In: Economics
1) Suppose the supply equation is:
Q = 11 + 1.30p
What is the price elasticity of supply if the market price is $44?
2) Suppose the demand equation is Q = 120- 0.75p. What is the price elasticity of demand if the price is $60 per unit and output is 75 units?
The price elasticity of demand is ____?
3) Suppose that the demand function for aluminum is Q = 40- 0.2P
where p is the price paid by consumers in dollars per pound and Q is the quantity demanded measured in pounds. The supply curve for aluminum is estimated to be: Q = 0.2p such that n = 1
The pre-tax equilibrium price is ____?
4) Green et al. (2005) estimate the supply and demand curves for California processed tomatoes. The supply function is: ln(Qs) = 0.200 + 0.550 ln(p), where Q is the quantity of processing tomatoes in millions of tons per year and p is the price in dollars per ton. The demand function is:
ln(Qd) = 2.600 - 0.200 ln(p) + 0.150ln (pt)
where Pt is the price of tomato paste (which is what processing tomatoes are used to produce) in dollars per ton. Let the price of tomato paste, pt be $110.
Suppose that the government imposes a price support on processing tomatoes at $77
per ton. The government will buy as much as farmers want to sell at that price. Thus, processing firms pay
$77.
How many tons of processing tomatoes will firms buy? ___ units(million tons per year). (Enter a numeric response using a real number rounded to three decimal places.)