12) Consumer's Surplus: The demand function for a product is p= 21–x² and the supply function is p= 6x+5, where p is the number of dollars and x is the number of units. Find the equilibrium point and the consumer's surplus there. Round to the nearest cent.

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

A:

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

A:

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

A:

Q: 4. The price-demand equation and the cost function for the production of table saws are given,…

A:

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

A:

Q: c) The fixed costs of a business for production of a particular item over a period are $1000 while…

A:

Q: Given: (x is number of items) Demand function: d(x) = 100 – 0.4x Supply function: s(x) = 0.4x Find…

A:

Q: The monthly demand function for a product sold by a monopoly is p = 2,020 - x? dollars, and the…

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Suppose the supply function for concrete is given (in dollars) byS(q) = 100 + 3q3/2 + q5/2,and that…

A: The supply function for concrete is given (in dollars) by S(q) = 100 + 3q3/2 + q5/2 and that…

Q: The supply function for a product is 2p − q − 50 = 0, while the demand function for the same product…

A:

Q: We solve the problem of determining the production of two products (x1, X2), unless their market…

A: 1st we will find total profit then will use  Method of lagranges multiplier to maximize it . To…

Q: Given: (x is number of items) Demand function: d(x) = 500 – 0.4x Supply function: s(x) = 0.4x | Find…

A: Given: demand function : d(x)=500-0.4x supply function : s(x)=0.4x

Q: 2. A commodity has a demand function modeled by p= 500–0.5x , and a total cost function modeled by…

A: A commodity has a defined function modeled by p=500-0.5xand a total cost function modeled by…

Q: Suppose that a manufacturer produces two brands of a product, brand 1 and brand 2. Suppose the…

A: Consider that a manufacturer produces two brands of a product, brand 1 and brand 2. The demand for…

Q: The market for a particular consumer good has a demand function given by: q = 24 - p and supply…

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

Q: 1, Find the equilibrium point for the supply and demand functions below. Enter your answer as an…

A: we know that  the point where the demand and supply curve cross is called the equilibrium point  As…

Q: Find the price that will maximize profit for the demand and cost functions, where p is the price, x…

A:

Q: 2) If demand is represented by the function Pp = f(q) and supply is represented by the function P =…

A:

Q: Suppose that in a certain market the demand function for a product is given by 10p + q = 2,100 and…

A: Given demand function for a product is 10p+q=2100 and the supply function is 50p-q=1250 The…

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 for a certain product is p=144-x2 and the supply function is p=x2+2x+84.…

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 producer's surplus at the market equilibrium point if supply function is p= 0.7x+12 and the…

A: Given that, Supply function is, p = 0.7x + 12 and the demand function is, p = 164.7/x We have to…

Q: 6. The demand and supply equations for a product is given by p 65-2.1x p= 43+1.9x respectively,…

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

A: Refer to the figure shown below:

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

A:

Q: 1. The demand function for a good is shown by the equation P = 20 -Q, while the supply function is P…

A: Consider the provided question, Given, demand function, P = 20-Q and supply function, P = 2+0.5Q

Q: 3(a) The cost of manufacturing motor cycles (per day) is related to number to number of motor cycles…

A: Here we have to use the concept of derivatives.

Q: The weekly demand and supply functions for Sportsman 5 ✕ 7 tents are given by p = −0.1x2 − x + 90…

A: We have given the demand and supply functions p = −0.1x2 − x + 90 andp = 0.1x2 + 2x + 70…

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

A:

Q: Find the producer's surplus at market equilibrium for a product if its demand function is p = 169 −…

A:

Q: A commodity has a demand function modeled by  p = 25 − 0.5x, and a total cost function modeled by C…

A: The demand function is given by p = 25-0.5x…

Q: The monthly demand function for x units of a product sold by a monopoly is p = 5,200 - dollars, and…

A: Revenue=p.q TC=AC.q p is price , q is quantity.

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

A:

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

A:

Q: price

A: At Equilibrium, Demand = Supply,

Q: Suppose that a manufacturer produces two brands of a product, brand 1 and brand 2. Suppose 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: 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: 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: Find the producer surplus for a commodity with a demand function p = 12 / x + 1 and a supply…

A: Given data- We have given the demand and supply functions. Demand function p = 12 / x + 1  Supply…

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

A: According to question given that Demaind Equation p=350-qCost function c=12q2+50q+500 where 50≤q≤120

Q: A company produces and sells a consumer product and is able to control the demand for the product by…

A:

Q: Currently, the hottest-selling item at OHaganBooks.com is Mensa for Dummies, with a demand curve of…

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:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.