In Exercises 5-14, an objective Junction and a system of linear inequalities representing constraints are given.
a. Graph the system of inequalities representing the constraints.
b. Final the value of the objective function at each corner of the graphed region.
c. Use the values in pan (b) to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.
Objective Function Constraints
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
Precalculus (6th Edition)
- A 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_forwardFind the maximum value of P=4x+3y subject to the constraints of Example 1. {x+y42x+y6x0y0arrow_forwardUse your schools library, the Internet, or some other reference source to find the real-life applications of constrained optimization.arrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning