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Question 1 (12 points): Consider the following production function $y = (4x_1 + 8x_2)^{\frac{1}{2}}$ and the input prices $w_1 = \$2$ and $w_2 = \$2$. On the same graph: a) Plot the isoquants associated with $y = 8$ and $y = 4$. (6 points) b) Plot the combinations of $x_1$ and $x_2$ that cost $16 and the combinations of $x_1$ and $x_2$ that cost $32. (Use a different color to graph the curves in point b). (6 points)

          Question 1 (12 points):

Consider the following production function $y = (4x_1 + 8x_2)^{\frac{1}{2}}$ and the input prices $w_1 = \$2$ and $w_2 = \$2$.
On the same graph:
a) Plot the isoquants associated with $y = 8$ and $y = 4$. (6 points)
b) Plot the combinations of $x_1$ and $x_2$ that cost $16 and the combinations of $x_1$ and $x_2$ that cost $32.
(Use a different color to graph the curves in point b). (6 points)

Question 1 (12 points):

Consider the following production function y = (4x1 + 8x2)^(1)/(2) and the input prices w1 = $2 and w2 = $2.
On the same graph:
a) Plot the isoquants associated with y = 8 and y = 4. (6 points)
b) Plot the combinations of x1 and x2 that cost 16 and the combinations ofx1andx2that cost32.
(Use a different color to graph the curves in point b). (6 points)

Added by Silvia P.

Principles of Economics

Gregory Mankiw 8th Edition

Instant Answer

Solved by Expert Sanchit Jain

Step 1

For y = 8: 8 = 4x1 + 8x2 Dividing both sides by 4, we get: 2 = x1 + 2x2 Rearranging the equation, we have: x2 = (2 - x1)/2 For y = 4: 4 = 4x1 + 8x2 Dividing both sides by 4, we get: 1 = x1 + 2x2 Rearranging the equation, we have: x2 = (1 - x1)/2 Now, we can Show more…

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Consider the following production function y = (4x + 8x) and the input prices w = $2 and w2 = $2. On the same graph: a) Plot the isoquants associated with y = 8 and y = 4. (6 points) b) Plot the combinations of x1 and x that cost $16 and the combinations of x and x that cost $32. (Use a different color to graph the curves in point b). (6 points)