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An animal feed to be mixed from soybean meal and oats must contain at least 168 lb of? protein, 27 lb of? fat, and 14 lb of mineral ash

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An animal feed to be mixed from soybean meal and oats must contain at least

168

lb of? protein,

27

lb of? fat, and

14

lb of mineral ash. Each sack of soybeans costs  

$21

and contains

70

lb of? protein,

9

lb of? fat, and

7

lb of mineral ash. Each sack of oats costs

?$7

and contains

21

lb of? protein,

7

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? Are the answers? reasonable? How could they be? interpreted?

 

 

Question content area bottom

 

Part 1

 

The minimum cost is

 

?(Round to the nearest? cent.)

 

Part 2

 

Let x be the number of sacks of soybeans and let y be the number of sacks of oats. The amounts that satisfy the minimum requirements at minimum? cost, are

x=? and y? 

 

?(Simplify your answers. Type integers or? fractions.)

 

Part 3

 

Are the answers? reasonable? How could they be? interpreted?

 

 

A.

The answers are not reasonable because it? doesn't make sense to buy a fraction of a sack. The number of sacks of soybeans and oats should be rounded down to the nearest whole sack.

 

 

B.

The answers are? reasonable, but they do not correspond to the minimum cost.

 

 

C.

The answers are not reasonable because it? doesn't make sense to buy a fraction of a sack. The number of sacks of soybeans and oats should be rounded up to the nearest whole sack.

 

 

D.

The answers are reasonable and the animal feed should be made from the exact amounts of sacks of soybeans and oats that were found in the previous step.