Math (calculus) (mean values)

A company introduces a new product for which the number of units sold Ss given by the equation below, where t is the time in months.

s(t) = 155(7-(9/(2+t)))

a) Find he average rate of change of s(t) during the first year.
I got the answer to be 1395/28

b) During what month of the first year does s'(t) equal the average rate of change?
I checked my work and kept getting ~3, which is March, but website is still counting it wrong. Any ideas??

Any help is greatly appreciated!

  1. 👍 0
  2. 👎 0
  3. 👁 57
asked by Ray
  1. I agree with the average rate of change. So, you want

    s'(c) = 1395/28

    s'(t) = 1395/(t+2)^2

    so,

    1395/(c+2)^2 = 1395/28
    (c+2)^2 = 28
    c = √28 - 2 ≈ 3.29

    So, the desired month is later than 3, namely 4.

    1. 👍 0
    2. 👎 0
    posted by Steve
  2. So basically round up this time, wow!

    1. 👍 0
    2. 👎 0
    posted by Ray

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus

    a company introduces a new product for which the number of units sold S is S(t)=200(5-(9/2+t)) where t is the time in months. a.)find the average value of S(t) during the first year. b.) during what month does S'(t) equal the

    asked by kel on November 15, 2010
  2. Math

    A hair product company sells three types of hair products for $30, $20, and $10 per unit. In one year, the total revenue for the three products was $800,000, which corresponded to the sale of 40,000 units. The company sold half as

    asked by Julia on June 17, 2014
  3. lehman

    Hair Products A hair product company sells three types of hair products for $30, $20, and $10 per unit. In one year, the total revenue for the three products was $800,000, which corresponded to the sale of 40,000 units. The

    asked by bibi on June 13, 2014
  4. MATH

    11.) A company produces a product for which the variable cost is $12.30 per unit and the fixed costs are $98,000. The product sells for $17.98. Let x be the number of units produced and sold. a.) the total cost for a business is

    asked by Sam on September 10, 2015
  5. math

    A company's weekly profit, in riyals, is modeled by the function P(u)=-0.032u^2+46u-3000. where u is the number of units sold each week. a) the maximum weekly profit b) the loss for week's holiday period, where no units are sold

    asked by Lucas on October 22, 2013
  6. Math (calculus) (mean values)

    A company introduces a new product for which the number of units sold S is given by the equation below, where t is the time in months. s(t)=155(7-9/(2+t)) a) Find the average rate of change of s(t) during the first year. Which my

    asked by Ray on November 27, 2016
  7. math

    A company's weekly profit, in riyals, is modeled by the function P(u)=-0.032u^2+46u-3000. where u is the number of units sold each week. a) the maximum weekly profit. Answer: 13531.25 riyals b) the loss for week's holiday period,

    asked by Lucas on October 24, 2013
  8. math

    A company's weekly profit, in riyals, is modeled by the function P(u)=-0.032u^2+46u-3000. where u is the number of units sold each week. a) the maximum weekly profit. Answer: 13531.25 riyals b) the loss for week's holiday period,

    asked by Lucas on October 23, 2013
  9. Math

    The monthly profit P, in thousands of pesos of a company can be estimated by the formula P(x)= -3x^2+30x+2, where x is the number of units sold per month. Find the number of units that must be sold by the company to maximize its

    asked by Chesca on August 28, 2014
  10. Algebra

    A small software company invests $30,000 to produce a software package that will sell for $64.95. Each unit can be produced for $42.25. (Round your answers to the nearest whole number.) (a) How many units must be sold to break

    asked by ada on November 24, 2014

More Similar Questions