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
Answer:
The volume of the frustum is: 
which corresponds to the third answer shown in the list of options
Step-by-step explanation:
The image can be interpreted as an original tall cone of height 6.4 plus 6.8 (13.2) that was divided into two parts by chopping the smaller upper cone, and leaving the frustum (the volume of which we need to find). So, to estimate the volume of this frustum, knowing the general formula for the volume of a cone:
(where B is the area of the cone's base, and h its height)
we could calculate the volume of the larger cone, and subtract from it the volume of the upper smaller one.
For the area of the cone's base, recall call also that the area of a circle of radius R is given by: 
, and therefore the formula for the volume of the cone can be written as:
So, now the volume of the larger cone is:
The volume of the smaller cone:
Therefore, the difference becomes: 
This is the volume of the frustum:
The graphed that represents the new function with the same slope and y-intercept is: graph Y.
<h3>What is the Slope and Y-intercept of a Function?</h3>
Slope = rise/run along a line.
Y-intercept is the y-value of the point on the y-axis that the line intercepts.
Slope of the function given = rise/run = 2/1 = 2
2 multiplied by 1/2 = 2/2 = 1.
Y-intercept of the given function is: 1
1 increased by 3 units is: 1 + 3 = 4
The slope of graph Y = rise/run = 2/2/ = 1
The y-intercept is also 4
Therefore, the answer is: Graph Y
Learn more about the slope and y-intercept on:
brainly.com/question/25722412
#SPJ1
Answer:
Both the stock have the same expected return.
Step-by-step explanation:
In year 1 the return earned by stocks A and B are:
Stock A = 2% return
Stock B = 9% return
In year 2 the return earned by stocks A and B are:
Stock A = 18% return
Stock B = 11% return
Compute the expected return for stock A as follows:
Compute the expected return for stock B as follows:
Thus, both the stock have the same expected return.
