What is the shadow price for the resource C constraint?
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What is the shadow price for the resource C constraint?
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- 1.DEFINE THE OBJECTIVES 2.DEFINE THE CONSTRAINTS 3.DEFINE THE DECISION VARIABLES 4.PARAMETERS 5.GRAPH – PLOT THE CONSTRAINTS Kindly write clearly with complete solution and box your final answer. Thank you PROBLEM: A nutritionist has learned from a nutrition book that his family needs at least 600 grams of protein and at least 30 mg of iron per day for sound health. These nutrients can be obtained from meat and vegetable products. Each pound of meat costs an average 30 pesos and contains an average of 300 grams of protein and 30 mg of iron while each pound of vegetable cost 30 pesos and has 20 grams of protein and 10 mg of iron. He wants to determine the quantities of food that meet the nutritional requirements at least cost.Consider a capital budgeting problem with six projects represented by 0-1 variables x1, x2, x3, x4, x5, and x6. a. Write a constraint modeling a situation in which two of the projects 1, 3, and 6 must be undertaken. b. In which situation the constraint "x3 - x5 = 0" is used, please explain clearly: c. Write a constraint modeling a situation in which project 2 or 4 must be undertaken, but not both. d. Write constraints modeling a situation where project 1 cannot be undertaken IF projects 3 also is NOT undertaken. e. Please explain clearly the situation in which the following 3 constraints are used simulataneously (together): x41. Use the following situation to answer each question. a. Jules is in the business of constructing dog houses. A small dog house requires 8 square feet (ft²) of plywood and 6ft² of insulation. A large dog house requires 16ft2 of plywood and 3ft² of insulation. Jules has available only 48ft2 of plywood and 18ft2 of insolation. Write the constraints on the number of small (x) and large (y) dog houses that he can build with the available supplies and graph the solution set to the system of constraints. 1. Determine the Constraints (there are 4) 2. Graph the Constraints 3. Identify each vertex on the graph 4. A small dog house sells for $15 and a large dog house sells for $20, then how many dog houses of each type should be built to maximize the revenue to satisfy the constraints? a. Determine the linear function in two variables for the situation above. b. Using the vertices, determine the how many dog houses of each type should be built to maximize the revenue to satisfy the…to part a, write the linear constraints necessary to enforce this restriction. 2) We have just solved a product-mix problem with 4 types of products (W, X, Y, Z), where the total profit (in $ US) is maximized and Excel Solver generates the sensitivity report given in the Table below. Please pick the best answer for the following questions regarding sensitivity analysis and give explanation for each answer. Variable Cells Objective Coefficient 450 Final Reduced Allowable Allowable Name Value 23.36 Cost Increase 300 Decrease 66.67 42.86 1E+30 Y 17.55 0. 1150 350 ??? 27.27 27.27 800 300 W ?2? -95.45 95.45 IE+30 Constraints Constraint Final Shadow Allowable Allowable Decrease Increase 1E-30 Name Value Price R.H. Side 254.55 5545.45 730 29200 33590 91 5800 730 29200 60500 Resouree 1 Resource 2 71.82 280 193 2800 8566.67 Resource 3 0.18 1E-30 26909.09 Resource 4 0.Suppose that the consumer has available income equal to Y, and the price of the goods is respectively p1 and p2. i. Derive the expressions of the quantities that maximise the utility of the consumer under the budget constraint. ii. Provide a diagram of the optimal solution.Find the minimum and maximum values of z = 2x + 3y, if possible, for the following set of constraints. x+y≤9 -x+y≤3 2x-y≤ 12 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The minimum value is B. There is no minimum value. (Round to the nearest tenth as needed.) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum value is B. There is no maximum value. . (Round to the nearest tenth as needed.)I need the answer as soon as possible9. A company sells two types of shoes. The first uses 2 units of leather and 2 units of synthetic material and yields a profit of $8 per pair. The second type requires 5 units of leather and 1 unit of synthetic material and gives a profit of $10 per pair. If there are 40 units of leather and 16 units of synthetic material available, how many pairs of each type of shoe should be manufactured to maximize profit? What is the maximum profit?