(Use this problem statement to answer the next two questions and Show your work) The production manager for the Coory soft drink company is considering the production of two kinds of soft drinks: regular and diet. Two of her limited resources are production time (8 hours = 480 minutes per day) and syrup (one 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. 18) (S) What is the objective function? A) $3D + $2R B) $4D + $2R C) $4R + $2D D) $2R + $4D E) $3R + $2D 19) (S) What is the time constraint? A) 2R + 5D 480 B) 2R + 4D 480 C) 2R + 3D 480 D) 2D + 4R 480 E) 3R + 2D 480 20) (S) Non-negativity constraints A) restrict the decision variables to zero. B) restrict the decision variables to positive values. C) restrict the decision variables to negative values. D) do not restrict the sign of the decision variable. E) both A and B