Answer:

Step-by-step explanation:
Let
be the length of the longer side of the smaller rectangle and
be the length of the shorter side of the smaller rectangle
When you look at the combined rectangle from top to bottom, you can see that
. Therefore, 
This is the same for
. Thus, 
When you look from right to left, you can see that
. Using this, we can represent
in terms of
.

Now, we can find the ratio of
:

<u>This question was quite hard to explain.</u>
<u>If you have any questions about the solution, feel free to ask.</u>
<u>Please have a look at the diagram below to get a better understanding of the solution.</u>
Answer:
Step-by-step explanation:
you just have to evaluate the expression and then solve it
Answer:
a. Using the inverse demand for each, solve for the social marginal benefit curve.
Bob: Scott:
Q = 40-P Q = 30 – P
(-1)Q – 40 = -P(-1) (-1)Q – 30 = -2P
40 – Q = P 30 – Q = 2P
((30 – Q) = 2P)/2
15 – 1/2Q = P
P = 15 – 1/2Q + 40 – Q
P = 55 – 1.5Q
Scott is no longer willing to pay anything when Q >30
Social Marginal Benefit curve: Q = 40 - P
b. What is the socially efficient amount of plowing?
SMB = SMC
35 = 55 – 1.5Q
Subtract from both sides and rearrange
1.5Q = 20
Q = 13.33
c. Suppose the input costs of plowing fell and marginal costs of plowing were now constant at $5.
55 – 1.5Q = 5
55-5 = 1.5Q
50 = 1.5Q
33.3 = Q*