In Exercises 1-14, D ( x ) is the price, in dollars per unit, that consumers will pay for x units of an item, S ( x ) is the price, in dollars per unit, that producers will accept for x units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point. D ( x ) = 8800 − 30 x , S ( x ) = 7000 + 15 x a. (a) ( 40 , $ 7600 ) b. (b) $24,000 c. (c) $12,000
In Exercises 1-14, D ( x ) is the price, in dollars per unit, that consumers will pay for x units of an item, S ( x ) is the price, in dollars per unit, that producers will accept for x units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point. D ( x ) = 8800 − 30 x , S ( x ) = 7000 + 15 x a. (a) ( 40 , $ 7600 ) b. (b) $24,000 c. (c) $12,000
Solution Summary: The author calculates the equilibrium point at which demand function is equal to supply function.
In Exercises 1-14,
D
(
x
)
is the price, in dollars per unit, that consumers will pay for x units of an item,
S
(
x
)
is the price, in dollars per unit, that producers will accept for x units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point.
Suppose that the price-demand and the price-supply equations are given
respectively by the following:
p= D(x) = 50 - 0.24x, p = S(x) = 14 +0.0012x²
(a) Determine the equilibrium price p and the equilibrium quantity.
(b) Calculate the total savings to buyers who are willing to pay more than the
equilibrium price p.'
(c) Calculate the total gain to sellers who are willing to supply units less than the
equilibrium price p.
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