When graphing inequalities, the dependent variable, or <em>y</em>, is placed on the left hand side of the equation while the right side has the other variables
One possible solution of the inequality is <u>(20, 60)</u>
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The given parameters are;
The amount of supplies Jonathan has = Enough to make 90 tacos
Price at which each taco is sold = $3
Price at which each burrito is sold = $7
The amount of tacos and burritos Jonathan must sell each day = $420
Number of tacos sold = x
Number of burritos sold = y
Required:
To write and solve the system of inequalities graphically and determine one possible solution
Solution:
The system of inequalities are;
x + y ≤ 90
3·x + 7·y ≥ 420
To plot the graphs of the above inequalities, we have;
y ≤ 90 - x
y ≥ 420/7 - 3·x/7
y ≥ 60 - 3·x/7
From the graph of the inequality, the vertices of the triangle of the feasible region are;
(0, 90), (0, 60), and for accuracy, the third vertex is found as follows;
90 - x = 60 - 3·x/7
x = 52.5
y = 90 - x
∴ At the vertex point, y = 37.5
The third vertex is (52.5, 37.5)
The vertices of the triangle of the feasible region are; (0, 90), (0, 60), and (52.5, 37.5), and one <u>possible solution</u> inside the feasible region is <u>(20, 60)</u>
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Learn more about graphing inequalities here;
