overtime cost of $20 per hour. Unused regular time for certified instructors is paid at $15 per hour. There is no cost for unused overtime capacity. The cost of hiring, training, and certifying a new employee is $10,000. Layoff costs are $4,000 per employee. Currently 8 employees work in this capacity. a. Find a workforce plan using the level strategy that allows for no delay in service. It should rely only on overtime and the minimum amount of undertime necessary. What is the total cost of the…Bob Carlton's golf camp estimates the following workforce requirements for its services over the next two years: Quarter 1 2 3 4 5 6 7 8 Demand (hrs) 4,300 6,400 3,200 5,000 4,500 6,300 3,600 5,000 Each certified instructor puts in 480 hours per quarter regular time and can work an additional 120 hours overtime. Regular-time wages and benefits cost Carlton $7,200 per employee per quarter for regular time worked up to 480 hours, with an overtime cost of $20 per hour. Unused regular time for certified instructors is paid at $15 per hour. There is no cost for unused overtime capacity. The cost of hiring, training, and certifying a new employee is $10,000. Layoff costs are $4,000 per employee. Currently 8 employees work in this capacity. a. Find a workforce plan using the level strategy that allows for no delay in service. It should rely only on overtime and the minimum amount of undertime necessary. What is the total cost of the…Consider the following linear program. Max 1A + 2B s.t 1A≤ 4 1B≤ 3 2A + 2B = 10 A, B ≥ 0 (a) Show the feasible region. (b) What are the extreme points of the feasible region? (b) What are the extreme points of the feasible region? smaller x-value (A, B) = (______) larger x-value (A,B)= (_____) (c) Find the optimal solution using the graphical procedure. (A, B) = (______)