Question

The demand curve for a product is given by $q=$ $120,000-500 p$ and the supply curve is given by $q=$ $1000 p$ for $0 \leq q \leq 120,000,$ where price is in dollars. (a) At a price of $\$ 100,$ what quantity are consumers willing to buy and what quantity are producers willing to supply? Will the market push prices up or down? (b) Find the equilibrium price and quantity. Does your answer to part (a) support the observation that market forces tend to push prices closer to the equilibrium price?

          The demand curve for a product is given by $q=$ $120,000-500 p$ and the supply curve is given by $q=$ $1000 p$ for $0 \leq q \leq 120,000,$ where price is in dollars.
(a) At a price of $\$ 100,$ what quantity are consumers willing to buy and what quantity are producers willing to supply? Will the market push prices up or down?
(b) Find the equilibrium price and quantity. Does your answer to part (a) support the observation that market forces tend to push prices closer to the equilibrium price?
        
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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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The demand curve for a product is given by $q=$ $120,000-500 p$ and the supply curve is given by $q=$ $1000 p$ for $0 \leq q \leq 120,000,$ where price is in dollars. (a) At a price of $\$ 100,$ what quantity are consumers willing to buy and what quantity are producers willing to supply? Will the market push prices up or down? (b) Find the equilibrium price and quantity. Does your answer to part (a) support the observation that market forces tend to push prices closer to the equilibrium price?
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Transcript

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00:01 Hello, here it's been given that the demand equation q is 1 -2 -3 -0 minus 500 into p.
00:10 This is the demand equation and next is q is equal to thousand into p, where q it lies between 0 and 1 -2 -0 -1 -0 -0.
00:27 0.
00:30 First a we can say that now we will put the price p as thousand in the demand equation.
00:38 This b first, this b second.
00:40 So in equation 1.
00:43 Therefore we get q as 7 ,000.
00:48 It can be said that the quantity that the consumers are willing to pay.
01:10 It is 7 ,000 further in the b further part we'll say that we will put p is equal to 100 in the second equation and therefore q is equal to 0 000 0 and 0 so further we can say that so the quality that the producers are willing to supply it is equal to 0 0 0 and 0 so therefore the demand it is less than the supply then the market will push down the price so market they will push down the price further for the b part, we have to find the equilibrium price...
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