Suppose an Animal Feed to Be Mixed from Soybean Meal $\frac { 14 } { 11 }$

Multiple Choice

Suppose an animal feed to be mixed from soybean meal and oats must contain at least 100 lb of protein, 20 lb of fat, and 9 lb of mineral ash. Each 100-lb sack of soybean meal costs $20 and contains 50 lb of protein, 10 lb of fat,And 8 lb of mineral ash. Each 100-lb sack of oats costs $10 and contains 20 lb of protein, 5 lb of fat, and 1 lb of Mineral ash. How many sacks of each should be used to satisfy the minimum requirements at minimum cost?
Fractional sacks are allowed.

A) 2 sacks of soybeans and 0 sacks of oats
B) 0 sacks of soybeans and 4 sacks of oats
C) $\frac { 14 } { 11 }$ sacks of soybeans and $\frac { 20 } { 11 }$ sacks of oats
D) $\frac { 7 } { 3 }$ sacks of soybeans and $\frac { 5 } { 6 }$ sacks of oats