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.
A particular commodity has a price-supply equation give by p=375(1.034)x, where x is the number of items of the commodity demanded when the price is p dollars per item. Find producer's surplus if (a) the equilibrium quantity is 37 items; (b) the equilibrium price is 2063 dollars.
D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to 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) = (x – 9)?, S(x) = x² + 2x + 21
The supply and demand function for a product are qs=p2 -200 and qd=p2-20p+400. Determine the market equilibrium price and quantity.
A bank account pays 5.5% annual interest, compounded monthly. How long will it take the money to double in this account? If the present value is Rs.1, its future value is Rs.2. The bank is compounding monthly; thus, the interest rate is 5.5/12 percent per month.
University Calculus: Early Transcendentals (3rd Edition)
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