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- Operation Research Question QUESTION TWO a) Simulation techniques have been used to analyze problems of two distinct types: Practical real-life problems and theoretical problems related to basic sciences. Illustrate the statement giving examples of each type.question 7 You manage an ice cream factory that makes two flavors: Creamy Vanilla and Continental Mocha. Into each quart of Creamy Vanilla go 2 eggs and 3 cups of cream. Into each quart of Continental Mocha go 1 egg and 3 cups of cream. You have in stock 450 eggs and 750 cups of cream. You make a profit of $3 on each quart of Creamy Vanilla and $2 on each quart of Continental Mocha. How many quarts of each flavor should you make to earn the largest profit? HINT [See Example 2.] (If an answer does not exist, enter DNE.) Creamy Vanilla quartsContinental Mocha quartsQuestion 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 on LP*A company produces two products that are processed on two assembly lines. Assembly line one has 100 available hours and assembly two has 42 available hours. Each product requires 10 hours of processing time in assemble line one. Whilst on assemble line two, product one requires 7 hours and product two 3 hours. The profit for product one is ghc 6 per unit. The profit for product two is ghc 4 per unit. Management wishes to know how many units of each product to produce in order to maximize total profit. a) Define the decision variables for this Linear Programming problem b) Formulate a LP model for this problem c) Solve this model using graphical analysis.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.Question 5 AIT computer department purchases a new computer every two years with preferences for three models; T1, T2 and T3. If the present model is T1, the next computer may be T2 with probability 0.2 or T3 with probability 0.15. If the present model is T2, the probabilities of switching to T1 and T3 are 0.6 and 0.25 respectively. And if present model is T3 then, the probabilities of switching to T1 and T2 are 0.5 and 0.1 respectively. Represent the situation as a Markov chain.
- 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…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 : One way for a manager of a property to increase the net operating income of a retail store is to increase the flow of customer traffic into the store. If the increased traffic results in increased sales, then the net operating income of the store will increase. If this can be sustained then the manager has increased the value of the property. True or FalseWhich 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.dent 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)