Answer:
looking at the image it forms
the equation it'll make B: y= -2x -4
each dot will equal -2 and the dot is maybe one 2 but thats due to the problem of 4-2x1 so it's marked on 2 instead of four incase it throw you off of thy answer of B
Absolute value of x minus 6 is less than y
one way is to jsut make all the x's positive, then subtract them from 6 and see if they are less
sorry for confusing, just read below
(-5,1)
1>|-5|-6
1>5-6
1>-1
true
(-1,-5)
-5>|-1|-6
-5>1-6
-5>-5
false
(5,-1)
-1>|5|-6
-1>-1
false
answer is (-5,1)
Answer:
x = 250
y = 125
u(x,y) = 3125500
Step-by-step explanation:
As given,
The utility function u(x, y) = 100xy + x + 2y
= 2 , = 4
Now,
Budget constraint -
x + y = 1000
⇒2x + 4y = 1000
So,
Let v(x, y) = 2x + 4y - 1000
Now,
By Lagrange Multiplier
Δu = Δv
⇒< 100y + 1, 100x + 2 > = < 2, 4 >
By comparing, e get
100y + 1 = 2 ........(1)
100x + 2 = 4 .........(2)
Divide equation (2) to equation (1) , we get
⇒2(100y+1) = 1(100x+2)
⇒200y + 2 = 100x + 2
⇒200y = 100x
⇒2y = x
Now,
As 2x + 4y = 1000
⇒2x + 2(2y) = 1000
⇒2x + 2x = 1000
⇒4x = 1000
⇒x = 250
Now,
As 2y = x
⇒2y = 250
⇒y = = 125
∴ we get
x = 250
y = 125
Now,
u(250, 125) = 100(250)(125) + 250 + 2(125)
= 3125000 + 250 + 250
= 3125000 + 500
= 3125500
⇒u(250, 125) = 3125500
The domain is anything x is and the range is anything y is. Therefore, to find the domain and ranges in #16 and #18, just copy down the numbers from the charts.
#16
Domain (x): 100, 120, 150, 170
Range (y): 5.4, 3.5, 2.7, 0.2
#18
Domain (x): 20, 25, 35, 40
Range (y): 12, 15, 21, 24
- 3 1/2 can be rewritten as - 3 2/4
New equation will make it easier to combine like terms:
- 5 3/4 - 3 2/4
- 5 - 3 = - 8
3/4 + 2/4 = 5/4
You now have - 8 5/4. Simplify to get - 9 1/4.
Your answer is option C.