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  2. Total Revenue as a function of Quantity - Math Forums

    mathforums.com/t/total-revenue-as-a-function-of-quantity.34532

    The total revenue curve is shown in Figure 2.6. From Figure 2.6 the total revenue is zero when Q = 0 and Q = 50. By symmetry, the parabola reaches its maximum halfway between 0 and 50, that is at Q = 25. The corresponding total revenue is given by TR = 100(25) − 2(25)² = 1250 Practice Problem 1 Given the demand function P =

  3. Difference between parabola & hyperbola --simple definition

    mathforums.com/t/difference-between-parabola-hyperbola-simple-definition.338629

    quite simple ---a steep side U SHAPED CURVE appeared!! A parabola ----to my riflesmith /hunter /archer 67 yr old mind is a ARC or gentle curve---that is a bullet or cannon ball ---affected by gravity so the gentle curve --becomes a sudden down turn into the earth --BANG ! Why does a PHD math professor whom I asked to clarify this anomaly /

  4. Calculus:Chain Rule - Marginal Revenue Product | Math Forums

    mathforums.com/t/calculus-chain-rule-marginal-revenue-product.17397

    The total revenue R in dollars is R=1029q / (336672+4q)^1/2 (c) The marginal-revenue product is defined as the rate of change of revenue with respect to the number of employees. Therefore, marginal-revenue product=dR/dm If q and R are given as above then, when m= 15, the marginal-revenue product is _____ ? dollars/(one worker). This means that ...

  5. Length and Curvature of Curve - Math Forums

    mathforums.com/t/length-and-curvature-of-curve.22564

    Hi all, Im just doing some vectors work but having trouble with this one. Find the intrinsic equation of the curve, the circle r=a, is defined by. r=acosti+asintj for 0

  6. revenue word problem - Math Forums

    mathforums.com/t/revenue-word-problem.357382

    hi I solved this question A cable television firm presently serves 8000 households and charges 50 dollars per month. A marketing survey indicates that each decrease of 5 dollars in the monthly charge will result in 1000 new customers. Let R(x) denote the total monthly revenue when the monthly...

  7. Length of intersection between two surfaces | Math Forums

    mathforums.com/t/length-of-intersection-between-two-surfaces.38221

    How do you find the total length of intersection between two planes. For example, in my textbook there is a question :Describe the intersection of the sphere x^2+y^2+z^2=1 and the elliptic cylinder x^2+2z^2=1. Find the total length of this intersection curve. Can anyone please tell me how to...

  8. How to parameterize this curve? - Math Forums

    mathforums.com/t/how-to-parameterize-this-curve.340208

    A wire has the shape of the curve obtained as the intersection of the portion of the sphere x² + y²+ z² = 4, y ≥ 0, with the plane x + z = 2. Knowing that the density at each point of the wire is given by f (x, y, z) = xy, calculate the total mass of the wire.

  9. Need help with profit margin calc | Math Forums

    mathforums.com/t/need-help-with-profit-margin-calc.24865

    I've got a brain freeze on this one can anybody help me out? You are working on a project with a contract value of $325,000 and an estimated gross margin of $50,000. You estimate the work to be 67% physically complete and you have incurred $167,750 of cost-to date. Assuming that your...

  10. Given the demand equation... - Math Forums

    mathforums.com/t/given-the-demand-equation.25247

    Hence, when the price is raised, the total revenue falls, and vice versa. So, we find when p = 25, a price cut will increase revenue. We can also analyze revenue to find this out. If we differentiate revenue with respect to price and equate to zero, we find: \frac{dR}{dp}=1000-50p=50(20-p)=0

  11. Modelling the trajectory of a badminton shuttle under air...

    mathforums.com/t/modelling-the-trajectory-of-a-badminton-shuttle-under-air...

    A key aspect of drag is that it depends on velocity (do a little research on drag force calculations). With something large and fast like a shuttlecock, we typically assume that the total drag (i.e., the total acceleration) should be roughly proportional to the total velocity squared (V^2(t)=V_x^2(t)+V_y^2(t)). But that's not always the case.