QUESTION 6 1 pc In the simplex method, if there is a tie (equality) between decision variable and a slack (or surplus) variable in C-Z row for a maximization LP, selected. should be O decision variable O Slack variable O Any variable with highest posative value O surplus variable
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- Question Primer Inc. offers plumbing and air conditioning services to customers in Kumasi, Ghana. The company’s product strategy is to solve the customer’s problem irrespective of what it takes, at the time the customer needs it solved. The company provides same day service for customers, and theaim is to make the customer happy before leaving.The services of the company are available 24 hours a day, 7 days a week for customers. There is no extra charge for requests made on holidays, odd hours of the day, or in festive seasons. The company aims to be available at the call of customers without charging a pesewa extra, even at times when rival firms won’t get out of bed. The company fixes the price of the service before it begins, and customers can be assured of no extra charges. Irrespective of the customer’s location in the city, Primer Inc. does not charge additional fees for transportation. For all services, the company provides a one year guarantee on all parts and labour used,…Question 5: For a coffee shop, the cost associated with cups, coffee beans and lids are examples of ____costs. These ______ considered when building a MCS. Group of answer choices a Fixed costs; should be b Fixed costs; should not be c Variable costs; should not be d Variable costs; should be e None of these, these are programmed costsdent question I am having trouble formulating the objective function and constraints. Jeremy 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 rods is $1800 and the cost required to set up the production line for the 6-cylinder rods is $3200. Manufacturing costs are $16 for each 4-cylinder connecting rod and $20 for each 6-cylinder connecting rod. The production capacities are 5800 and 7200 for 6 and 4 cylinder rods respectively. The operating budget is $100,000. The selling prices are $55 per 4-cylinder rod and $70 per 6-cylinder rod. What is the optimal number of 4 and 6 cylinder rods that should be produced by the company? Identify the type of integer programming framework (Total Integer, Mixed Integer or Binary) that applies to this problem, develop the appropriate formulation (decision variables, objective function and constraints)
- Question 1. Busch Gardens Sweets is preparing for the Halloween rush. They prepare two sizes of Peanut/Raisin Ghoulish Delight and need to calculate how many bags of deluxe and standard mixes they can produce. • The deluxe mix takes 0.9 of a pound of raisins and 0.4 of a pound of peanuts.• The standard mix takes 0.7 of a pound of raisins and 0.6 of a pound of peanuts.The shop has 100 pounds of raisins and 70 pounds of peanuts. The profit on the deluxe mix is $1.80 and the standard mix profit is $1.60. The owner wants no more than 110 bags of each type prepared. Do not forget the non-negativity constraint and remember that you cannot sell partial bags (whole numbers only). Use Excel Solver Question 2. Take a screenshot (snip tool) of you excel spreadsheet and save it.Which of the following is not true? Question 6 options: 1) Climate involves statistics (e.g., long-term averages) but weather considers conditions at a particular time and place (e.g., one week of this summer). 2) The current weather at a location can be characterized by a single measurement, but climate requires many years of measurements (typically around 30) to characterize. 3) Both weather and climate can vary regionally (e.g., from one side of a mountain range to another). 4) Climate only refers to temperatures, but weather also includes other factors like wind, rain, and snow.Question 1 B A company produces 2 (two) different grades of gasoline – regular and premium from 3(three) components (1,2,3). The company wants to determine the optimal mix of the three components in each grade of the gasoline that will maximize profit. The maximum quantities available for each component and their cost per gallon are as follows:Component Cost per gallon maximum gallons available per day 1 2.50 5,000 2 2.60 10,000 3 2.84 10,000 In order to ensure the appropriate blend, each grade has certain specifications as follows: Grade Component Specs Selling Price per gallon Regular At most 30% component 1 At least 40% component 2 At most 20% component 3 2.90 Premium At least 25% component 1 At most 45% component 2 At Least 30% component 3 3.00 The company wants to produce at least 10,000 gallons of each grade of gasoline. Formulate a LP model including the ratio constraints, production constraints and the objective function for this question.
- Question 2 A particular road is used by N drivers each day. Each driver obtains a benefit v from the journey and incurs a cost c(N ) that increases with the number of drivers on the road due to congestion. Suppose that the cost incurred is given by c(N) = a+bN, for some positive numbers a, b. If the agent decides not to use the road, they receive 0. You may assume throughout that the number of drivers N can be any real number (rather than an integer). Each driver uses the road at most once. the number of drivers that join the road is Ne = (v−a)/b (iv) Suppose that the government charges a toll t (a congestion charge) for each journey. Find the optimum toll. Interpret your answer in terms of the externality that each driver imposes on others.QUESTION SIX (a) Suppose that a decision is faced with three decision alternatives and four states of nature. The following profit payoff table is constructed: Alternatives State of Nature 1S 2 S 3 S 4 S 1Α 2Α 3Α 18 15 13 12 14 16 15 10 19 8 11 15 Assuming that the decision maker has no knowledge about the probabilities of occurrence of the four states of nature, find the decisions to be recommended under each of the following criteria: iii. Minimax Reject criterion iv. Hurwicz criterion with 0.6 α =Question 4 (a) With reference to your department or one in a company or organization that you are familiar with that is involved in generating forecasts of air cargo traffic, propose the purposes for which the forecasts can be employed. In the process of generating air cargo traffic forecasts, appraise the forces that will promote air freight growth and the constraints the air cargo market are likely to face.
- Question 1 Double Exponential Smoothing should be applied to time series with ____________________. Group of answer choices a. no trend and no seasonality. b. trend but no seasonality. c. seasonality but no trend. d. both trend and seasonality. Question 2 An analyst fits a Holt’s Double exponential smoothing model in StatTools to a time series data on sales with the smoothing parameters to be optimized by the software. In the output she notes that the optimized smoothing parameter for trend to be 0.0000. What does this imply? Group of answer choices a. There is no trend in the data. b. There is both trend and seasonality in the data. c. There could be trend in the data, but it is not smoothed over time by the model. d. This output does not make any sense!Question 2CWD Manufacturing makes three components for sale to refrigeration companies. Thecomponents are processed on two machines: a shaper and a grinder. The times (in minutes)required on each machine are as follows: Machine Component Shaper Grinder 1 6 4 2 4 5 3 4 2 The shaper is available for 120 hours, and the grinder is available for 110 hours. No more than200 units of component 3 can be sold, but up to 1000 units of each of the other components canbe sold. In fact, the company already has orders for 600 units of component 1 that must besatisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. (see image) If there are two possible answers one will suffice. Where necessary a range analysis must be shown.(convert to minutes)a) What is the optimal solution (in words)? b) An additional 4 hours of shaper time became available. Evaluate the effect? Explainc) Two hours of Grinder time was lost. Evaluate the effect? d) An additional…Question 2CWD Manufacturing makes three components for sale to refrigeration companies. Thecomponents are processed on two machines: a shaper and a grinder. The times (in minutes)required on each machine are as follows: Machine Component Shaper Grinder 1 6 4 2 4 5 3 4 2 The shaper is available for 120 hours, and the grinder is available for 110 hours. No more than200 units of component 3 can be sold, but up to 1000 units of each of the other components canbe sold. In fact, the company already has orders for 600 units of component 1 that must besatisfied. The profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. (see image) If there are two possible answers one will suffice. Where necessary a range analysis must be shown.(convert to minutes)a) What is the optimal solution (in words)? b) An additional 4 hours of shaper time became available. Evaluate the effect? Explainc) Two hours of Grinder time was lost. Evaluate the effect? d) An additional…