The Cobb-Douglas production model states that the yearly total dollar value of the production output P in an economy is a function of labor x (the total number of hours worked in a year)
and capital y (the total dollar value of all of the stuff purchased in order to make things).
Specifically, P = axby
1−b
. By fixing P, we create what’s known as an ‘isoquant’ and we can
then solve for y as a function of x. Let’s assume that the Cobb-Douglas production model
for the country of Sasquatchia is P = 1.23x
0.4y
0.6
.
(a) Let P = 300 and solve for y in terms of x. If x = 100, what is y?
(b) Graph the isoquant 300 = 1.23x
0.4y
0.6
. What information does an ordered pair (x, y)
which makes P = 300 give you? With the help of your classmates, find several different
combinations of labor and capital all of which yield P = 300. Discuss any patterns you
may see.

answer: there are 453.592 grams in a pound.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet