per unit Definition and 105 Threads

A product's average price is the result of dividing the product's total sales revenue by the total units sold. When one product is sold in variants, such as bottle sizes, managers must define "comparable" units. Average prices can be calculated by weighting different unit selling prices by the percentage of unit sales (mix) for each product variant. If we use a standard, rather than an actual mix of sizes and product varieties, the result is price per statistical unit. Statistical units are also called equivalent units.
Average price per unit and prices per statistical unit are needed by marketers who sell the same product in different packages, sizes, forms, or configurations at a variety of different prices. As in analyses of different channels, these product and price variations must be reflected accurately in overall average prices. If they are not, marketers may lose sight of what is happening to prices and why. If the price of each product variant remained unchanged, for example, but there was a shift in the mix of volume sold, then the average price per unit would change, but the price per statistical unit would not. Both of these metrics have value in identifying market movements. In a survey of nearly 200 senior marketing managers, 51 percent responded that they found the "average price per unit" metric very useful in managing and monitoring their businesses, while only 16% found "price per statistical unit" very useful.In retail, unit price is the price for a single unit of measure of a product sold in more or less than the single unit.
The "unit price" tells you the cost per pound, quart, or other unit of weight or volume of a food package. It is usually posted on the shelf below the food. The shelf tag shows the total price (item price) and price per unit (unit price) for the food item. Research suggests that unit price information in supermarkets can lead shoppers to save around 17-18% when they are educated on how to use it, but that this figure drops off over time.Unit price is also a valuation method for buyers who purchase in bulk. Buyer seeks to purchase 10000 widgets. Seller One offers 1000 widgets packaged together for $5000. Seller Two offers 5000 widgets packaged together for $25000. Seller Three offers 500 widgets packaged together for $2000. All three sellers can offer a total of 10000 widgets to Buyer. Seller One offers widgets at a unit price of $5. Seller Two offers widgets at a unit price of $5. Seller Three offers widgets at a unit price of $4. Buyer uses unit price to value the packages offered by each of the three sellers and finds that Seller Three offers widgets at the best value, the best price.
Unit price is a common form of valuation in sales contract for goods sold in bulk purchasing.
The stock price of securities is a form of unit price because securities including capital stocks are often sold in bulks comprising many units.Unit price also is often used in the trade of consumable energy resources.

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  1. S

    Help please .Transmission line parameters in per unit

    Help please...Transmission line parameters in per unit hello there I'm trying to work on a program that converts electrical quantities of transmission line ( R , L , and C ) into per unit system using Matlab the thing is that I'm finding difficulties with the formulas , how I can obtain...
  2. R

    Fuel per unit distance decreasing?

    I was reading a link i found here on physicsforums called "The relativistic rocket". There was lots of calculations of the required fuel for certain distances and such. However, I understand that time→0 when our velocity v→c. And that will mean we travel a larger distance for a shorter...
  3. P

    Conductance per unit length of a co-axial cable (Intro to Electromagnetics)

    Homework Statement Starting with: G = \frac{I}{V}= \frac{-\int_{s}\sigma\mathbf{E}\cdot d\boldsymbol{s}}{-\int_{l}\boldsymbol{E}\cdot d\boldsymbol{l}} Derive the conductance per unit length, G', of a coaxial cable by assuming a line charge of \rho_{l} on the center conductor...
  4. D

    How Do You Calculate Per Unit Values for a 20MVA Motor at 13.8kV?

    1) I'm not sure how to solve this question A 20MVA induction motor connected at 13.8kV draws a load current of 1.0 p.u, 0.85 power factor lag. Calculate the rated load current in Amps and the real power and reactive power drawn by the motor. Express these quantities in per unit form using...
  5. K

    Force per unit length between two parallel whires of +/- X volts

    Homework Statement Two parallel whires, separated by a distance D (midpoint distance), are charged with a current density L (each whire has a radius R). If the whires have the potential +/- X Volts, what is the force per unit length between them? Homework Equations B = μ0*I /(2πr) is...
  6. S

    Calculating Cost Per Unit of Solar Energy from Data Sheet

    Homework Statement I don't know if this is a physics problem per se but its from physics class. So we were supposed to pick out a solar panel and figure out what is the cost per unit of energy for this form of solar energy? I know where supposed to use the data sheet for the panel that we...
  7. M

    HELP Mass per unit length equation

    Homework Statement Ok so using the standard equation v = Sqrt(T/Mu) I want to find Mu as a gradient for the first fundamental. I've made it into F x lambda = sqrt(T/Mu) Then f x 2l = sqrt(T/Mu) Then f= sqrt(T/4l^2 Mu) As I'm having the tension held by a mass suspended over a pulley. f=...
  8. P

    Density of states of graphene per unit area

    Dear all, My aim is to get the density of states (DOS) per unit area for monolayer (bilayer) graphene. I have done this using mathematica. I have set a sampling k grid with 22500 points and computed the expression: DOS=(1/Nk)*Ʃ δ(E-Ek) where the sum is over the k points in the reciprocal...
  9. C

    Rotating cylinder on x'-axis in S' frame. Find twist per unit length in S frame

    Homework Statement A cylinder rotating uniformly about the x' axis of S' will seem twisted when observed instantaneously in S, where it not only rotates but also travels forward. If the angular speed of the cylinder in S' is ω, prove that in S the twist per unit length is yωv/c(squared)...
  10. P

    Poynting Vector - Finding stored energy per unit length of a solenoid

    Homework Statement long solenoid of n turns per unit length is wound upon a cylindrical core of radius a and relative permeability. The current I through the solenoid is increasing with time t at a constant rate. Obtain expression for the rate of increase of stored energy per unit length...
  11. T

    Relationship between charge carriers per unit volume and resistance

    Why is the number of charge carriers per unit volume is inversely proportional to resistance?If there is more charges carrier, it doesn't increase the collision between free electron which causes in increase of resistance?sorry for my unclear concept of Electricity circuit.I hope there will be...
  12. J

    Calculating the number of particles colliding with an area per unit time

    Homework Statement Consider a small portion (area=A) of the inside wall of a container full of gas. Show that the number of molecules colliding with this surface in a time interval Δt is PAΔt/(2mvx avg), where P is the pressure, m is the average molecular mass, and vx avg is the average x...
  13. P

    Understanding Potential Difference: Work Done per Unit Charge?

    I learned Potential but could not understand what Potential Difference is. Some define it as Work Done per unit charge. I am confused what per unit charge is. Does that mean electrons or protons ? As much as I know, electric current is the flow of negatively charged electrons to the positive...
  14. J

    Power distribution - Per unit question problem

    Hi, exam question: My doubts start where it comes up with: S=75(0.8-j0.6) and Vr = 0.97 p.u. Its easy to determine that 75 comes from 60/0.8, but where is the part in the brackets coming from ? Also how was the 0.97 determined ? Thanks in advance.
  15. Z

    Bernoulli equation in terms of energy per unit volume

    dear PF.. what is the Bernoulli equation in terms of energy per unit volume the equation include the 1) static pressure 2) hydrostatic pressure 3) dynamic pressure 4) stagnation pressure
  16. T

    Related Rates of Change Per Unit Time

    Homework Statement In the special theory of relativity the mass of a particle moving at speed v is given by the expression m/(1-(v2/c2)) where m is the mass at rest and c is the speed of light. At what rate is the mass of the particle changing when the speed of the particle is (1/2)c and is...
  17. T

    Total energy per unit area of a EM pulse

    B=Boexp[-(kz-ωt)2)] i(hat) Calculate the electric field associated with the above magnetic field pulse. Calculate the Poynting vector for the EM field and the total energy per unit area. Use Maxwell's equations in vacuum and assume electric potential is zero. Homework Equations...
  18. G

    Calculating maximum amount of water vapor per unit volume

    Homework Statement Compute the maximum amount of water vapor per unit volume that air can hold at the surface, where Ts = 288 K, and at a height of 10 km where T = 220 K. Express your answers in kg m-3. Homework Equations e_{s}=Ae^{\beta T} e=\rho _{v}R_{v}T The Attempt at a...
  19. M

    Mass Per Unit Length: Easily Calculate

    I need to obtain the mass per unit length. Is it as simple as just mass / length?
  20. D

    Thermodynamics - Work done per unit mass

    Homework Statement A sample of dry air has initial pressure p1 = 1000 hPa and temperature T1 = 300k. It undergoes a process that takes it to a new pressure p2 = 500 hPa with unchanged temperature T2 = T1. Compute the mechanical work per unit mass performed by the sample under the following...
  21. J

    What is the meaning of luminosity per unit frequency?

    I am just trying to understand exactly what luminosity per unit frequency is. I know that luminosity (L = 4PI(r2)(flux)) is amount of energy per unit time, but not sure what it means when it is also per unit frequency. The question has a cosmic source of 100 solar luminosity, all emitted...
  22. B

    Calculating the mass per unit length of a string based on the graph of f vs. 1/L

    Homework Statement The frequency of a vibrating string is set to 15, 20, 25, 30, or 35 Hz and the length needed to attain a standing wave (mode 1) is recorded. A graph of frequency versus 1/L is recorded. Calculate the mass per unit length of the string. The resulting graph has the...
  23. T

    Number of electrons per unit volume

    Why is the number of electrons per unit volume , n fixed in a conductor regardless of the temperature while its not in semiconductors ??
  24. Y

    Force per unit length of wires-

    Homework Statement Two wires have current both running in the positive x direction as shown in the diagram with I1 = 13.9 amps and I2 = 4.5 amps. They are separated by a distance of d = 4.7 meters. A third wire with I3 = 10 amps is placed somewhere between the two wires with current running...
  25. N

    Calculate the capacitance per unit length of the cable

    Homework Statement The coaxial cable from a television or other device has an inner conductor with diameter of 1 mm and the shield of diameter 5 mm. Assume a plausible value for the dielectric constant (3 ≤ κ ≤ 5) of the dielectric separating the two conductors and calculate the capacitance...
  26. C

    Determine the mass per unit length of the string.

    Homework Statement A guitar's E-string has length 65 cm and is stretched to a tension of 85 N. It vibrates at a fundamental frequency of 329.79 Hz. Determine the mass per unit length of the string. 1Your answer is in kg/m Homework Equations (mass per unit length) = (tension) /...
  27. M

    Force per unit length on the wire in the bottom left hand corner.

    1. Homework Statement [/b] Suppose in the figure that the four identical currents i = 13 A, into or out of the page as shown, form a square of side 64 cm. What is the force per unit length (magnitude and direction) on the wire in the bottom left hand corner? (N/m) Take the positive y direction...
  28. T

    Finding capacitance per unit length

    Homework Statement You are planning to install a home video studio. A very important piece of information is missing from the specifications. You must find the capacitance per unit length for a coaxial cable. The cable has an inner radius of 2.0mm and an outer conductor 4.0mm in radius...
  29. T

    Electron repulsion per unit volume

    Hi, I am trying to calculate how many electrons I need to confine in one cubic centimeter to make the pressure on the "walls" 1psi. I've tried the equation for the repulsion of two charges, but we're talking about trillions of electrons here and they're all pushing on each other however...
  30. B

    Capacitance per unit length help

    1. Homework Statement [/b] You are planning to install a home video studio. A very important piece of information is missing from the specifications. You must find the capacitance per unit length for a coaxial cable. The cable has an inner radius of 1.1 {\rm mm} and an outer conductor 3.1 {\rm...
  31. V

    Absorption coefficient per unit path length determined for excitation

    How is the absorption coefficient per unit path length determined for excitation sites in a host crystal with an excitation site density of N and a bandgap of the excitation site equal to the photon energy? What I am trying to determine is how many photons will be absorbed for a given length.
  32. T

    Transformer and Generator in Per Unit System

    Homework Statement A 3-phase generator rated 100 MVA, 13.2 kV, X = 20% is connected through a Δ/Y transformer to a transmission line whose series reactance is 40 ohms per phase. Assume that the base values in the line circuit are 200 MVA and 115 kV. Find the generator and transformer...
  33. M

    Find the magnitude of force per unit length exerted by one wire on the other

    Homework Statement Two long straight wires in the xy plane are parallel to the x axis. One wire is at y = −8 cm and the other wire is at y = 8 cm. The current in each wire is 24 A and the currents are in the negative x direction. The permeability of free space is 4 π × 10−7 T · m/A...
  34. X

    Energy per unit area of EM wave

    Homework Statement The E field in an EM wave has a peak of 22.8 mV/m. What is the average rate at which this wave carries energy across unit area per unit time? Homework Equations S = e_0*c*E^2 The Attempt at a Solution where e_0 = 8.85*10^-12 c = 3*10^8 E = 0.0228 V/m S =...
  35. W

    Finding mass per unit length of a string

    i am a non physics or math major taking a 'physics of sound and music' course that deals with different wave forms. i am enjoying the class very much (more than i thought i would!) but am having trouble with the math, as the last math class i took was pre-calculus my junior year of high school...
  36. X

    A very long uniform line of charge has a charge per unit length of 4.82 uC/m

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  37. I

    What Is the Magnetic Force Per Unit Length on a Wire in a Bundle?

    Homework Statement A packed bundle of 100 long, straight, insulated wires forms a cylinder of radius R = 0.600 cm. If each wire carries 4.50 A, what are the magnitude and direction of the magnetic force per unit length acting on a wire located 0.200 cm from the center of the bundle?Homework...
  38. P

    Solving EM Wave Emission from Cavity at T: Power per Unit Area

    Homework Statement Basically, the problem states that a cavity at temperature T is emitting EM waves isotropically in all directions (with frequency distribution of Planck's Law). If the time averaged density is <e>, find the value of d<S>/dw where w is the solid angle and the quantity is the...
  39. Somefantastik

    Flux per unit projected area per unit solid angle,

    "flux per unit projected area per unit solid angle," L = \frac{\partial \Phi}{\partial \left(cos \Theta \right) \ \partial \Omega} What is this quantity? I mean, I know it's "flux per unit projected area per unit solid angle," how does the math work? I know it's not \frac{\partial...
  40. K

    Importance of Low Resistance per Unit Length in Electrical Cables

    Homework Statement Some electrical appliances are used with long cables to connect to them to the electrical supply. State and explain 2 reasons why these cables should have a low resistance per unit length. The Attempt at a Solution well for the long cables, a low resistance per...
  41. C

    Finding mass per unit length for stretched strng given tension?

    [SOLVED] Finding mass per unit length for stretched strng given tension? A transverse wave on a stretched string under Tension = 5N is defined by the equation: y(x,t) = 0.1cos(2pi/5(x - 10t) Find: a) amplitude = 0.1 m b) wavelength = 0.4 m c) angular frequency = 4 rad/s d)...
  42. B

    Same string, different mass per unit length, whats the wavelength?

    [SOLVED] Same string, different mass per unit length, what's the wavelength? *oddly I can't edit the original title? Homework Statement A string is made of two materials of different mass per unit length. On the left side of the string, the mpu is given as well as its wavelength. On the...
  43. S

    Electromagnetism Problem, electric charge per unit volume.

    Homework Statement The atmostspheric electric fields at heights of 100m and 1000m above the surface of the eartg are 110 v/m and 25 v/m respectively and are directed downwards. Evaluate the averge electric charge per unit volume in the atmostsphere between these heights. Express your result...
  44. R

    Electric Field for infinite sheet of uniform charge per unit area

    OK. In my book it says that for "any point" the Electric Field Magnitude for a Infinite sheet of charge with uniform charge per unit area is \frac{\sigma}{2\epsilon_{0}} , and for a wire of infinite length the Electric Field Magnitude is E = \frac{\lambda}{2\pi\epsilon_{0}r} where r is the...
  45. E

    Mass per Unit Length of Violin Strings

    [SOLVED] Mass per Unit Length of Violin Strings Homework Statement Each string on a violin is tuned to a frequency 1.5 times that of its neighbor. If all the strings are to be placed under the same tension, what must be the mass per unit length of each string relative to that of the lowest...
  46. X

    Bariometric formula in Statistical Physics (particle density per unit volume)

    Hi there. In my homework, I had to calculate the variation of the pressure with the altitude for a classical gas. I know that I should calculate the density of particles per volume element. I found this pdf on the net (http://cannoli.mps.ohio-state.edu/phy847/phy847-p2.pdf) . If you see...
  47. Amith2006

    Heat loss per unit area per hour

    Sir, A man covers his body with a blanket of thickness 4 mm. His temperature is 37 degree Celsius and that of the atmosphere is 27 degree Celsius. If the coefficient of thermal conductivity of wool is 1.2 x 10^(-5) W/m.K , what is the heat lost per hour per square meter area? I solved it...
  48. K

    Entropy per unit mass question (ds)

    I'm attempting to answer these thermodynamic quesions about entropy. It's been years since my last thermo course so knowledge is cloudy. If I'm incorrect or missiong relevant answers, please help. a. If ds = 0, what can you say about the process? b. If ds < 0, what can you say about the...
  49. P

    Instantaneous Decay rate per unit Volume

    'A radioactive element has a 0.5 probability of decaying to a more stable element after a particular time-span T. What is the instantaneous decay rate per unit volume? In other words determine a general expression for the number of decay events occurring per unit volume between t=t1 and t=t2...
  50. P

    Determine the power per unit area arriving at the Earth

    a) Find the total power radiated into space by the Sun, assuming it to be a perfect emitter at T = 5690 K. The Sun's radius is 7.0 108 m. (b) From this, determine the power per unit area arriving at the Earth, 1.5 X 10^11 m away. the formula for radiation is Power = (emittance...
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