Question 3 programming problem: Consider the following linear Max z = 8x, + 5x, -5x, + 2x, < 10 7x, + 15x, <108 10x, + 12x, < 120-8i x, - 5x, < 5 x, x, 3 0 Use the graphical solution technique to find the optimal solution(s). What are the exact coordinates of x, & x2 (show the system of simultaneous linear equations)? What is the value of the objective function? Show all work.
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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 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.Given 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 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?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)QUESTIONS: 1. A refiner in city Q serves four customers near city W and maintains consignment inventory (owned by the refiner) at each location. Currently, the refiner uses TL (truckload) transportation to deliver separately to each customer. Each truck costs $(759) plus $(309) per stop. The refiner is considering aggregating deliveries to city W on a single truck. The demand of the first customer is 75 tons a year, the demand of the second customer is 30 tons per year, and the demand of the third and fourth customers is 10 tons per year. The product cost is $8,000 per ton, and it uses a holding cost of (24)%. The truck capacity is 20 tons. a. What is the optimal delivery policy to each customer if the refiner ships separately to each of them? What is the annual total inventory-related cost? b. What is the optimal delivery policy to each customer if the refiner aggregates shipments to each of the four customers on every truck that goes to city W? What is the annual total…
- 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 Answerelbtronics Firmware Engineer Campus 2024 Y 1. Analytical Ability and Problem... Question 8 2 5 6 1 B Attempted 6710 Revisit Later Select an opti A jeweller uses different coloured beads to make a necklace. He first threads five beads of different colours and places them in a line before tying a knot to make the necklace. The red bead is to the immediate right of the blue one. The blue bead is not adjacent to the yellow bead. The green bead is to the immediate left of the pink bead and is at one end of the string. Which bead is to the immediate night of the pink bead?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)?
- Question 2 A farmer in the Blue Mountains area of Jamaica wants to decide on the crop to plant next season. He wants to plant either ganja or coffee for export to the USA but need some help. He knows that if he plants ganja and the weather in the USA is predominantly cold he earns $10,000(US per month. If the weather is warm he earns $16,000. If he plants coffee and the weather is cold he earns 13,000 and if the weather is warm he earns $14000. In 40% of the years, the weather was cold and in 60 % the weather was warm. For $600, he could buy an expert weather forecast from CWD consulting. States of Nature with Profits ($) Does not include forecast cost Decision Warm Cold weather (C) Alternatives weather(W) Ganja $16,000 $10,000 Coffee $14,000 $13000 Prior Probabilities P(W) = 0.60 P(C) = .40 Conditional probability for a given state of nature where forecasts are either Good (G) or bad (B): That is: P (G|W) = 0.80; P (B|W) = 0.20; P (G|C) = 0.10; P (B|C) = 0.90 After vou have computed…Question 2 A farmer in the Blue Mountains area of Jamaica wants to decide on the crop to plant next season. He wants to plant either ganja or coffee for export to the USA but need some help. He knows that if he plants ganja and the weather in the USA is predominantly cold he earns $10,000(US per month. If the weather is warm he earns $16,000. If he plants coffee and the weather is cold he earns 13,000 and if the weather is warm he earns $14000. In 40% of the years, the weather was cold and in 60 % the weather was warm. For $600, he could buy an expert weather forecast from CWD consulting. States of Nature with Profits ($) Does not include forecast cost Decision Warm Cold weather (C) Alternatives weather(W) Ganja $16,000 $10,000 Coffee $14,000 $13000 Prior Probabilities P(W) = 0.60 P(C) = .40 Conditional probability for a given state of nature where forecasts are either Good (G) or bad (B): That is: P (G|W) = 0.80; P (B|W) = 0.20; P (G|C) = 0.10; P (B|C) = 0.90 After vou have computed…Question 2 A farmer in the Blue Mountains area of Jamaica wants to decide on the crop to plant next season. He wants to plant either ganja or coffee for export to the USA but need some help. He knows that if he plants ganja and the weather in the USA is predominantly cold he earns $10,000(US per month. If the weather is warm he earns $16,000. If he plants coffee and the weather is cold he earns 13,000 and if the weather is warm he earns $14000. In 40% of the years, the weather was cold and in 60 % the weather was warm. For $600, he could buy an expert weather forecast from CWD consulting. States of Nature with Profits ($) Does not include forecast cost Decision Alternatives Warm weather(W) Cold weather (C) Ganja $16,000 $10,000 Coffee $14,000 $13000 Prior Probabilities P(W) = 0.60 P(C) = .40 Conditional probability for a given state of nature where forecasts are either Good (G) or bad (B): That is: P (G|W) = 0.80; P (B|W) = 0.20; P (G|C) = 0.10; P (B|C) = 0.90 After you have computed…