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Answer:
The answer is below
Step-by-step explanation:
Given that the minimum monthly requirements are 840 pounds of phosphoric acid, hence:
35 pounds of phosphoric acid mix A + 14 pounds of phosphoric acid mix B ≥ 840 pounds of phosphoric acid
35x + 14y ≥ 840
The minimum monthly requirements are 540 pounds of nitrogen, hence:
15 pounds of nitrogen mix A + 18 pounds of nitrogen mix B ≥ 540 pounds of nitrogen
15x + 18y ≥ 540
The minimum monthly requirements are 768 pounds of potash, hence:
16 pounds of potash mix A + 64 pounds of potash mix B ≥ 768 pounds of potash
16x + 64y ≥ 768
Also, x ≥ 0 and y ≥0.
Therefore the equations are:
35x + 14y ≥ 840
15x + 18y ≥ 540
16x + 64y ≥ 768
x ≥ 0 and y ≥ 0
Plotting with geogebra gives the graph below.
The point are (0,60), (48,0), (18,15), (32,4)
