For Exercises 13-18,
a. For the given constraints, graph the feasible region and identify the vertices.
b. Determine the values of
c. Determine the maximum or minimum value of the objective function on the feasible region.
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- Use your schools library, the Internet, or some other reference source to find the real-life applications of constrained optimization.arrow_forwardA company manufactures two fertilizers, x and y. Each 50-pound bag of fertilizer requires three ingredients, which are available in the limited quantities shown in the table. The profit on each bag of fertilizer x is 6 and on each bag of y is 5. How many bags of each product should be produced to maximize the profit? Ingredient Number of Pounds in Fertilizer x Number of Pounds in Fertilizer y Total number of Pounds Available Nitrogen 6 10 20,000 Phosphorus 8 6 16,400 Potash 6 4 12,000arrow_forwardFor Exercise, a. For the given constraints, graph the feasible region and identify the vertices. b. Determine the values of x and y that produce the maximum or minimum value of the objective function on the feasible region. c. Determine the maximum or minimum value of the objective function on the feasible region. x2 0, y 2 0 2x + y < 40 x + 2y < 50 Maximize: z 9.2x + 8.1yarrow_forward
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