The following is a graph of a feasible region of a maximization linear programming problem: X₂ 3 2. 1 O X2 < 3 1 2 3 4 5 6 Which of the following equations represented on the graph is redundant and is not a border of the feasible region? O 4x1 + 6x2 ≤ 24 X1 + 4x2 ≥ 4 O X1-2x2 ≤ 2 X2 ≤ 2 X₁
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- Problem 7-09 (Algorithmic) Hawkins Manufacturing Company produces connecting rods for 4- and 6-cylinder automobile engines using the same production line. The cost required to set up the production line to produce the 4-cylinder connecting rods is $1,400, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,100. Manufacturing costs are $15 for each 4-cylinder connecting rod and $18 for each 6-cylinder connecting rod. Hawkins makes a decision at the end of each week as to which product will be manufactured the following week. If a production changeover is necessary from one week to the next, the weekend is used to reconfigure the production line. Once the line has been set up, the weekly production capacities are 6,500 6-cylinder connecting rods and 8,200 4-cylinder connecting rods. Let X4 = the number of 4-cylinder connecting rods produced next week X6 = the number of 6-cylinder connecting rods produced next week S4= 1 if the production line is…Question Help Tract Tract Coorainates 101 2,000 5,000 10,500 (24,44) (25,24) (52.45) (52,18) (80,48) (70,20) (90,25) 102 103 104 7.200 105 10,000 21,000 106 107 12,000 a) The center-of-gravity coordinates for the location of the proposed outlet in Mobile, Alabama should be: x = 65.63 (round your response to two decimal places). y = 29.69 (round your response to two decimal places). %3D b) Census tracts 103 and 105 are each projected to grow by 30% in the next year The new center-of-gravity coordinates for the location of the proposed outlet in Mobile, Alabama should be: orrect: 0 (round your response to two decimal places). Enter vour answer in the answer box and then click Check AnswerQuestion 1: Market planning, Inc. a marketing research firm, has obtained the prescription sales data for 20 independent pharmacies (attached). In this table y is the average weekly prescription sales over the past year (in units of $1,000), x1 is the floor space (in square feet), x2 is the percentage of floor space allocated to the prescription department, x3 is the number of parking spaces available to the store, x4 is the weekly per capita income for the surrounding community (in units of $100), and x5 is a dummy variable that equals 1 if the pharmacy is located in a shopping center and 0 otherwise. Regress average weekly prescription sales against different combinations of the independent variables. What is the best model? Discuss what the parameter coefficients say about prescription sales.
- Q: Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $B$5 consider Cake (C) 0 -0.5 4.5 0.5 1E+30 $C$5 consider Dozen Cookies (D) 10 0 10 1E+30 1 what does the value minus .5 for the reduced cost of C mean (other than it is the change in thevalue of the coefficient in the objective function so that the solution includes a positive amountof C)?Q-1)A glass melting furnaces feed auto plumping machines for producing the electric lamp casing (balloon),there are two main kinds can be produced, the original and the big one, they must produce at least 25 million of the original but not accede over 35 million ,and they must produce 3 million of the big one, however the ratio of the original must be at least 5 times to the big one which make a profit double the original, producing million of the big one utilize 5% Of the available materials but the original utilize 2.5% of the available materials ,For this problem ,the objective function is: Max Z =0.5X1+2X2 O MIN Z =2X1+X2 O Max Z =2X1+2X2 O Max Z =2X1+X2Given the region of feasible solutions with corner points of (0,3), (4,2), (6,3), and (6,6), find the corner point that would minimize the objective function z = x +10y and state the minimum. Question 3 options: 66 3 24 36
- QUESTION 8 The variable to remove from the current basis is O the variable with the biggest positive ratio value. O the variable with the smallest positive ratio value O the variable with the smallest positive cj - zj value. O the variable with the biggest positive cj - zj value.Question 28 Which of the following is NOT a corner point of the feasible region of max z = 3x + 2y subject to the following : 3x + 2y 2 6 2x + y s 10 2x + 3y < 15 x20 y2 0 O (0, 5) O (5, 0) (3.75, 2.5) O (25, 3.75)QUESTION I Automobile Alliance, a large automobile manufacturing company, organizes the vehicles it manufactures into three families: a family of trucks, a family of small cars, and a family of midsized and luxury cars. One plant outside Detroit, MI, assembles two models from the family of midsized and luxury cars. The first model, the Family Thrillseeker, is a four-door sedan with vinyl seats. plastic interior, standard features, and excellent gas mileage. It is marketed as a smart buy for middle- class families with tight budgets, and each Family Thrillseeker sold generates a modest profit of $3,600 for the company. The second model, the Classy Cruiser, is a two-door luxury sedan with leather seats, wooden interior, custom features, and navigational capabilities. It is marketed as a privilege of affluence for upper-middle-class families, and each Classy Cruiser sold generates a healthy profit of $5,400 for the company. Rachel Rosencrantz, the manager of the assembly plant, is…
- QUESTION 2 a) b) Ferrero Candy Company makes three types of candy, which are solid, fruit and cream- filled and packages these candies in three assortments. A box of assortment I contains 4 solids, 4 fruits and 12 creams. While, a box of assortment II contains 12 solids, 4 fruits and 4 creams. Lastly, a box of assortment III contains 8 solids, 8 fruits and 8 creams. The company can manufacture up to 4800 solids, 4000 fruits and 5600 cream candies weekly. The profit each box of assortment I, II and III are RM4, RM3 and RM5 respectively. The company wishes to maximize its profit. Formulate the problem as a linear programming model. A manufacturing company produces three types of products (R, S and T). The following is an incomplete final simplex tableau for a linear programming maximization problem. X₁, X₂ and X3 represents the units of products R, S and T, respectively. S₁, S2 and S3 are the slack variables for Resources 1, 2 and 3, respectively. i. ii. A 5 4 Basic X₂ X3 X₁ Zj Cj-Zj X₁…Question 1 An electronic component manufacturer has two facilities producing a range of resistors. Facility 1 costs €2000 per day to operate. Facility 2 costs €2500 per day to operate. The production capacities per day are as follows: Facility 1 Facility 2 Orders 25,000 Resistors 1% tolerance: 400 300 Resistors 5% tolerance 300 400 27,000 Resistors 10% tolerance 200 500 30,000 How many days should the manufacturer operate each facility in order to minimise its costs and still produce sufficient resistors to meet its orders? a. Formulate the problem as a linear programming model (hint: let X1 represent the number of days that Facility 1 should operate and X2 represent the number of days that Facility 2 should operate). b. Solve the problem using graphical linear programming (corner point) techniques. Question 2 Solve question 1 above using Excel. The graph and minimum cost result should automatically update if any of the constraints or objective function change.Question THREE: Suppose you are given a set of data for output at a company which manufactures detergents over a period of time. You have determined a relation between total operating cost and the quantity produced and is given by the linear regression model as follows: TC=20,000+2,500Q, where TC=Total Operating Cost (in $) per annum and Q = Quantity produced per annum Required: i. Determine the total operating cost in the event that quantity of production is at 4,500, 12,500 and 7,000units. ii. What do you think would be your reservations in relaying on the linear regression model for budgetary planning purposes?