Which PESTEL factors are the most salient for the electric vehicle segment of the car industry? Which PESTEL factors are the mos
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Part a) The Cob Douglas production function is given as:
To show that this function is homogeneous with degree 3, we introduce be a parameter, t.
Using properties of exponents, we on tinder:
This implies that:
Simplify the exponent of t to get;
Hence the function is homogeneous with degree, 3
Part b) To verify Euler's Theorem, we must show that:
Verifying from the left:
Q•E•D
Answer:
a) see attached graph. There is nothing unusual with the supply curve, it is simply fixed. This happens to most services, e.g. there is a fixed number of hotel rooms available for rent, in the short run you cannot add more rooms per night if the demand increases. In order to increase the quantity supplied, you would need to build a larger hotel, or in this case, a larger stadium.
b) the equilibrium price is $8 and the equilibrium quantity is 8,000 tickets
c) if the college plans to increase enrollment, the demand might increase, leading to a higher equilibrium price, but the supply will remain the same until the stadium is expanded.
Explanation:
Price Quantity Demanded (Qd) Quantity Supplied (Qs)
$4 10,000 8,000
$8 8,000 8,000
$12 6,000 8,000
$16 4,000 8,000
$20 2,000 8,000
