Answer:
Therefore, Olivia should buy 10 apples and 8 bananas to maximize her utility.
Explanation:
Let A represent the number of apples bought and B represent the number of bananas bought. Therefore since Olivia has $4 to spend:
0.2A + 0.25B = 4 (1)
Also, the tangency condition can be used to find the optimal amount of A to relative to B. It is give as:

Put B = 0.8A in equation 1:
0.2A + 0.25(0.8A) = 4
0.2A + 0.2A = 4
0.4A = 4
A = 10
B = 0.8(A) = 0.8(10) = 8
Therefore, Olivia should buy 10 apples and 8 bananas to maximize her utility.
Answer:
The cyclical unemployment rate is 4.2%
Explanation:
There is a natural unemployment rate which contains every unemployment rate which is cyclical unemployment plus structural unemployment plus frictional unemployment, so then in order to get cyclical unemployment we will use the below formula:
natural unemployment = Frictional unemployment + Cyclical unemployment +structural unemployment
therefore we are given the natural unemployment rate of 11%
Frictional Unemployment Rate of 4.4%
Structural unemployment rate of 2.4%
then we substitute on the above mentioned formula and solve for cyclical unemployment
11% =4.4% + Cyclical Unemployment Rate+ 2.4% then we transpose and solve for cyclical unemployment rate
11% - 4.4% -2.4% = Cyclical Unemployment Rate
4.2 % = Cyclical unemployment rate
this unemployment rate goes with the business cycle of any business in which if there is a recession in an economy it is accounted for even if there is economic growth it is accounted for.
Answer:
$366,287.15
Explanation:
Annual salary = $32000
No. of years (n) = 30 years
Increment in salary = $600
Deposit rate = 10%
Interest rate (r) = 7% or 0.07
Growth rate (g) = Increment in salary \div annual salary
Growth rate = $600 \ $32000
Growth rate = 0.01875
First deposit = $32000 x 10% = $3200
Future worth = [First deposit \ (r - g)] x [(1 + r)n - (1 + g)n]
Future worth = [$3200 \ (0.07 - 0.01875)] x [(1 + 0.07)30 - (1 + 0.01875)30]
Future worth = [$3200 \ 0.05125] x [(1.07)30 - (1.01875)30]
Future worth = $62439.0243902 x [7.6122550423 - 1.7459373366]
Future worth = $62439.0243902 x 5.8663177057
Future worth = $366287.15
Hence, the future worth at retirement is $366,287.15
A channel of distribution is defined as a group of individuals and organizations that b) directs the flow of products from producers to customers.
A channel of distribution is the channel where products move from each stage all the way down into the consumers hands. Different company's and their products may have differences in their distribution path but, they allow follow a path of some sort.
Answer:
All i know is no its not illegal at all .
Explanation: