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The quantity, Q, demanded at price P is 100 - 4Q
So Q = 25 - P/4
And therefore, the demand elasticity is -1/4 or -0.25, whatever the value of Q.
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If P equals p plus at Find a when P equals 82 p equals 76 and t equals 20?
P = p + at 82 = 76 + a*20 6 = a*20 6/20 = a that is a = 3/10 or 0.3 That is the answer.
What does the p and q stand for on the axis of a demand graph?
Economics: P= Price and Q = Quantity Demanded.
20 equals 4p plus 5 plus p?
20 = 4p + 5 +p 20 = 5p + 5 5p = 20 - 5 = 15 5p = 15 p = 15/5 = 3
A student opens a mathematics book to two facing pages. The product of the pages numbers is 420. Find the page numbers?
If one of the pages is numbered p, the other is p+1. So p*(p+1) = 420 That is, p2 + p - 420 = 0 which factorises as (p - 20)*(p + 21) = 0 That implies that p = 20 or p = -21. Assuming that pages do not have negative numbers, p = 20 and then the other page is p+1 = 21.
If the length of a room is 20 feet and its width is 12 feet the perimeter of the floor area is?
p=2(L)+2(w) p=(2*20)+(2*12) p=40+24 p=64
How do you compute price elasticity of demand?
Price Elasticity of Demand = Percentage change in Quantity Demanded/ Percentage change price ep = dQ/dP . P/Q
What is the point elasticity of the demand function p plus 4q equl to 80 at 10 and 400?
To answer this question you must know two things: 1) the point elasticity formula, and 2) the demand equation. 1) the point elasticity formula says: dQ/dP X P/Q is the point elasticity at a price (P) and the corresponding Quantity (Q) -P is the price you are evaluating the elasticity at, and Q is found by evaluating the demand equation at the price (P) -dQ/dP is the derivative of Q with respect to P 2) The demand equation for this particular problem is: P+4Q=80 The Answer: Step one: differentiate the demand equation with respect to P - to do this you must algebraically solve the demand equation for Q P+4Q=80 4Q=80-P Q=20-0.25P -next you must differentiate with respect to P dQ/dP=-0.25 Step 2: plug derivative into formula -now, refering back to the original formula, you have: -0.25 X P/Q Step 3: Plug in the values for P/Q - in this problem, they want you to evaluate the elasticity at price 10 and price 400 Price at 10: Elasticity(10)= -0.25 X (10/17.5)=-0.4375 or 0.4375 (elasticities are always positive) Now, the step above is very simple, all I did is multiplied the derivative of the demand function by the price over the quantity demanded evaluated at the price by the the demand function. All that is happening is I am following the point elasticity formula outlined at the top. Price at 400: Elasticity(400)=-0.25 X (400/-80)=1.25 And there you have it!
What is elasticity of demand how it is measured?
%change Quantity Demanded divided by %change Price OR P/Q x 1/slope >1 = Elastic demand 1 = Unitary elasticity of demand <1 = Inelastic demand A. buyer responsiveness to price changes.
What has the author P Cumperayot written?
P. Cumperayot has written: 'Analysis of the effect of demand elasticity on spot prices for electricity'
What is the price elasticity of demand for a monopolist?
Elasticity of demand is critical in determining the price which maximizes profits.The monopoly pricing rule says to set (P-MC)/P=1/e, where e is the ABSOLUTE VALUE of the price elasticity of demand. (Remember, price elasticities are negative.)Note that MC is the marginal cost at the quantity produced. If it's not constant, some calculation is required to figure out how much Q to make.
What questions is the price elasticity of demand designed to answer?
Price elasticity of demand is used to determine how changes in price will effect total revenue. If demand is elastic(>1) a change in price will result in the opposite change in total revenue.(+P=-TR) When demand is unit elastic(=1) a change in price wont change total revenue. If demand is inelastic a change in price will result in a change in total revenue in the same direction.(+P=+TR)
Given the demand curve that is a rectangular hyperbola with a demand function of the form Q equals 1 over P Show that the point of elestacity will be unitary throughout the demand curve?
Assuming that the given demand curve is a rectangular hyperbola, total expenditure (i.e. rectangular area or Q*P) is the same for each point on the length of the curve. Next we use the demand function to determine the total expenditure value as Q=1/P=>Q*P=1, and we have consequently a demand curve of unitary elasticity.
What is price elasticity of vertical demand curve?
its zero I'll do a bit of the explanation: Price Elasticity of Demand captures the shift in demand for rises in prices in percentage terms. Therefore if a commodity is such that no matter what price the producer charges the consumer has no alternative but to buy it, then for any price the demand for that commodity remains unaltered, maybe an example is a monopolist salt producer. Therefore the demand curve must be vertical, no matter what the price the quantity demanded is same, hence the price elasticity is zero. (dq/dp)(p/q) = 0, because (dq/dp) = 0
What is the relation between slope of demand curve and elasticity of demand curve?
They are both used to interpret the demand curve. The slope is just the slope, rise or run, ΔY/ΔX. Elasticity is the percentage change in one variable resulting from a percentage change in another variable. Thus, the price elasticity of demand is the percentage change in quantity demanded of a good resulting from a percent change in its price. (P/Q)( ΔQ/ ΔP) This implies that the elasticity is not constant and the elasticity changes along the curve; elasticity goes from 0 (when price is 0) to infinity (when price is very high). Elasticity is a more useful tool for data analysis because it eliminates units and thus the data is easier to interpret. Elasticity is also useful when large numbers are an obstacle in interpreting data like with wage. It is also useful when the taking the log with a set of data preserves the integrity of the data, since elasticity is the slope of the log of the data points.
What has the author P L Sheng written?
P. L. Sheng has written: 'Secondary elasticity' -- subject(s): Elasticity
How do you calculate elasticity in economics?
In economics, elasticity is the ratio of the change in one variable with respect to change in another variable, such as the responsiveness of the price of a commodity to changes in market demand or visa-versa. In terms of elasticity, a market or good can be described as elastic or inelastic as a means of describing its responsiveness to the change in another quantity. In economics, the definition of elasticity is based on the mathematical notion of point elasticity[citation needed]. For example, it applies to price elasticity of demand and price elasticity of supply, in which case the functions of the interest are Qd(P) and Qs(P). When working with graphs, it is common to put Quantity on x-axis and Price on y-axis, thus the function of the interest is x(y) rather than commonly used in mathematics y(x).
What is the price elasticity of supply for a laptop?
The elasticity of supply establishes a quantitative relationship between the supply of a commodity and it’s price. Hence, we can express the numeral change in supply with the change in the price of a commodity using the concept of elasticity. Note that elasticity can also be calculated with respect to the other determinants of supply. However, the major factor controlling the supply of a commodity is its price. Therefore, we generally talk about the price elasticity of supply. The price elasticity of supply is the ratio of the percentage change in the price to the percentage change in quantity supplied of a commodity. Es= [(Δq/q)×100] ÷ [(Δp/p)×100] = (Δq/q) ÷ (Δp/p) Δq= The change in quantity supplied q= The quantity supplied Δp= The change in price p= The price
