Question

Initially, the price of natural gas is $10 per 1,000 cubic feet, the price of an oil furnace is $2,000, the average annual household income is $40,000, the cost of crude oil is $25 per barrel of heating oil, and the cost of refining oil is $15 per barrel of heating oil. The equilibrium quantity in this market is 80 barrels of heating oil per day, and the equilibrium price is $40.00 per barrel. Suppose that the cost of refining oil decreases from $15 to $10 for each barrel of heating oil produced. Assuming that the rest of the determinants of supply and demand for heating oil remain equal to their initial values, the market will eventually reach a new equilibrium price of $37.00 per barrel. Reset the calculator to its initial values. (Hint: When you click in the box of any changed values, you will see a circular arrow to the left of the box that enables you to reset numbers to their initial values.) Suppose that instead of a change in the cost of producing heating oil, there was an increase in average annual income from $40,000 to $50,000. If the price of heating oil were to remain at the initial equilibrium price you found in the first question, there would bea shortage of heating oil, which would exert pressure on prices.

          Initially, the price of natural gas is $10 per 1,000 cubic feet, the price of an oil furnace is $2,000, the average annual household income is $40,000, the cost of crude oil is $25 per barrel of heating oil, and the cost of refining oil is $15 per barrel of heating oil.
The equilibrium quantity in this market is
80
barrels of heating oil per day, and the equilibrium price is
$40.00
per barrel.
Suppose that the cost of refining oil decreases from $15 to $10 for each barrel of heating oil produced. Assuming that the rest of the determinants of supply and demand for heating oil remain equal to their initial values, the market will eventually reach a new equilibrium price of
$37.00
per barrel.
Reset the calculator to its initial values. (Hint: When you click in the box of any changed values, you will see a circular arrow to the left of the box that enables you to reset numbers to their initial values.)
Suppose that instead of a change in the cost of producing heating oil, there was an increase in average annual income from $40,000 to $50,000. If the price of heating oil were to remain at the initial equilibrium price you found in the first question, there would bea shortage   of heating oil, which would exert    pressure on prices.
        
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Principles of Economics
Principles of Economics
Gregory Mankiw 8th Edition
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Initially, the price of natural gas is $10 per 1,000 cubic feet, the price of an oil furnace is $2,000, the average annual household income is $40,000, the cost of crude oil is $25 per barrel of heating oil, and the cost of refining oil is $15 per barrel of heating oil. The equilibrium quantity in this market is 80 barrels of heating oil per day, and the equilibrium price is $40.00 per barrel. Suppose that the cost of refining oil decreases from $15 to $10 for each barrel of heating oil produced. Assuming that the rest of the determinants of supply and demand for heating oil remain equal to their initial values, the market will eventually reach a new equilibrium price of $37.00 per barrel. Reset the calculator to its initial values. (Hint: When you click in the box of any changed values, you will see a circular arrow to the left of the box that enables you to reset numbers to their initial values.) Suppose that instead of a change in the cost of producing heating oil, there was an increase in average annual income from $40,000 to $50,000. If the price of heating oil were to remain at the initial equilibrium price you found in the first question, there would bea shortage of heating oil, which would exert pressure on prices.
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Transcript

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00:01 Okay, so for this question, let's first agree this question a bit.
00:05 So first we know that at originally, the demand curve is d and the supply curve is s1.
00:13 So the market achieved an equivalent with the price of 250 and with the quantity of 45.
00:20 But now because there's some decrease in supply, supply curve shipped from s1 to s2.
00:26 So basically, part a say that if there's no price selling, how will be the equivalent price now? so the new equivalent price is what we need to find the crosspoint of the supply curve and demand curve.
00:43 So basically, the new equivalent price will see p star prime equals 350 and the quantity q star prime equals $350 and the quantity q star prime equals 40.
00:56 40 and because it is at the equivalent quantity demanded equals quantity supplied okay and if now there is a price ceiling the price selling is set to 250 but there's no black market so if that's a case the new price should be let's say price third double prime equals 250 because this price selling is lower than the equivalent price okay and the quantity demanded q star prime prime as a qd equals at 250 qd equals 45 and qs equals 30 so the amount of shortage equals 15 okay the difference between the quality demand and quantity supplied and part b saying that if the price ceiling is important and there's no black market.
02:03 No black market means that the market price for the gas is always 250, is set by the government.
02:11 Okay, so there's no black market to show the area representing consumer surplus, producer surplus, and that weight loss.
02:19 So basically, we know that the quality demand is 45, the quantity supplied is only 30.
02:25 So the total quantity that is available in the market is only 30.
02:28 So if we'll try to find consumer surplus, it should be this area.
02:38 This large area here will be the consumer surplus.
02:42 And producer surplus should be this lower triangle, producer surplus, and the dead weight loss should be this triangle here.
02:53 This is dead weight loss.
02:56 Okay, so this is for the case when there's no black market.
02:59 This is part b.
03:00 Part c say that if there is a black market.
03:05 And we need to reread this question.
03:07 We say that the price of the gas raised to the maximum that consumers are willing to pay for the amount supplied by producer at 250.
03:17 So firstly, we need to know that at 250, what is the total amount that is willing to be supplied by the producer? at 250, the quantity supplied is 30.
03:33 And say that the price of gas raised to the maximum that consumers are willing to pay.
03:40 So that means at the quantity of 30, actually consumers are willing to pay 550.
03:47 So the price selling equals 250 that is set by the garment.
03:53 But now, because there is black market available...
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