A grain store has six types of grain, each varying in cost, quality, and nutritional content.Periodically, excess inventory of these grains are consolidated into two local products, Feed-M-All and Supreme-Feed.Feed-M-All sells for $6.50 for a 10-pound bag while Supreme-Feed sells for $8.50 for a 10-pound bag.These feeds are advertised as having the following nutritional content:

Grain

Minimum Protein

Minimum Fat

Maximum Carbohydrates

Feed-M-All

16%

18%

10%

Supreme-Feed

18%

18%

9%

The component grains have the following content characteristics:

Grain

Cost/10 lbs

Quality

Protein

Fat

Carbohydrates

Pounds Avail.

A

$ 4.75

4

15%

10%

10%

90

B

$ 4.00

2

20%

20%

8%

120

C

$ 3.75

1

10%

25%

5%

150

D

$ 4.25

3

15%

20%

10%

125

E

$ 4.50

3

20%

20%

10%

85

F

$ 5.00

4

25%

15%

12%

165

Targets for Feed-M-All are a cost of $ 4.35 per 10-pound bag, a quality rating of 2.25, along with the minimum percentages of protein and fat, and the maximum percentage of carbohydrates.Similar targets are set for Supreme-Feed with cost set at $ 4.60 and quality at 2.45.There must be at least a 70%-30% mix among these two local feeds.