A Fruit Juice Company Makes Two Drinks by Blending Apple

question 29

Multiple Choice

A fruit juice company makes two drinks by blending apple and pineapple juices. The percent of apple juice and pineapple juice in each drink are shown in the table. $\begin{array} { l l l } \text { Mixture } & \text { Drink A } & \text { Drink B } \\\text { Apple juice } & 30 \% & 60 \% \\\text { Pineapple juice } &70 \% & 40 \%\end{array}$ There are 1000 liters of apple and 1500 liters of pineapple juice available. The profit for drink A is $0.70 per liter and the profit for drink B is $0.60 per liter. What is the optimal production level for each type of drink? What is the optimal profit?

• A).The optimal profit is $1,666.67 when \(1,666 \frac { 2 } { 3 }\) liters of Drink A and \(1,666 \frac { 2 } { 3 }\) liters Drink B are produced.
• B)The optimal profit is $1,666.67 when \(1,666 \frac { 2 } { 3 }\) liters of Drink A and \(833 \frac { 1 } { 3 }\) liters Drink B are produced
• C)The optimal profit is $1,666.67 when \(833 \frac { 1 } { 3 }\) liters of Drink A and \(833 \frac { 1 } { 3 }\) liters Drink B are produced.
• D)The optimal profit is $1,666.67 when \(833 \frac { 1 } { 3 }\) liters of Drink A and \(1,666 \frac { 2 } { 3 }\) liters Drink B are produced.
• E)The optimal profit is $1,666.67 when \(2,142 \frac { 6 } { 7 }\) liters of Drink A and \(0\) liters Drink B are produced.

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