What is the product? −0.14×0.12−0.14×0.12 enter your answer as a decimal in the box.?
1 answer:
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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
Answer:
9.9 meters
Step-by-step explanation:
Given that the distance between Kelly and launching point was 7m and also the distance between launching point and Dennis was also 7m, to calculate for the distance between Kelly and denise is done by applying the formula used for calculating the hypotenuse in a right angle triangle (the shape that was created)
PICTURE ATTACHED IS A DETAILED STEP BY STEP PROCESS OF HOW 9.9m WAS GOTTEN.
First find the slope using the formula 
Substitute the values in:
Point-slope form is
Substitute (it doesn't matter which point you choose; I chose (4,5):
Therefore, the answer is D.
Substitute the values in:
Point-slope form is
Substitute (it doesn't matter which point you choose; I chose (4,5):
Therefore, the answer is D.