The marginal product of labor is 10.
Data and Calculations:
Production function = Q = 20K0.5L0.5 = 20 x K x 0.5 x L x 0.5
Where:
Q = number of surgeries per day
K = number of machines
L = number of employees
Assuming that:
K = 2
L = 2
Therefore, Q1 = 20 x 2 x 0.5 x 2 x 0.5
= 20 surgeries per day
Q2 = 20 x 2 x 0.5 x 3 x 0.5
= 30 surgeries per day
Change in productivity = 10 (30 - 20)
Change in labor = 1 (3 - 2)
Marginal product of labor = change in output / change in labor
= 10 (10/1)
Thus, the marginal product of labor for the production function is 10.
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The probability that demand is greater than 1800 gallons over a 2 hour period is : 0.5
<u>Given data :</u>
Mean value of gasoline per hour = 875 gallons
Standard deviation = 55 gallons
<h3>Determine the probability of demand being greater than 1800 gallons over 2 hours </h3>
Demand for gas in 1 hour = X₁
Demand for gas in 2 hours = X₁ + X₂
Therefore ; ( X₁ + X₂) ~ N ( u₁+u₂, sd₁² + sd₂² )
In order to calculate probabilities for normals apply the equation below
Z = ( X- u ) / sd
where : u = 1800, sd = √ ( 55² + 55² ) = 77.78
using the z-table
P( Y > 1800) = P( Z > ( 1800 - 1800 ) / 77.78)
= P( Z>0 ) = 0.5
Hence we can conclude that The probability that demand is greater than 1800 gallons over a 2 hour period is : 0.5.
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Answer:
Explanation:
Using future annuity formula
Fv = Pmt ( (1+r)ⁿ -1 )/ r
+ 1 = (1+r)ⁿ
In ( + 1) = n In ( 1+r)
n = In ( + 1) / In ( 1 + r)
FV, future value = $10,000, Pmt, periodic payment per year = $1,100, r rate = 11.82% = 0.1182 and n = number of years
n = 0.7297 / 0.11172 = 6.53 years approx 7 years
the last year payment will actually be less than $1,100
This is the complete sentence: the polar transport of auxin establishes the orientation of growth, the lateral redistribution of auxin causes a growth response to an enviromental stimulus that is called morphogenesis.<span />
Answer:
c. automatic fiscal policy
Explanation:
Automatic fiscal policy are policies triggered automatically due to the state of the economy which causes either government spending or taxes to increase or decrease.
For example, if the economy is undergoing a downturn and real GDP falls, the amount paid as taxes would fall.
If the economy is booming and the real GDP rises, the amount paid as taxes would rise.
These are examples of automatic fiscal policies.
Discretionary fiscal policy is when the government purposely increases or reduces either its spending or taxes in response to the economic conditions.
I hope my answer helps you.
