math Please help me with part b

The average cost per item, C, in dollars, of manufacturing a quantity q of cell phones is given by
C= (a/q) + b
where a and b are positive constants
a.Find the rate of change of C as q increases. What are its units?
b. Currently, 5000 phones are being made and production is increasing at a rate of 100 cell phones per week. How fast is the average cost changing if a = 200000? Is the average cost increasing or decreasing

for a i got C(q)= (a/q) + b
C'(q)= -(a/q^2) DOLLARS PER CELL PHONE.

for b) i started off as
dC/dt =-a/q^2 dq/dt =
(-200000/q^2).100
IM LOST AND NOT SURE WHAT TO DO PLEASE HELP ME

  1. 👍
  2. 👎
  3. 👁
  1. also can you please tell me if A is right? thank u

    1. 👍
    2. 👎
  2. a, No.

    YOu want dC/dq (which is cost/unit)

    dC/dq=-a/q^2

    b) dC/dt=-a/q^2 dq/dt
    dC/dt=-2E5/25E6 *1E2=-20 dollars /week

    1. 👍
    2. 👎
    👤
    bobpursley

Respond to this Question

First Name

Your Response

Similar Questions

  1. economics

    a firm is planning to manufacture a new product. the sales department estimates the quanity that can be sold depends on the selling price. as the selling price is increased, the quantity that can be sold decreases. they estimate:

  2. Math

    As cell phones proliferate, the number of pay phones continues to drop. The number of pay phones from 2004 through 2009 (in millions) are shown below (x=0 corresponds to 2004) : year,x : 0, 1, 2, 3, 4, 5 Number of pay phones:

  3. Calculus

    The number N of US cellular phone subscribers (in millions) is shown in the table. (Midyear estimates are given.) t 1996 1998 2000 2002 2004 2006 N 44 69 109 141 182 233 (a) Find the average rate of cell phone growth between the

  4. math

    A piano manufacturer has a daily fixed cost of $1200 and a marginal cost of $1500 per piano. Find the cost C(x) of manufacturing x pianos in onde day. Use your function to answer the following questions: a)On a given day, what is

  1. math/economics in calculus

    The average cost of manufacturing a quantity q of a good, is defined to be a(q) = C(q)/q. The average cost per item to produce q items is given by a(q) = 0.01q2 − 0.6q + 13, for q >0. I know that the total cost is

  2. Nouns

    In the United States, cell phones are a very popular item. The nouns in this phrase would be "United States" and "cell phones" but would "item" be considered a noun also??

  3. precal

    A cell phone company’s profit is modeled by the function p(x) = 10x − x2 − 1, where p is expressed in thousands of dollars and x is the number of phones sold in hundreds. How many phones must the company sell to make a

  4. Economics

    10. An industry currently has 100 firms, all of which have fixed cost of $16 and average variable cost as follows: Quantity / Average variable cost: (1/$1),(2,$2), (3,$3), (4,$4), (5,$5), and (6,$6) b. The price is currently $10.

  1. College Algebra

    Suppose that the price per unit in dollars of a cell phone production is modeled by p = $45 − 0.0125x, where x is in thousands of phones produced, and the revenue represented by thousands of dollars is R = x · p. Find the

  2. economics

    6) If average movie ticket prices rise by about 5 percent and attendance falls by about 2 percent, other things being equal, the elasticity of demand for movie tickets is about: A. 0.0 B. 0.4 C. 0.6 D. 2.5 7) When labor is the

  3. Economics

    The market for fertilizer is perfectly competitive. Firms in the market are producing output, but they are currently making economic losses. a. How does the price of fertilizer compare to the average total cost, the average

  4. math

    Suppose the total cost function for manufacturing a certain product C(x) is given by the function below, where C (x) is measured in dollars and x represents the number of units produced. Find the level of production that will

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