In this problem, p is in dollars and x is the number of units. The demand function for a certain product is  p = 144 − x2  and the supply function is  p = x2 + 2x + 84.  Find the equilibrium point. (x, p) =  Find the consumer's surplus there. (Round your answer to the nearest cent.)=

Q: Find the equilibrium quantity and equilibrium price for the commodity whose supply and demand…

A: We are given demand and supply function of a commodity. We have to find the equilibrium quantity and…

Q: You work in the marketing department of the company that produces this DVD player and are asked to…

A: Given: The demand equation for a DVD player is  p=140-0.0001x  Where, P is the unit price of the…

Q: the demand function for a tablet is given b y the model p=200-16x where p is measured in dollars per…

A: Given demand function model: p=200-16x Cost in producing each tablet = $50 Profit = $125 million…

Q: Suppose the profit from the sale of x units of a product is P = 6400x – 18x2 - 400. (a) What…

A: Given that: Profit, P(x)=6400x-18x2-400     NOTE: As per our answering guidelines, we can only…

Q: The demand function and the supply function of a good are given by:D=14+5p-p² and S=3p -1. %3D Find…

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Q: In the pair of suppy and demand equations below, x represents the quanity demanded in units of a…

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Q: Suppose the supply function for a product is 2p -q - 30 = 0, while the demand function for the same…

A: Given that the supply function for a product is 2p-q-30=02p-30=q   q=2p-30    ---1the demand…

Q: The supply for a particular item is given by the supply function S(x)=√x + 10 Find the producer's…

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Q: •1 r1 Evaluate the double integral / /. cos(y*) Vy³dydx

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Q: (3) The demand function for a tablet is given by the model p= 200–16x where p is measured in dollars…

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Q: Find the consumer and producer surpluses by using the demand and supply functions, where p is the…

A: We will equate the demand and supply function to find number of units at equilibrium.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.