3. LP Modeling - Simple blending problem There is a company to make mixed juice products. The company wants to maintain the taste of juice by adding and mixing juices, such as orange, banana and pineapple. The sugar content of three juices - orange, banana, and pineapple - is 15, 18, and 25 percent per gallon, respectively. The cost per gallon is $0.80 for orange juice, $1.20 for banana juice, and $1.60 for pineapple juice. How much of each must be mixed together to achieve one gallon of mixed juice that has a sugar content of at least 19 percent to minimize cost? o a) Please formulate this problem as a LP. MUST define the decision variables first! Then, identify the objective function and constraints. b) Solve this problem using graphical method. c) Solve the problem using LINDO or Excel Solver and attach the output. d) Please explain the production plan based on your LP model's input and output. For LP model and output, please use "Courier New" font