Equilibrium,
Demand = Supply
172 - x2 = 76 + 0.5x2
96 = 1.5x2
X2 = 64
X = 8 units
Price = 172 - 64 = $108
Consumer surplus : (1/2)*( 172 - 108)*8 = 256 [When x = 0, p = 172 ( from demand curve)]
Producer surplus = (1/2)*108*8 = $432
The management of the Titan Tire Company has determined that the quantity demanded x of their Sup...
The management of the Titan Tire Company has determined that the quantity demanded x of their Super Titan tires/week is related to the unit price p by the relation p = 164-x2 where p is measured in dollars and x is measured in units of a thousand. Titan will make x units of the tires available in the market if the unit price is p = 68+1/2x2 dollars. Determine the consumers' surplus and the producers' surplus when the market unit price is set at...
Consumers' and Producers' Surplus The quantity demanded X (in units of a hundred) of the Sportsman 5 x 7 tents, per week, is related to the unit price p (in dollars) by the relation p = -0.1x2 - x + 40. The quantity (in units of a hundred) that the supplier is willing to make available in the market is related to the unit price by the relation p = 0.1x2 + 4x + 10. If the market price is...
Consumers' Surplus The demand function for a certain make of replacement cartridges for a water purifier is given by the following equation where p is the unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. p - -0.01x? -0,3x + 41 Determine the consumers' surplus if the market price is set at $1/cartridge (Round your answer to two decimal places.) $ 0.16 X Need Help? Read it Talk to a Tutor...
Based upon market research, the Hawthorne Company has determined that consumers are willing to purchase 133 units of their portable media player each week when the price is set at $46.20 per unit. At a unit price of $11.80, consumers are willing to buy 305 units per week. (a) Determine the weekly demand equation for this product, assuming price, p, and quantity, x, are linearly related. p (b) Determine the weekly revenue function. R(x) (c) Determine the number of units...
Thank you so much! (2 points) Suppose D(g)-1932 and S(12q+1 are the demand and supply functions for a particular commodity. That is, q thousand units of the commodity will be demanded (sold) at a price of p D() dollars per unit, while q thousand units will be supplied by producers when the price is p S(q) dollars per unit. a. Find the equilibrium price Po where supply equals demand Answer: Po dollars per unit b. Compute the consumers' surplus at...
The Demand and Supply functions, D (a) and S(9), for a particular commodity are given. Specifically, thousand units of the commodity will be demanded (sold) at a price of p= D (a) dollars per unit, while a thousand units will be supplied by producers when the price is p = S(q) dollars per unit. Find the consumers' surplus and the producers' surplus at equilibrium. D(q) = 65 - q'; $(a) = 12 + 2q + 5 O CS - $144,000;...
The demand function for a certain model of Blu-ray player is given by p = 900 0.5x + 2 where p is the unit price in dollars and x (in units of a thousand) is the quantity demanded per week. What is the consumers' surplus if the selling price is set at $300/unit? (Round your answer to the nearest dollar.)
Based upon market research, the Hawthorne Company has determined that consumers are willing to purchase 132 units of their portable media player each week when the price is set at $62.40 per unit. At a unit price of $7.80, consumers are willing to buy 405 units per week. (a) Determine the weekly demand equation for this product, assuming price, p, and quantity, x, are linearly related. p = (b) Determine the weekly revenue function. R(x) = (C) Determine the number...
The quantity demanded x ofe certain brand of DVD player is 3000/week when the unit price p is $485. For each decrease in unit price of $20 below $485, the quantity demanded increases by 500 units. The suppliers will not market any DVD players if the unit price is $300 or lower. But at a unit price of $525, they are willing to make available 2000 units in the market. The supply equation is also known to be linear (a)...
The demand function for a certain brand of CD is given by the following equation where is the wholesale price in dollars and x is the quantity demanded each week, mesured in units of a thousand p=-0.01 -0.22+19 Determine the consumers' surplus if the wholesale market price is set at 51/disc. Round your answer to two decimal places) $ 1,860,000 00 X Need Help?