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- 1. A specific assignment of values to decision variables is called what? a. Constraint b. Feasible c. Solution d. None of the above 2. Which of the following must be true of a feasible solution a. All of what Solver calls changing variables must be greater than 0 b. It is optimal c. It violates no constraints d. None of the abovea. What is the orrect graph that shows the feasible region for the problem. b. What are the extreme points of the feasible region? c. What is the correct graph that shows the optimal solution for the problemIn the problem on excel : 1.What are the decision variables 2.What is the objective functions 3. What are the 11 constraints and explain A used t company, owned by Musa in Ottawa sells 7 different brands covering 3 different products. These are 4 Brands of Cars: Toyota, Honda, Chevrolet and BMW; 2 brands of Motorcycles: Suzuki and Yamaha, and 1 brand of Sailboats: Amel. Musa knows that his sales floor which he will display his products is 70,000 square feet, and that a Car takes 60 square feet of space, a motorcycle takes 20 square feet of space, and a sailboat takes 800 square feet of space. The profit that can be made for selling each of 7 different items is listed below: ITem Profit per unit Car - Toyota $2800 Car - Honda $3900 Car - Chevrolet $2,100 Car - BMW $5000 Motorcycle - Suzuki $1,000 Motorcycle - Yamaha $2,250 Sailboat - Amel $9,500 The transportation company is trying to determine how many of each item to order to maximize profit, given the following restrictions:…
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- what will happen if the right hand side value of a constraint in two variable linear programming problems is changed? a. optimal measure of performance may change b. parallel shift must be made in the graph of that constraint c. optimal valued for one or more of the decision variables may change d. all of the above e. none of the aboveSuppose a certain 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 $2,200, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,300. Manufacturing costs are $12 for each 4-cylinder connecting rod and $16 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 6,000 6-cylinder connecting rods and 8,000 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 set up to…Can you give me a clear answer to this question: Decision Variables: Objective Function: Constraints: (By table) Explicit constraints: Implicit contraints:
- 1. Suppose you are going on a weekend trip to a city that is d miles away. Develop a model that determines your round-trip gasoline costs. What assumptions or approximations are necessary to treat this model as a deterministic model? Are these assumptions or approximations acceptable to you? 2. Suppose that a manager has a choice between the following two mathematical models of a given situation: (a)a relatively simple model that is a reasonable approximation of the real situation, and (b)a thorough and complex model that is the most accurate mathematical representation of the real situation possible. Why might the model described in part (a) be preferred by the manager?Show the complete Linear Programming Model. Show solutions (i.e. decision variables, objective function, subject to constraints, etc.) Q. A gold processor has two sources of gold ore, source A and source B. In order to keep his plant running, at least three tons of ore must be processed each day. Ore from source A costs $1,000 per ton to process, and ore from source B costs $500 per ton to process. Costs must be kept to less than $4,000 per day. Moreover, Government Regulations require that the amount of ore from source B cannot exceed twice the amount of ore from source A. If ore from source A yields 2 oz. of gold per ton, and ore from source B yields 3 oz. of gold per ton, how many tons of ore from both sources must be processed each day to maximize the amount of gold extracted subject to the above constraints? Formulate the LP model.Suppose a certain 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 $2,300, and the cost required to set up the production line for the 6-cylinder connecting rods is $3,500. Manufacturing costs are $16 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 5,000 6-cylinder connecting rods and 8,000 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 set up to…