Given the demand function d(p) = 45 – p, and the supply function s(p) = 12p. Calculate the following: a) The equilibrium price: $ b) The gains from trade is the sum of the consumer and producer surplus. Calculate the gains from trade (round to two decimal places):

Q: Calculate the consumers' surplus (in dollars) at the indicated unit price p for the demand equation.…

A:

Q: Find the producers' surplus if the supply function for pork bellies is given by the following. 5/2…

A: Given supply function is S(q)=q52+4q32+53 Supply at q=25…

Q: An automobile manufacturer finds that the demand equation of producing a certain product is p = 350…

A:

Q: Given the demand function Pa= 24 Q2 and the supply function Ps = 3Q+14. Assuming pure competition,…

A:

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: Find the daily consumer surplus if the demand equation is given by p=−0.3·q+120, and the business…

A:

Q: Given the demand function p= (q – 10)2, 0<qs 10, and the supply function p = q?,

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 3.   The demand for watches is given by p = 7000 − 2q dollars,and the supply of watches is given by…

A:

Q: Find the producers' surplus if the supply function for pork bellies is given by the following 7/2…

A:

Q: If the supply function for vehicle floor mats is 4p−q−152=0 and the demand function is…

A: We are given supply and demand functions. By using these functions, we have to find the equilibrium…

Q: Given the given cost function C(x) = 5300 + 550z + 1.3z and the demand function p(x) = 1650. %3D…

A:

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

A:

Q: If the monthly demand function is p = 7230 – 5q? and the supply function before taxation is p = 30 +…

A:

Q: Given the demand curve P = 35 – g² and the supply curve p = 3+ q , find the producer surplus when…

A:

Q: 1 —х, х 3D400 2 d(x) = 900

A:

Q: Faced with two distinct demand functions Q, 16-0.5P, and Q, = 20-0.1P where TC= 100 + 20Q with Q =…

A: Given that: First we have to solve the demand equations for price We get,

Q: Given cost and price​ (demand) functions C(q)=110q+45,000 and p(q)=−2.1q+860​, what is the maximum…

A:

Q: for the given demand equation. p = 50 − 1/2q; p = 7

A: Given equation is p=50-(1/2)q also given that p=7 have to q=?

Q: For Jones, X and Y are perfect substitutes, and he is always willing to substitute 6 units of X for…

A: X and Y are perfect substitutes so the negligence curve will be a straight line. Px = 5 Py = 15 M…

Q: Given cost and price​ (demand) functions C(q)=100q+42,000 and p(q)=−1.9q+850​, how many items must…

A: Given query is to find the number items to be sold to obtain the maximum profit.

Q: Maximise the profit for a firm, assuming Q > 0, given that: • its demand function is P = 4,000 - 33Q…

A: Demand function of the firm is given by P=4000-33Q Cost function: C=2Q3-3Q2+400Q+5000

Q: Consider the following demand and supply functions. D(x) = 200 – 0.9x, S(x) = 0.7x + 160, 0 < x < 60…

A: Given: Demand curve, D(x)=200-0.9x. Supply curve, S(x)=0.7x+160. The objective is to find the…

Q: calculate the consumers Surplos at the ndicated unit price P for the demand equation 13

A: Given that: Price, p=12-2q1/3 and p=8

Q: Calculate the consumers' surplus at the indicated unit price p for the demand equation q = 90- e0…

A: Topic:- application of integration

Q: Calculate the consumers' surplus (in dollars) at the indicated unit price p for the demand equation.…

A: Consumer's Surplus , CS = ∫0q p(q)-p dq .

Q: Find the producers’ surplus if the supply function for pork bellies is given (in dollars) byS(q) =…

A: Given, Sq=q52+2q32+50q=16

Q: Given the demand equation p(x) = V 10000 - 0.01x2 and the supply equation P(x) = 0.1x + 20, find the…

A: Given:Demand equationpx=10000-0.01x2Supply equationp(x)=0.1x+20

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: The supply function for a product is 2p − q − 10 = 0, while the demand function for the same…

A: The supply function is given by                   2p - q - 10 = 0 and The demand function is given…

Q: For the given cost and demand functions, find the production level that will maximize profit. (Round…

A: you can clearly understand if you follow the below solution   production level that will maximize…

Q: QUESTION 3 Given the demand equation D(x) = -0.2x + 0.9 and the supply equation S(x) = 0.8x + -0.8,…

A: The equilibrium price is where the supply of goods matches demand.

Q: Given the given cost function C(x)=6600+400x+.7x2 and the demand function p(x)=1200 Find the…

A:

Q: Given the demand function for a product is p = (400– q)/2 and the supply function is q = 60 p + 300…

A: Write the supply function in terms of q. psupply=q-30060

Q: Given the Demand Function D(p)= 275-4p^2 Find the Elasticity of Demand at a price of $5

A:

Q: Given the demand function D(p) = 200 – 4p, Find the Elasticity of Demand at a price of $2

A:

Q: Find the producers' surplus if the supply function for pork bellies is given by the following. 3/2…

A:

Q: Calculate the consumers' surplus (in dollars) at the indicated unit price p for the demand equation.…

A:

Q: Calculate the Consumers’ Surplus if the demand equation is p = 20 − 2q 1/3 and the unit price is set…

A: Given informationDemand equation

Q: Given the demand curve p = 35 – q and the supply curve p = 3+ q, find the producer surplus when the…

A:

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: Calculate the consumers' surplus if the demand equation is p=20-2q1/3 and the unit price is set at…

A: Given, demand equation and unit price

Q: - Given cost and price (demand) functions C(q) = 100q + 45,300 and p(q) = 2q +900, what profit can…

A:

Q: dollars) at the indicated unit price  p  for the demand equation. p = 11 − 2q1⁄3;  p = 5 $

A:

Q: Given: (x is number of items) Demand function: d(x) = 100 – 0.2x Supply function: s(x) = 0.6x - Find…

A:

Q: Consider the following demand and supply functions. D(x) = 238 – 0.9x, S(x) = 0.5x + 204.4,0 ≤ x ≤…

A:

Q: Find the producers' surplus at a price level of p = $59 for the price-supply equation below. p= S(x)…

A:

Q: Calculate the consumers' surplus (in dollars) at the indicated unit price  p  for the demand…

A:

Q: Calculate the consumers' surplus at the indicated unit price p for the demand equation. q=120-.25p^2…

A: Given that the demand function is: q = 120 - 0.25p2 ; p = 12 Then we get, 0.25p2 = 120 - q p2 = (120…

Q: Consider the price-demand equation given by p= 8/5 − 1/2,500x. Calculate E(2), where E is the…

A: Find the elasticity of demand E (2).First find the demand function from price-demand equation.

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.