0.14 pounds (rounded; 0.135 unrounded); To calculate the % of something, divide it by 100 and multiply the result by the percentage you want to find.
0.0450 (=1%)
0.0450 x 3 = 0.135
Here’s the hard part. We always want the problem structured in a particular way. Here, we are choosing to maximize f (x, y) by choice of x and y .
The function g(x,y) represents a restriction or series of restrictions on our possible actions.
The setup for this problem is written as l(x,y)= f(x,y)+λg(x,y)
For example, a common economic problem is the consumer choice decision. Households are selecting consumption of various goods. However, consumers are not allowed to spend more than their income (otherwise they would buy infinite amounts of everything!!). Let’s set up the consumer’s problem:
Suppose that consumers are choosing between Apples (A) and Bananas (B). We have a utility function that describes levels of utility for every combination of Apples and Bananas.
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A 2 B 2 = Well being from consuming (A) Apples and (B) Bananas.
Next we need a set pf prices. Suppose that Apples cost $4 apiece and Bananas cost $2 apiece. Further, assume that this consumer has $120 available to spend. They the income constraint is
$2B+$4A≤$120
However, they problem requires that the constraint be in the form g(x, y)≥ 0. In
the above expression, subtract $2B and $4A from both sides. Now we have 0≤$120−$2B−$4A
g(A, B) Now, we can write out the lagrangian
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l(A,B)= A2 B2 +λ(120−2B−4A)
f (A, B) g(A, B)
Step II: Take the partial derivative with respect to each variable
We have a function of two variables that we wish to maximize. Therefore, there will be two first order conditions (two partial derivatives that are set equal to zero).
In this case, our function is
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l(A,B)= A2 B2 +λ(120−2B−4A)
Take the derivative with respect to A (treating B as a constant) and then take the derivative with respect to B (treating A as a constant).
Answer:
Chris will type 7,000 words in 20 minutes. You can use 350 x 20 to find your answer.
Step-by-step explanation:
we are given
climbing rate =4m/s
after 3 second ,
he climbed =4*3=12m
and
he was 13 meters below the edge of the volcano
so, total distance is 12+13=25m
so, distance of the edge of the volcano when he started climbing is 25m.....Answer
speed=4m/s
time = distance / speed
time =25/4
time is 6.25sec......Answer
Answer:
Option A is the correct one.
Step-by-step explanation:
If f(x) = x² then g(x) = f(4x) = (4x)² = 16x² ........ (1)
Now, for any real value of x, the g(x) is positive.
Therefore, option B and option C is not correct.
Now, from the graph given in option A, it is clear that for y = 5, x value is near ±
.
So, putting x = in the equation (1), we get g(x) = 16(0.5)² = 4 which is close to 5.
Therefore, option A is the correct one. (Answer)
