Allie’s Apples, Inc. purchases apples in bulk and sells two products, boxes of apples and jugs of cider. Allie’s has capacity limitations of three kinds: warehouse space, crating facilities, and pressing facilities. A box of apples requires 6 units of warehouse space, 2 units of crating facilities, and no pressing facilities. A jug of cider requires 3 units of warehouse space, 2 units of crating facilities, and 1 unit of pressing facilities. The total amounts available each day are: 1,200 units of warehouse space, 600 units of crating facilities, and 250 units of pressing facilities.

a. If the only capacity limitations were on warehouse facilities, and if all warehouse space were used for the production of apples, how many boxes of apples could be produced in one day? 200. How many jugs of cider could be produced each day if, instead, all warehouse space were used in the production of cider and there were no other capacity constraints?

b. Following the same reasoning, draw a red line to represent the constraints on output to limitations on crating capacity. How many boxes of apples could Allie produce if he only had to worry about crating capacity?

c. Finally draw a black line to represent constraints on output combinations due to limitations on pressing facilities. How many boxes of apples could Allie produce if he only had to worry about the pressing capacity and no other constraints? An infinite number. How many jugs of cider? 

d. Now shade the area that represents feasible combinations of daily production of apples and cider for Allie’s Apples.