The production manager for the Coca-Q8 soft drink company is considering the production of two kinds of soft drinks: Regular (R) and Diet (D). The company operates one 8-hour shift per day. Therefore, the production time is 480 minutes per day. During the production process, one of the main ingredients, syrup, is limited to maximum production capacity of 675 gallons per day. Production of a Regular case requires 2 minutes and 5 gallons of syrup, while production of 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. The LP formulation for this problem is given below.



Max. Z = $3R + $2D

s.t. 2R + 4D ≤ 480 (Time)
5R + 3D ≤ 675 (Syrup)
R, D ≥ 0

The sensitivity report for this problem is given below.

Adjustable Cells

Final Reduced Objective Allowable Allowable
Cell Name Value Cost Coefficient Increase Decrease
$B$6 Regular 90.00 0.00 3 0.33 2
$C$6 Diet 75.00 0.00 2 4 0.2



Constraints

Final Shadow Constraint Allowable Allowable
Cell Name Value Price R.H. Side Increase Decrease
$E$3 Production (minutes) 480.00 0.07 480 420 210
$E$4 Syrup (gallons) 675.00 0.57 675 525 315 How many cases of Regular and how many cases of Diet soft drink should Coca-Q8 produce to maximize daily profit?