Answer:
y = 
Step-by-step explanation:
multiply
by
to get
:
+ y -
= 
simplify:
y +
= 
subract
from both sides:
y = 
The points you found are the vertices of the feasible region. I agree with the first three points you got. However, the last point should be (25/11, 35/11). This point is at the of the intersection of the two lines 8x-y = 15 and 3x+y = 10
So the four vertex points are:
(1,9)
(1,7)
(3,9)
(25/11, 35/11)
Plug each of those points, one at a time, into the objective function z = 7x+2y. The goal is to find the largest value of z
------------------
Plug in (x,y) = (1,9)
z = 7x+2y
z = 7(1)+2(9)
z = 7+18
z = 25
We'll use this value later.
So let's call it A. Let A = 25
Plug in (x,y) = (1,7)
z = 7x+2y
z = 7(1)+2(7)
z = 7+14
z = 21
Call this value B = 21 so we can refer to it later
Plug in (x,y) = (3,9)
z = 7x+2y
z = 7(3)+2(9)
z = 21+18
z = 39
Let C = 39 so we can use it later
Finally, plug in (x,y) = (25/11, 35/11)
z = 7x+2y
z = 7(25/11)+2(35/11)
z = 175/11 + 70/11
z = 245/11
z = 22.2727 which is approximate
Let D = 22.2727
------------------
In summary, we found
A = 25
B = 21
C = 39
D = 22.2727
The value C = 39 is the largest of the four results. This value corresponded to (x,y) = (3,9)
Therefore the max value of z is z = 39 and it happens when (x,y) = (3,9)
------------------
Final Answer: 39
Let
x-------> the number of game tokens purchased for a member of the arcade
y-------> the function of the yearly cost in dollars
we know that
the function y of the yearly cost in dollars is equal to

This is the equation of the line
using a graph tool
see the attached figure
<u>Statements</u>
<u>case a)</u> The slope of the function is $1.00
The statement is False
The slope of the function is equal to 
<u>case b)</u> The y-intercept of the function is $60
The statement is True
we know that
The y-intercept of the function is the value of the function when the value of x is equal to zero
so
for 


<u>case c)</u> The function can be represented by the equation y =(1/10)x + 60
The statement is True
The equation of the function is equal to 
<u>case d)</u> The domain is all real numbers
The statement is False
The value of x cannot be negative, therefore the domain is the interval
[0,∞)
<u>case e)</u> The range is {y| y ≥ 60}
The statement is True
The range of the function is the interval-------> [60,∞)
see the attached figure
Answer:
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Step-by-step explanation:
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Answer:

Step-by-step explanation:
