Chapter 7.5, Problem 1E

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?