Calculus

Check my work? The equations given were R(x)=-x^2+400x and C(x)=x^2+40x+100. We were asked to find the maximum profit and minimum average cost. (I'm having trouble remembering how to find a minimum and maximum, so please help with that, if you can!)

For Max Profit, I got $16,100.
For Min Avg. Cost, I got $20, which feels really wrong.

Help?

  1. 👍 0
  2. 👎 0
  3. 👁 159
  1. P(x) = R(x)-C(x) = -2x^2+360x-100
    P'(x) = -4x+360
    P'=0 at x=90
    P(90)=16100
    good work

    AvgCost
    A(x) = C(x)/x = x+40+100/x
    A'(x) = 1-100/x^2
    A'=0 at x=10
    A(10) = 60

    1. 👍 0
    2. 👎 0
  2. Ohhhh. I see what I did wrong in that second one!
    Thanks for all your help!(:

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. language arts

    after which type of assessment will you be asked to set goals for yourself? A quick check B sample work C unit test D pretest

  2. How do I do this.?(Math.)

    Use the Substitution method to solve the system of equations. y - 2x = -5 3y - x = 5 Solve one of the equations for x or y. Let's solve the first one for y: y - 2x = -5 y = 2x - 5 Now let's substitute 2x - 5 for y in the second

  3. Math

    Mackenzie solved the problem 1.35×1.4. Which shows the correct work to find the product? A. ( 135 × 1 10 ) × ( 14 × 1 10 ) ( 135 × 14 ) × ( 1 10 × 1 10 ) B. ( 135 × 1 100 ) × ( 14 × 1 10 ) ( 135 × 14 ) × ( 1 100 × 1

  4. precalc

    Write the equation of the ellipse in standard form: 4x^2-9y^2-40x+36y+100=0

  1. Math

    A manufacturer estimates that the profit P from producing x units of a commodity is P=-x^2+40x-100 dollars per week. What is the maximium profit he can realize in one week? I was going to take the derivative of the equation and

  2. Algebra

    Will you please check my work? I'm supposed to "Use square roots to solve the following equations; round to the nearest hundredth, if necessary." 1. 5x^2 - 526 = -651 My Work: 5x^2 - 526 + 526 = -651 + 526 (sq root of) 5x^2 = (sq

  3. chemistry, plz check work

    NH3+H2S-->NH4HS

  4. precalculus

    can you check my work? Solve the system of equations at the right by the method of substitution. Verify your results by using a graphing utility. x^2+y^2-4x+6y-5=0, x+y+5=0 x=-y-5 (-y-5)^2+y^2-4(-y-5)^2+6y-5=0 y=√5-5, y=-5-√5

  1. Calculus

    Find the maximum revenue using the following equations: R(x)=-x^2 +400x and C(x)=x^2+40x+100. What I've done so far is use R(x) and solve for x, which got me 0 and 400. Is that how you're supposed to start it? What happens next?

  2. Calculus

    Using the equations R(x)=-x^2+400x and C(x)=x^2+40x+100, find the Maximum Revenue

  3. substitution method

    -x-4y=-14 2x=y+1 Let's look at your two equations. -x - 4y = -14 2x = y + 1 Let's solve the second equation for y: y = 2x - 1 Now let's substitute (2x - 1) for y in the first equation: -x - 4(2x - 1) = -14 -x - 8x + 4 = -14 -9x +

  4. Math/Biology

    8c) The scanning objective lens (4x) of a microscope has a diameter of field of 6.0 mm and a total magnification of 40x. The high power objective lens has a total magnification of 400x. Estimate the diameter of field of view of

You can view more similar questions or ask a new question.