Certain retailers will buy 15 cordless phones from a supplier if the price is $70 each but only 24 if the price is $16. The supplier will furnish 40 phones at $47.5 each and 25 at $41.875 each. Assuming that the supply and demand functions are linear, find the market equilibrium point. Input your answer in the form (q,p)(q,p), where qq stands for the equilibrium quantity and pp stands for the equilibrium price. Market Equilibrium point:

Q: Find the consumer's surplus (rounded to the nearest cent) and the producer's surplus at the…

A: We are given :                       p=S(q)=0.25q+5;p=D(q)=20q+4500q+50where:        0≤q≤100   To…

Q: A group of retailers will buy 92 televisions from a wholesaler if the price is $400 and 132 if the…

A: Given,for demand P1=400,Q1=92,P2=350,Q2=132 For supply, P1=350,Q1=56,P2=440,Q2=136

Q: If the supply function for a commodity is p = q² + 8q + 22 and the demand function is p = 198 – 4q…

A: Solution:GivenCommodity     p = q² + 8q + 22Demand     p = 198 – 4q -4²,To find equilibrium quantity…

Q: 2- Find the equilibrium price and quantity for the following functions a- Q= -20+3P Qa=220-5P b-…

A: I am attaching image so that you understand each and every step.

Q: A study of a country's colleges and universities resulted in the demand equation q = 20,000 - 2p,…

A: Given Demand equation q = 20000-2p q = 7600+0.5p

Q: The demand for watches is given by p = 7000 − 2q dollars,and the supply of watches is given by p =…

A:

Q: The demand for watched is given by p= 7000-2q dollars, and the supply of watches is given by p=…

A:

Q: Q.5 (a) Retailers will buy 45 cordless phones from a wholesaler if the price is $10 each but only 20…

A: Given: Demand  Price $ 45 10 20 60   Supply Price $ 35 30 70 50

Q: At a price of $50 per bookshelf, 145 shelves are demanded by consumers, but at a price of $80 per…

A: Assuming demand has Linear relationship with price   Demand(d)        Pricey        d,y     14570…

Q: The Catalog Store has data indicating that, when the price of a CD bookcase is $135, the demand…

A: topic -linear equations

Q: 124 if the price is $ 375. The wholesaler is willing to supply

A: In this question we will use basic of algebra i.e concept of demand and supply function. First we…

Q: The demand for watches is given by p = 7000 − 2q dollars, and the supply of watches is given by p =…

A:

Q: Q.5 (a) Retailers will buy 45 cordless phones from a wholesaler if the price is $10 each but only 20…

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

Q: Retailers will buy 45 Wi-Fi routers from a wholesaler if the price is $10 each but only 20 if the…

A: According to the given information, for demand function we have two coordinates, (10,45) and…

Q: A retail chain will buy 1100   cordless phones if the price is ​$10   each and 700   if the price…

A:

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

A: Given that,                  D(p) = 2000-10p&     S(p) = 950 +5p For the equilibrium point,…

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

A:

Q: The equilibrium price of the given demand and supply functions is p = 30log (xp) – 3 p = 29log (xs)…

A: To determine: The equilibrium price of the given demand and supply function, p=30 logxD-3p=29…

Q: A study of a country's colleges and universities resulted in the demand equation q = 20,000 – 2p,…

A:

Q: Given the demand and supply functions by: p + q²= 1000 and p- 25q = 50, respectively. If a $50 tax…

A:

Q: The demand for watches is given by p = 7000 2q dollars, and the supply of watches is given by p =…

A: At the equilibrium point, the demand function and supply function must be equal.

Q: For the demand function Qd= a- bP and the supply function Qs=dP-c, using Cramer's rule, determine…

A: To determine the equilibrium proce and equilibrium quantity.

Q: Find the​ producers' surplus if the supply function for pork bellies is given by the following.…

A:

Q: Given demand and supply for the cobweb model as follows, find the intertemporal equilibrium price,…

A: Consider the provided question, First we have to fund the intertemporal equilibrium price,

Q: At a price of $70 there is demand for 756 items and a supply of 350 items. At a price of $130 there…

A: Consider the provided question, According to the given question we make a table for supply and…

Q: Find the equilibrium point for the demand and supply functions D(p)=108 – 11p and S(p) = 70+8p. %3D

A:

Q: Find the equilibrium point for the demand and supply functions D(p)= 108 – 11p and S(p)= 70+8p.

A: Dp=108-11p & Sp=70+8p

Q: Find the equilibrium point (q, p) for a product whose supply and demand equations are p = -g + 50…

A: For equilibrium point we Equate demand and supply equation from where we find value of p and q. On…

Q: Demand Supply p = 80 – 0.03x p = 41 + 0.1x (x, p) =

A:

Q: Find the producers surplus if the supply function for pork bellies is given by the following.…

A: p = S(q)=q7/2+2q5/2+51  Supply and demand are in equilibrium at q=4 Hence, equilibrium price, p =…

Q: At a price of $70 there is demand for 420 items and a supply of 210 items. At a price of $1 is…

A: We shall find the supply and demand function and then equilibrium occurs when they are equal.

Q: A study of a country's colleges and universities resulted in the demand equation q = 20,000 – 2p,…

A: Given:     Demand equation q=20,000-2p                                   qd=20,000-2p…

Q: Find the equilibrium point of the demand and supply equations. Demand Supply p = 470 – 0.5x p = 338…

A:

Q: The equilibrium quantity of the given demand and supply functions is p = 3log (5xp) – 2 p = 2log…

A: The demand and supply function are given as follow respectively: We need to determine quantity, Let…

Q: You have been hired as a marketing consultant to Johannesburg Burger Supply, Inc., and you wish to…

A: Solution: Given equation : q = mp + b

Q: if the demand function of a firm is Qd (p) = 35-7p and its supply function is Qs (p) = 15+3p. what…

A:

Q: The quantity demanded x (in units of a hundred) of the Mikado miniature cameras per week is related…

A:

Q: The demand for watches is given by p = 7000 − 2q dollars, and the supply of watches is given by p =…

A:

Q: Find the equilibrium point (q,p) for a product whose supply and demand equations are 35q - 2p + 250…

A:

Q: Find the producers' surplus if the supply function for pork bellies is given by the following. S(q)…

A:

Q: The supply and demand for a product are given by  2p − q = 60 and pq = 1500 + 25q,  respectively.…

A:

Q: (c) The demand for watches is given by p = 7000 − 2q dollars,and the supply of watches is given by p…

A:

Q: The Catalog Store has data indicating that, when the price of a CD bookcase is $138, the demand…

A: The Catalog Store has data indicating that, when the price of a CD bookcase is $138, the demand…

Q: Find the market equilibrium point for the following demand and supply equations. Demand: p = – 4q +…

A:

Q: Find the equilibrium price and equilibrium quantity for a product whose supply and demand functions…

A: Find the equilibrium price and equilibrium quantity for a product using supply and demand function.

Q: At a price of $26.50, producers will provide 10 items, while at a price of $37.25, they will provide…

A: When the supply and demand curve intersects then the market is in equilibrium and the point of…

Q: A group of retailers will buy 116 televisions from a wholesaler if the price is $300 and 156 if the…

A: Given - A group of retailers will buy 116 televisions from a wholesaler if the price is $300 and 156…

Q: 1.(c) The demand for watches is given by p = 7000 − 2q dollars, and the supply of watches is given…

A: Let demand function be D(q) and supply function be S(q). Thus,

Q: The demand for watches is given by p = 7000 − 2q dollars, and the supply of watches is given by p =…

A:

Q: The supply and demand for a product are given by  2p − q = 90 and pq = 300 + 20q,  respectively.…

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.