Question: Heading 1 Heading 2 Heading 3 The production manager for the Mt. Laurel soft drink company is considering the production of 2 kinds of soft

Heading 1 Heading 2 Heading 3 The production manager for the Mt. Laurel soft drink company is considering the production of 2 kinds of soft drinks: Regular (R) and Diet (D). Two of her limited resources are production time (8 hours = 480 minutes per day) and syrup (1 of her ingredients) limited to 675 gallons per day. To produce a regular case requires 2 minutes and 5 gallons of syrup, while a diet case needs 4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per case and profits for diet soft drink are $2.00 per case. Define R=# of regular soft drink cases, and D # of diet soft drink cases 7. What is the objective function that maximizes the profits? a 2R+ 4D b.3R + 2D 3D + 2R +2R 88 8. What is the production time constraint? a. 2R5D S 480 b. 2D +4R S 480 c. 2R+3D S 480 d. 3R +2D S 480 c. 2R+ 4D S 480 9. What is the syrup constraint? a. 2R 3D S 675 b. 3D + SR S 675 c. SR + 3D S 675 d. SR + 4D S 675 2R-4D S 675 3 v Av Paragraph Styles B 1 Uvala xx v ULUSLARAR pont Consider the following Linear Programming problem: Max Z = 60X + 5OY 10X + 204 s 200 8X+SY S80 Solve the above Linear Programming Problem Graphically and Determine the Optimal Quantities of X, Y, Slack and/or Surplus variables, and the Optimal Value of Z

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