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We've worked out two equations to describe the supply/demand for a high-speed train route, where C is the cost of the train ticket and V is the volume of passengers using the train (in 1000s of passengers). SUPPLY EQUATION: C=52V-32 DEMAND EQUATION: C=20V+16 What is the equilibrium cost of ticket that people are willing to pay? 

          We've worked out two equations to describe the supply/demand for a high-speed train route, where C is the cost of the train ticket and V is the volume of passengers using the train (in 1000s of passengers).
SUPPLY EQUATION: C=52V-32
DEMAND EQUATION: C=20V+16
What is the equilibrium cost of ticket that people are willing to pay?
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We've worked out two equations to describe the supply/demand for a high-speed train route, where C is the cost of the train ticket and V is the volume of passengers using the train (in 1000s of passengers). SUPPLY EQUATION: C=52V-32 DEMAND EQUATION: C=20V+16 What is the equilibrium cost of ticket that people are willing to pay?

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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We've worked out two equations to describe the supply/demand for a high-speed train route, where C is the cost of the train ticket and V is the volume of passengers using the train (in 1000 s of passengers).\nSUPPLY EQUATION: C=52V-32\nDEMAND EQUATION: C=20V+16\nWhat is the equilibrium cost of ticket that people are willing to pay? We've worked out two equations to describe the supply/demand for a high-speed train route,where C is the cost of the train ticket and Vis the volume of passengers using the train(in 1000s of passengers) SUPPLY EQUATION:C=52V-32 DEMANDEQUATION:C=20V+16 What is the equilibrium cost of ticket that people are willing to pay?
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Transcript

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00:01 Here we have to find the equilibrium price and quantity for a theater with 200 seats that charges eight dollars for adults and five dollars for kids or children.
00:22 And x is the number of adults, y is the number of children, and then we get the following equations.
00:35 When the total ticket income is 1435, that is equal to eight times the number of adults plus five times the number of kids.
00:51 We also know that we have maximum seats of 200, so the number of adults plus the number of children cannot equal to not exceed 200.
01:02 We're told that all the seats are full, so we're going to set those two equal.
01:08 Then we can substitute x is equal to 200 minus y from the second equation...
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