.. A lifetime subscription to an online gaming site is estimated to have demand and supply functions: 2000 D(q) and S(q) = 80(1+0.02q). 1+0.02q' Find the price at which supply equals demand. At this price level compute the Producers' Surplus and the Consumers’ Surplus.

Q: Suppose that the monthly demand function of a particular commodity is given by P= 200 -0.4x and the…

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Q: Given: (x is number of items) Demand function: d(x) = 361 – Supply function: s(x) 0.4x? 0.6x Find…

A: a) As the demand function is d(x)=361-0.4x2 and supply function is s(x)=0.6x2 thus equate them and…

Q: Consider a competitive market in which price adjusts to excess demand or supply a enter and exit the…

A: (i) Given,                                   dpdt=0.5(qD-qs)                    (1)Where,…

Q: Find the consumers surplus at the equilibrium quantity: $

A: equlibrium quantity is obtain by equating d(x) and s(x).

Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by q = (84 -…

A:

Q: If consumption is $3 billion when disposable income is $0, and if the marginal propensity to save i…

A: Given: To Find:

Q: The demand curve for product a is given as Q = 2000 - 20P. How many units will be sold at $10?…

A: Q =2000-20P  (4)   at P =$ 70                          Marginal Revenue          Q =2000-20×70…

Q: 1. The demand function for an electronics company's stereos is D(g) = 228.4 -18q and the supply…

A: Given problem:- 1. The demand function for an electronics company's stereos is D(q) = 228.4-18q and…

Q: A company has determined the demand and supply functions for a product are given by        p =  D(…

A: Given demanf function,p = D(x) = 14 - x2Supply function p = S(x) = 4x + 2

Q: #10-The maxgmad cost of a produt is madeled by T when x:3, C40. Find the cost furction.

A:

Q: Consider a cost function with the cost C in rands and q the number of units produced. If the…

A: Image is attached with detailed solution.

Q: Find the elasticity of the demand function 2p + 3q = 270 at the price p = 15.

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Q: find the national consumption function.

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Q: Find the cost function for marginal cost function  C′(x) = x2/3 + 2;    8 units cost $58

A: The marginal cost function is the derivative of the cost function. Hence the integration of the…

Q: If consumption is $9 billion when disposable income is $0, and if the marginal propensity to save is…

A: The disposable income is $0. The consumption at $0 disposable income is $9 billion. The marginal…

Q: The demand for a particular item is given by the demand function D(x) = 1400 – r2 %3D Find the…

A: The demand for a particular item is given by the demand function D(x)=1400-x2. Find the consumer's…

Q: The demand for a particular item is given by the function D(x) = 1, 500 – 3x² . Find the consur the…

A: The consumer's surplus: - The term "consumer surplus" refers to the monetary value of a person's…

Q: The snowboard industry has the following labour supply is ES = 150 + 10w and labour demand is ED =…

A:

Q: Given: (x is number of items) Demand function: d(x) = 264.6 – 0.2x? Supply function: s(x) = 0.4x?…

A:

Q: Find the production level at which the marginal cost function starts to increase. C(q) = 0.001q3 -…

A: Given cost function is  Cq=0.001q3-0.69q2+466q+60000

Q: If a demand curve is given by y = 50 −.02x  where x is the price in dollars, and y is the sales of…

A: Given demand curve is  y=50-0.02x where x is the price in dollars, and y is the sales of Really Big…

Q: Find the​ consumers' surplus if the demand function for a particular beverage is given by…

A:

Q: Use the​ price-demand equation to find​ E(p), the elasticity of demand.   x=f(p)=170-25 ln (p)

A:

Q: Given: (x is number of items) Demand function: d(x) Supply function: s(x) = 0.3x? 352.8 – 0.5x? Find…

A: Equillibrium quantity = 21

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: If consumption is $6 billion when disposable income is $0, and if the marginal propensity to consume…

A:

Q: Find the consumers' surplus if the demand function for a particular beverage is given by D(q) = 4000…

A:

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

A:

Q: Given: (x is number of items) Demand function: d(x) = 633.6 – 0.622 Supply function: s(x) = 0.52?…

A:

Q: Find the consumer surplus for the demand curve p = 270 – 8q when q * = 15 items are sold at the…

A:

Q: A company has determined that its price-demand function for its sale of its product is given by…

A: Price - demand function :  p + 0.05 x = 85  x =  ( 85 - p ) / 0.05

Q: Given the marginal-cost function 1.4q? – 2q + 6.5 and fixed cost 400, find the total-cost function.

A: Explanation of the answer is as follows

Q: If consumption is $4.7 billion when income is $1 billion and if the marginal propensity to consume…

A: Given Data: The consumption when income is $1 is: C1=$4.7 billion The equation of marginal…

Q: Find consumer's surplus at the market equilibrium point given that the demand function is p=V529 68x…

A:

Q: If consumption is $3 billion when disposable income is $0, and if the marginal propensity to save is…

A:

Q: mand equation below to fin

A: Here we have,  the price-demand equation x=f(p)= 40,000 - 350p .................... (1) We have to…

Q: Given: (x is number of items) Demand function: d(x) = 500 – 0.2x Supply function: s(x) = 0.6x Find…

A:

Q: A firm faces a demand function of the form P = 90 – 2Q? (a) Plot the graph for their total revenue…

A:

Q: Find the value of the marginal rate of technical substitution for the production function Q =…

A: The given production function is

Q: Given the demand function   P = 12.5e0.04Q   Determine the quantity Q and price P at which total…

A:

Q: Determine the point elasticity n of the demand equation pq+ p+ 50q = 10,000 when p = 200. On--0.820;…

A: Based on the general formula of elasticity we will solve the question. Please follow the procedure…

Q: for the total cost function C = Jax +b, where a constants, the elasticity of total cost increases…

A: Introduction: Cost elasticity is defined as the ratio of a percentage change in the total cost to a…

Q: The total cost of producing w phone sets per day at Cutting Edge Electronics plant is $( ½ w^2 + 70w…

A:

Q: Given Cost and Price (demand) functions C(g) = 120q + 45000 and p(g) = - 2.2q + 900, what is the…

A:

Q: The weekly sales of Honolulu Red Oranges are given by q = 1, 000 − 10p. Calculate the price…

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: Consider a competitive market in which price adjusts to excess demand or supply and firms enter and…

A: iv) Given system of differential equations are        dpdt=0.5qD-qSdNdt=54p-10 Substituting qD=30-2p…

Q: If consumption is $2 billion when disposable income is $0, and if the marginal propensity to save is…

A:

Q: 7000 Find the consumers' surplus if the demand function for a particular beverage is given by D(q) =…

A: Here we have to find the consumer's surplus if the demand function for a particular beverage is…

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.