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: A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6000.…

A: We have t find the number of units that needs to be produced for making the marginal revenue zero.

Q: Given: (x is number of items) Demand function: d(x)=396.9−0.5x2 Supply function: s(x)=0.4x2 Find…

A: At equilibrium  demand and supply will be equal  Consumer surplus is the difference between the…

Q: In this problem, p is in dollars and x is the number of units. Suppose that the supply function for…

A: Given: The supply function for a good is given by, p(x)=4x2+26x+3. If the equilibrium price is $171…

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: The producer's surplus for a supply function gx at equilibrium is PS=p1x1∫0x1gxdx. Consider the…

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: The given demand function for a certain product is p=81-x2 and the supply function is p=x2+2x+69.…

Q: (1) The revenue for a product is R(x) = -0.004x² + 21x cost is C(x) = 0.02x + 38, for x units…

A:

Q: In this problem, p is in dollars and x is the number of units. Suppose that the supply function for…

A:

Q: 2. A product has a demand function p = 144 – x² and its supply function is p = = x2 + 10x + 116. a.…

A:

Q: In this problem, p is in dollars and x is the number of units. The demand function for a product is…

A: P = 35 - x2 Equilibrium Price is $ 10 per unit Consumer Surplus is  ∫0∞P(x) dx - xy

Q: The management of Titan Tire Company has determined that the weekly demand and supply functions for…

A: Givendemand function p = 144-x2supply function P = 48+12x2

Q: (1) The revenue for a product is R(x) = -0.004x² + 21x – 6200 and the cost is C(x) = 0.02x + 38, for…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: solution:-Given Let demand functiond(x)=143-2x2supply functions(x)=x2+33x+44

Q: Find the consumers' surplus if the demand for an item is given by D(q)=72-q2, assuming supply and…

A: To find the consumer’s surplus.

Q: (1) The revenue for a product is R(x) = -0.004x? + 21x – 6200 and the cost is C(x) = 0.02x + 38, for…

A:

Q: The demand function for a certain product is  p = 100 − x2 and the supply function is p = x2 + 6x +…

A:

Q: A monopoly has a total cost function C = 1,000 + 108x + 12x² for its product, which has demand…

A: Given, The total cost function,C=1,000+108x+12x2 Demand function,p=324-3x-2x2

Q: Given: (x is number of items) Demand function: d(x) = 153.6 – 0.2x² Supply function: s(x) = 0.4x²…

A: Given that d(x)=153.6-0.2x2s(x)=0.4x2To find equilibrium quantityd(x)=s(x) gives…

Q: In this problem, p is in dollars and x is the number of units. The demand function for a product is…

A: Given,  p=300x+1 and equilibrium quantity is 9 units.

Q: In this problem, p is in dollars and x is the number of units. Find the producer's surplus at…

A:

Q: Suppose that the price-demand and the price-supply equations are given respectively by the…

A:

Q: Find the consumers' surplus at a price level of $8 for the price-demand equation p = D(x) – 0.05x

A: Solution is given below : Answer: 1440

Q: (1) The revenue for a product is R(x) = -0.004x² + 21x cost is C(x) (a) Find the marginal profit for…

A: Calculate profit function  Profit function is the difference between revenue function and cost…

Q: ​D(x) is the​ price, in dollars per​ unit, that consumers are willing to pay for x units of an​…

A: Solution is here

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: Consider the given demand function and supply function, p=183-2x2 and p=x2+33x+24 respectively the…

Q: In this problem, p is in dollars and x is the number of units. Find the producer's surplus at market…

A: Demand function is:  p=100-x2 Supply function is: p=x2+6x+44

Q: Given: (x is number of items) Demand function: d(x) = 841 -0.4x² Supply function: s(x) = 0.6x² Find…

A:

Q: The demand function for a certain product is p = 121 − x2 and the supply function is p = x2…

A:

Q: In this problem, p is in dollars and x is the number of units. Suppose that the supply function for…

A:

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: The demand function is D(x)=6-x, for 0≤x≤6 and supply function is S(x)=x+6. a) Find the equilibrium…

Q: The demand curve for a product is given by q= 120, 000 – 500p and the supply curve is given by q=…

A:

Q: A company produces computers. The demand equation for this computer is given by p(q) = - 5q + 6500.…

A:

Q: The demand function for a product is given by the linearly decreasing equation p(x)=a−bx, and the…

A:

Q: Please answer in complete solutions: Find the equilibrium price p and the equilibrium quantity x…

A:

Q: In this problem, p is in dollars and x is the number of units. The demand function for a product is…

A:

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: Given, The demand function = p =81 -x2  The supply function = p =x2 +2x+69    We have to find the…

Q: (1) The revenue for a product is R(x) = -0.004x² + 21x - 6200 and the cost is C(x) = 0.02x + 38, for…

A:

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A:

Q: In this problem, p is in dollars and x is the number of units. Suppose that the supply function for…

A:

Q: In this problem, p is in dollars and x is the number of units. The demand function for a certain…

A: We know at equilibrium point demand function and supply function gives equal value.

Q: The weekly demand and supply functions for a special tent are given by p = −0.1x 2 − x + 40 p =…

A: Please find attachment for the details solution

Q: In this problem, p is in dollars and x is the number of units. Find the producer's surplus at…

A:

Q: Given: (x is number of items) Demand function: d(x) = 809.2 – 0.3x? Supply function: s(x) = 0.4x²…

A: As given above: Demand function is:  dx=809.2-0.3x2 Supply function is: sx=0.4x2 Now for equilibrium…

Q: In this problem, p and C are in dollars and x is the number of units. A monopoly has a total cost…

A: Given Cost function       C=1,000+108x+2x2  and demand function P = 324-3x-2x2

Q: 2) The demand function for a tablet is given by the model p= 200 – 16.22 where p is measured in…

A: Given, the demand function for a tablet is given by the model p= 200 – 16x2 where p is measured in…

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Given that,D(x) = (x-9)2 and S(x) = x2 + 4x + 37(a) The equilibrium point ⇒ Demand Function = Supply…

Q: If the demand curve for a particular commodity is p=0,09x+51 and the total cost function…

A:

Q: In this problem, p is in dollars and x is the number of units. Suppose that the supply function for…

A: given:- p = 4x^2 + 30x + 6.

Q: In this problem, p is in dollars and x is the number of units.Suppose that the supply function for a…

A:

Q: Given: (x is number of items) Demand function: d(x) Supply function: s(x) = 0.4x² = 240 – 0.2x² Find…

A:

Q: Suppose the demand for a product is given by p = −0.8q + 150 and the supply for the same product is…

A:

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.