Why do we call real solutions zeros?
2 answers:
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Using the given information the equation of the line is y = -3/2x + 2
Now replace x with any number and solve for y. Do this twice to get to points to plot on the graph:
Using X = 0:
y = -3/2(0) + 2, y = 2
First point is (0,2)
Now X = 4:
y = -3/2(4) + 2 = -6 + 2 = -4
Second point = (4,-4)
See attached image with plotted line:
Answer:
Explanation:we will solve this question with help of linear programming.
Now, let Ben goes x times in buffalo trip and goes y times in Philadelphia trip. Thus, according to the question, Min Z= 180x+300y
And s.t.r. 2x+3y≤105, where x≥5, y≥15.
since at (0,0) 0≤105(true), so area of 2x+3y≤105 will cover the origin.
But, 0≥5 and 0≥15 are false, so their area will not cover the origin.
Thus, after drawing the graph of these three lines we will get a feasible reason of triangle ABC, where point A≡(5,31.667), B≡(5,15), and C≡(30,15)
Z at A- 180×5+300×31.667=10,400.1
at B-180×5+300×15=1350( which is minimum.)
at C- 180×30+300×15=5,850
Thus, Ben should go 5 times to buffalo trip and 15 times to Philadelphia to minimize his cost which is $1350.
