Provide an appropriate response.A store makes two different types of smoothies by blending different fruit juices. Each bottle of Orange Daze smoothie contains 10 fluid ounces of orange juice, 4 fluid ounces of pineapple juice, and 2 fluid ounces of blueberry juice. Each bottle of Pineapple Blue smoothie contains 5 fluid ounces of orange juice, 6 fluid ounces of pineapple juice, and 4 fluid ounces of blueberry juice. The store has 500 fluid ounces of orange juice, 360 fluid ounces of pineapple juice, and 250 fluid ounces of blueberry juice available to put into its smoothies. The store makes a profit of $1.50 on each bottle of Orange Daze and $1 on each bottle of Pineapple Blue. To determine the maximum profit, the simplex method can be used and the final tableau is: x1 x2

Question

x3  x4  x5  M   Give an interpretation to the number  in the bottom row.



A.  represents the number of Pineapple Blue smoothies they should make to maximize profit. (In practice this would be rounded to 0).
B.  is the marginal value of the pineapple juice. If the amount of pineapple juice available were increased by one fluid ounce, the profit would increase by  dollars.
C.  is the value of the slack variable x₃  in the optimal solution. The slack variable x₃  corresponds to the orange juice constraint. Since x₃  is greater than zero, this means that in the optimal solution, not all the available orange juice is used. Thus the marginal value of the orange juice is zero.
D.  is the marginal value of the orange juice. If the amount of orange juice available were increased by one fluid ounce, the profit would increase by  dollars.

Answer 1

Answer: D