Farmer Brown wants to feed his cow a diet consisting of corn and hay, and he wants to provide it with an adequate daily amount of protein, carbohydrates, and fiber at the minimum cost possible.
Each basket of corn provides 8 units of protein, 4 units of carbohydrates, and 12 units of fiber. Each basket of hay provides 2 units of protein, 14 units of carbohydrates, and 4 units of fiber. The daily dietary requirements for his cow are 48 units of protein, 80 units of carbohydrates, and 88 units of fiber. The cost of corn is $10 per basket and the cost of hay is $3 per basket.Use these variables:
x = # baskets of corn
y = # baskets of hay
C = cost
(Note: In giving constraints below, to enter a ? symbol type >=. To enter a ? symbol, type <=. So a typical constraint might look something like this: 4x + 3y <= 25. In all expressions give the x term first and the y term second.)
1) Give the fiber constraint. _____
2) Give the corner point which is the intersection of the protein and fiber constraints? ( ____,____)