The production manager for the Coory soft drink company is considering the production of two kinds of soft drinks: regular (R) and diet(D). Two of the limited resources are production time (8 hours = 480 minutes per day) and syrup (1 of the 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. What is the time constraint?
A) 2D + 4R ≤ 480
B) 2R + 3D ≤ 480
C) 3R + 2D ≤ 480
D) 2R + 4D ≤ 480

Question

Quizplus · Accepted Answer

The time constraint is based on the production time per case for each type of soft drink. Regular (R) requires 2 minutes per case and Diet (D) requires 4 minutes per case. The total available production time is 480 minutes per day. Therefore, the time constraint equation is 2R + 4D ≤ 480, where R is the number of regular cases and D is the number of diet cases produced.

The Production Manager for the Coory Soft Drink Company Is