Steve Conyers and Chelsy Poodle formed a partnership, dividing income as follows: Annual salary allowance to Poodle of $146,160.
1 answer:
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a. When the demand increases by 12 units, the equilibrium price rises to $6.2093 and the equilibrium quantity rises to 67.7442 units.
b. The price elasticity of supply (PES) at equilibrium is 0.20. Since the price elasticity is less than 1, we conclude that supply is inelastic.
From the given data, we can see that the equilibrium price is $4 and the equilibrium quantity is 68 units.
If the demand increases by 12 units at each point of price decline, the demand equation will be :
and the supply equation will be:
Since Quantity demanded and supplied are equal at equilibrium, we can equate the demand and supply equations and solve for price (P). Equating the two equations above, we get,
P = $6.2093
Substituting the value of P in the demand equation, we get,
units
b. Calculation of Price Elasticity of supply at equilibrium level.
P₀ = $4
Q₀ = 61
P₁ = $6.2093
Q₁ = 67.7442
% change in quantity = 11.05607%
% change in price = 55.2325%
Price Elasticity of Supply (PES):
PES = 11.05607% / 55.2325%
PES = 0.20
Answer:
The world's population would have been 7.1137 billion in 2012, and this is 0.0437 billion (i.e. 7.1137 - 7.07 = 0.0437) higher compared to the population reference bureau estimate of 7.07 billion in July 2012.
Explanation:
This can be computed using the following exponential formula:
P(t) = P(0)a^t ............................ (1)
Where;
P(t) = World population in year t.
P(0) = World population in year 0 which is 1998 = 5.937 billion
a = base = ?
t = number of years
Substituting the value into equation (1), we have:
P(t) = 5.937 * a^t .......................................... (2)
Since we have 10 years from 1998 to 2008 (i.e. 2008 - 1998 = 10), we have:
P(t) = P(10) = World population in 2008 = 6.771 billion
t = 10
Substituting the value into equation (2) and solve for a, we have:
6.771 = 5.937 * a^10
a^10 = 6.771 / 5.937
a^10 = 1.1405
a =
a = 1.013
Since we have 14 years from 1998 to 2012 (i.e. 2012 - 1998 = 14), we now have:
P(t) = P(14) = World population in 2012 = ?
P(0) = World population in year 0 which is 1998 = 5.937 billion
a = 1.013 as already calculated above
t = 14
Substituting the value into equation (1), we have:
P(14) = 5.937 * 1.013^14
P(14) = 5.937 * 1.192
P(14) = 7.1137 billion
Therefore, the world's population would have been 7.1137 billion in 2012, and this is 0.0437 billion (i.e. 7.1137 - 7.07 = 0.0437) higher compared to the population reference bureau estimate of 7.07 billion in july 2012.