Set up the initial simplex tableau for each of the given problems. You will be asked to solve these problems in Exercises 19-22.
Juice Business A juice blender has the following amounts of three kinds of juice: 90 gallons of pineapple juice, 80 gallons of orange juice, and 50 gallons of mango juice. To create its signature juice WildSplash, the juice blender uses 2 gallons of pineapple juice, 1 gallon of orange juice, and 1 gallon of mango juice. To create the new mixture TastyTreat, thejuice blender uses 1, 2, and 1 gallon, respectively, of each type of juice. If the juice blender sells the mixtures wholesale at the price of $12 for a batch of WildSplash and $10 for a batch of TastyTreat, how many batches of each product should be created to obtain maximum gross income? What is the maximum gross income?
Want to see the full answer?
Check out a sample textbook solutionChapter 7 Solutions
Mathematics with Applications and Mylab Math with Pearson EText -- Title-Specific Access Card Package
- When Gloria spent 15 minutes on the elliptical trainer and then did circuit training for 30 minutes, her fitness app says she burned 435 calories. When she spent 30 minutes on the elliptical trainer and 40 minutes circuit training she burned 690 calories. Solve the system {15e+30c=43530e+40c=690 for e, the number of calories she burns for each minute on the elliptical trainer, and c, the number of calories she burns for each minute of circuit training.arrow_forwardUsing the method of addition, is there only one way to solve the system?arrow_forwardWrite a uniform motion problem similar to Example 4.15 that relates to where you live with your friends or family members. Then translate to a system of equations and solve it.arrow_forward
- What is a system of linear equations in the variables x, y, and z?arrow_forwardSolve each system using substitution and elimination. {x2+y2=23y=x23arrow_forwardA forester is making a gasoline-oil mixture for a chainsaw engine. The forester has 2 gallons of a mixture that is 32 parts gasoline and 1 part oil. How many gallons of gasoline should the forester add to bring the mixture to 50 parts gasoline and 1 part oil?arrow_forward
- Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice UniversityCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill