Liam is constructing a square in which two of its vertices are points A and B. He has already used his straightedge and compass
to construct the lines and arcs shown.
What should Liam do for his next step?
A. Place the point of the compass on point A and draw any arc above it.
B. Use the straightedge to draw a horizontal line that contains point E.
C. Use a straightedge to draw AE¯¯¯¯¯.
D. Place the point of the compass on point B and draw an arc that intersects BE¯¯¯¯¯, using AB as the width for the opening of the compass.
What should Liam do for his next step?
A. Place the point of the compass on point A and draw any arc above it.
B. Use the straightedge to draw a horizontal line that contains point E.
C. Use a straightedge to draw AE¯¯¯¯¯.
D. Place the point of the compass on point B and draw an arc that intersects BE¯¯¯¯¯, using AB as the width for the opening of the compass.
1 answer:
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We have been given a system of inequalities and an objective function.
The inequalities are given as:
And the objective function is given as:
In order to find the minimum value of the objective function at the given feasible region, we need to first graph the region.
The graph of the region is shown below:
From the graph, we can see that corner points of the feasible region are:
(x,y) = (15,30),(30,15) and (30,60).
Now we will evaluate the value of the objective function at each of these corner points and then we will compare which of those values is minimum.
Hence the minimum value of objective function is 975 and it occurs at x = 15 and y = 30
