The supply and demand for a product are given by  2p − q = 90 and pq = 300 + 20q,  respectively. Find the market equilibrium point. (q, p)

Q: b) Sunway College's newspaper, The Blaze has fixed production costs of RM 70 and marginal printing…

A: (iii) At break even R(x) = C(x)   iv) Profit function = revenue funCtion - cost function

Q: A manufacturer of lighting fixtures has daily production costs of  C = 800 − 50x + 0.25x2,  where C…

A: For finding minimum of any function take derivative and equate to zero.

Q: A firm’s revenue after selling q items is given by R(q) = 2q3 +36q while the firm’s costs after making…

A: R(q) = 2q3 +36qC(q) = 3q2 −10Profit, P(q) = R(q) - C(q) = 2q3 +36q - (3q2 −10) = 2q3 - 3q2 +…

Q: A company sells two different types of candles, and their profit function for a week is given by…

A: Consider the provided question, (3)

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

A:

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

A:

Q: If, in a monopoly market, the demand for a product is p = 2800 − x and the revenue is R = px, where…

A:

Q: A company operates two plants which manufacture the same item and whose total cost functions are C1…

A: Givne that  The total cost functions  And price  To maximize the profit  To find q1 and q2

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given problem is :

Q: The relationship between sales S and the amount x and y spent on two advertising media is given by…

A: Given: S=200x5+y+100y10+y To find: Solution

Q: The world price of zinc has increased to the point where “moth balled” zinc mines in east Tennessee…

A: The total production mine producing 20,000 tons per year (which is at 100% capacity) when zinc sells…

Q: Find the Break Even Point for the Firm whose cost function C and revenue function R are given.…

A: The given data is: Cost function is given as: Cx=13x+6000  Revenue function is given as: Rx=19x…

Q: A company operates two plants which manufacture the same item and whose total cost functions are C₁…

A: given  C1=7.5+0.03q12C2=3.8+0.05q22 where q1, q2 are the quantities produced by each plant. total…

Q: f in a monopoly market the demand for a product is p=1600-x and the revenue is R=px, where x is the…

A: Given,  The demand for a product is  p=1600-x Revenue is R = px  where x is the number of units sold…

Q: The cost per unit of producing a product is 200 + 0.2x dollars, where x represents the number of…

A: Find the total cost.

Q: Find the equilibrium point. D(x) = 7- 8x, S(x) = 3 + 8x

A: Equilibrium point is the point at which demand and supply function intersects. That means at…

Q: if the demand function of a firm is QD(P)=5-3p and its supply function is QS(p)=14+6 what is the…

A: QD(P)=5-3p QS(p)=14+6

Q: Given the supply and demand functions of good p = x3 + 2xs + 12 p = -x3 – 4xp + 68 Calculate the…

A: At equilibrium, the demand curve crosses the supply curve . Hence, xs=xp=x . The solution of the…

Q: Find the number of units x that produces a maximum revenue R for R=450x-0.25x^2  A.) The feasible…

A: taking first derivative of equation as 0 to get the maximum revenue

Q: If the demand equation is D(x) = 180 - 6.3x and the supply equation is S(x) = 8.2x + 3, find the…

A: If the demand equation is D(x) = 180 - 6.3x and the supply equation is S(x) = 8.2x + 3, then we have…

Q: Suppose that the long-lasting light bulb supply equation is given by p = 1.04 q- 7.03 and that the…

A: At equilibrium quantity demanded is equal to quantity supplied.

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A: Given Data: Cost Function: C(x)=180x+12000 Revenue Function: R(x)=270x At break-even point the cost…

Q: Suppose the number of smart phones a manufacturer is willing to sell is given by y=25x-600 and the…

A: Consider the given information:

Q: The relationship between sales S and the amount x and y spent on two advertising media is given by…

A: Here, the sales, S is related to the amount x and y spent on two advertising media as follows:…

Q: Find the consumer surplus at the equilibrium point. 29) D(x) = 5x +2; x = 0 A) $2 B) $5 C) $7 D) $0

A: Let D(x) be the demand function . Then the consumer surplus…

Q: A company manufactures two types of athletic shoes, jogging shoes and cross trainers. The total…

A:

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: The cost per unit of producing a product is 60 + 0.2x dollars, where x represents the number of…

A:

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: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A:

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: If the Supply function is   p= q2+8q+20  and the demand function is p=100-4q-q2  , find the Market…

A: Market equilibrium point is a point  where demand and supply are equal . Supply = demand .

Q: Find the equilibrium point if the demand and supply equations. Demand p= 110-0.00002x Supply p= 20+…

A: Given, Demand, p=110-0.00002x Supply, p=20+0.00001x At equilibrium point, the supply is equal to the…

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: Find the Particular Solution indicated. (Homogenous Linear Equation with Constant Coeffiecients)

A: Given : Homogenous Linear Differential Equation with Constant Coefficients               D2+D-12y=0…

Q: Max's total profit (in dollars) from manufacturing and selling x units of their model M loudspeaker…

A: Answer

Q: The supply and demand for a product are given by  2p − q = 70 and pq = 200 + 20q,  respectively.…

A: Consider the given: Supply Function:    2p−q=70Demand Function: pq=200+20q At equilibrium Supply and…

Q: The CMO of ABC Company presumed that the demand for a Product Y can be modeled by p=80-0.01y where p…

A: Given, Price per unit = p= 80 -0.01y  No. of units = y  Cost of producing y units = C = 6000…

Q: 6. Suppose a certain commodity has supply equation p 8x+25 and demand equation p=-x- 2x+100, where x…

A: 6. Given: Where x is the quantity measured in thousands of units.

Q: A company operates two plants which manufacture the same item and whose total cost functions are C1…

A: I am going to solve the given problem by using some simple calculus to get the required result.

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 picture frame company is willing to supply æ items for a price, in dollars, of p(x) = 2x + 208,…

A: Market equilibrium point:   The point when supply and demand curves intersect.   The supply and…

Q: The supply and demand for a product are given by  2p − q = 50 and pq = 1500 + 20q,  respectively.…

A:

Q: Given the supply and demand functions of a good -120 = –6xp – 2p %3D -40 = 2xs – p The equilibrium…

A:

Q: (c) Solve (a) by applying Gauss-Jordan elimination method. (d) Using the result obtained in (c),…

A:

Q: What will happen to the equilibrium price and quantity of new cars if the price of gasoline rises,…

A:

Q: The cost per unit of producing a product is 280 + 0.2x dollars, where x represents the number of…

A:

Q: If, in a monopoly market, the demand for a product is p = 2100 x and the revenue is R = px, where x…

A: Maximize revenue

Q: All consumens share a common valuation of 50 and face (there and back) transport costs of t0 per…

A: 40 is the correct answer that is the option c

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.