Answer:
A. see below for a graph
B. f(x, y) = f(0, 15) = 90 is the maximum point
Step-by-step explanation:
A. See below for a graph. The vertices are those defined by the second inequality, since it is completely enclosed by the first inequality: (0, 0), (0, 15), (10, 0)
__
B. For f(x, y) = 4x +6y, we have ...
f(0, 0) = 0
f(0, 15) = 6·15 = 90 . . . . . the maximum point
f(10, 0) = 4·10 = 40
_____
<em>Comment on evaluating the objective function</em>
I find it convenient to draw the line f(x, y) = 0 on the graph and then visually choose the vertex point that will put that line as far as possible from the origin. Here, the objective function is less steep than the feasible region boundary, so vertices toward the top of the graph will maximize the objective function.
Answer:
2 19/24 feet
Step-by-step explanation:
14 5/8 = 14 15/24
17 5/12 = 17 10/24 ==> 16 34/24
16 - 14 = 2
34/24 - 15/24 = 19/24
Answer = 2 19/24 feet
Hope this helps!
-The Business Man
Answer: All points in the shaded region after 2y<-12x+4 is the solution.
Step-by-step explanation:
Since we have given that

We need to find the point of solution to the system of inequalities:
Suppose

We first check the consistency of the system of equation:

So, it is parallel system of equations, but we consider it as an inequality, so all the points in the shaded region is the solution.
Using zero test,

0<4 it is true so, shaded part is towards the center.
Similarly,

0<4 again it is true it would be shaded towards the center.
So, the common part will be after 2y<-12x+4 .
Hence, all the points in the shaded region is the solution.
Step-by-step explanation:
draw a horizontal line from the vertical axis where 1.5 ft is, which indicates the length in feet then if it touches the line of the graph, then from the point, it touches the line Trace it down to the horizontal axis. and get the answer. the point where it touches the horizontal axis indicates the length in inches.
Answer:
Hey, how are you
Step-by-step explanation: