3. The Grand Harbor Apple Company has an accurate forecast of the year's apple harvest, shown below, and wishes to plan production of applesauce and apple JUICe.

Apple Type

a. Yellow Transparent

b. Jonathan

c. Winesap

Harvest (tons)

15

10

20

A batch of applesauce requires 50 pounds of Yellow Transparent apples, 15 pounds of Jonathan apples, and 35 pounds of Winesap apples. The requirements for a batch ofjuice are 20 pounds of Yellow Transparent, 30 pounds of Jonathans, and 30 pounds of Winesaps. Grand Harbor would like to produce at least 300 batches of applesauce and 400 batches ofjuice. Profit per batch is $57 and $48, respectively. Formulate a linear program that maximizes profit. Each ton is 2,000 pounds. Do not attempt to solve the formulated linear program.