Answer:
see attached
Explanation:
The graph is drawn by locating the boundary line, and identifying the shaded area.
Boundary line
For this problem, the easiest way to graph the equation is to consider the x- and y-intercepts.
The x-intercept is found by solving the equality for x when y=0.
25x = 1000 ⇒ x = 1000/25 = 40
The y-intercept is found by solving the equality for y when x=0.
200y = 1000 ⇒ y = 1000/200 = 5
The inequality symbol (≥) includes the "or equal to" case, so the line is part of the solution set. It is drawn as a solid line.
Plot the points (0, 5) and (40, 0) and draw a solid line between them.
Shading
Considering the variables in relation to the inequality symbol, we have ...
x ≥ ( )
y ≥ ( )
This means the shading will be to the right (where x-values are greater) and above (where y-values are greater) the boundary line.
Note that both x- and y-coefficients are positive. For this sort of analysis, we need to choose a variable with a positive coefficient, or rewrite the inequality so that at least one variable has a positive coefficient.
Per the problem statement, the graph includes first-quadrant values only.