A Fruit Juice Company Makes Two Drinks by Blending Apple

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.