fruit grower can use two types of fertilizer in her orange grove, brand A or brand B. The amounts (in pounds) of mitrogen, phosphoric acid, and chloride in a bag of each brand are given in the table. Tests indicate that the grove needs at least 1750 pounds of phosphoric acid and at most 500 pounds of chloride. Answer parts (A) and (B) below. Nitrogen Phosphoric Acid Chloride Pounds per Bag Brand A 362 Brand B 4 5 1

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Chapter2: Second-order Linear Odes
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A fruit grower can use two types of fertilizer in her orange grove, brand A or brand B. The amounts (in pounds) of
nitrogen, phosphoric acid, and chloride in a bag of each brand are given in the table. Tests indicate that the grove
needs at least 1750 pounds of phosphoric acid and at most 500 pounds of chloride. Answer parts (A) and (B) below.
Nitrogen
Phosphoric Acid
Chloride
GETT
Pounds per Bag
Brand A
3
5
2
+
(A) If the grower wants to maximize the amount of nitrogen added to the grove, how many bags of each mix should be used? How much nitrogen will be added?
The grower should add bags of brand A and
bags of brand B to maximize the amount of nitrogen added.
The maximum amount of nitrogen that will be added is pounds.
(B) If the grower wants to minimize the amount of nitrogen added to the grove, how many bags of each mix should be used? How much nitrogen will be added?
The grower should add bags of brand A and bags of brand B to minimize the amount of nitrogen added.
The minimum amount of nitrogen that will be added is pounds.
Brand B
4
5
1
Transcribed Image Text:A fruit grower can use two types of fertilizer in her orange grove, brand A or brand B. The amounts (in pounds) of nitrogen, phosphoric acid, and chloride in a bag of each brand are given in the table. Tests indicate that the grove needs at least 1750 pounds of phosphoric acid and at most 500 pounds of chloride. Answer parts (A) and (B) below. Nitrogen Phosphoric Acid Chloride GETT Pounds per Bag Brand A 3 5 2 + (A) If the grower wants to maximize the amount of nitrogen added to the grove, how many bags of each mix should be used? How much nitrogen will be added? The grower should add bags of brand A and bags of brand B to maximize the amount of nitrogen added. The maximum amount of nitrogen that will be added is pounds. (B) If the grower wants to minimize the amount of nitrogen added to the grove, how many bags of each mix should be used? How much nitrogen will be added? The grower should add bags of brand A and bags of brand B to minimize the amount of nitrogen added. The minimum amount of nitrogen that will be added is pounds. Brand B 4 5 1
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