Sunday 5 December 2021

A fruit grower can use two types of fertilizer in his 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.

A fruit grower can use two types of fertilizer in his 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 2500 pounds of phosphoric acid and at most 800 pounds of chloride. Answer parts​ (A) and​ (B) below.

 (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?
First use the information given in the table to create constraints and an equation for the amount of nitrogen added. Let x represent the number of bags of brand A and let y represent the number of bags of brand B added. The equation for the amount of nitrogen added to the grove is shown below.





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