math Please help me with part b

posted by .

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

  • math Please help me with part b -

    also can you please tell me if A is right? thank u

  • math Please help me with part b -

    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

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calc

    Suppose the total cost, C(q), of producing a quantity q of a product is given by the equation C(q) = 5000 + 5q The average cost per unit quantity, A(q), equals the total cost, C(q), divided by the quantity produced, q. Find the limiting …
  2. math

    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?
  3. math

    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?
  4. math

    In a factory of electronic items, the total cost of production, expressed in thousands of dollars, is given by the function C(x)= (x^2-x+2)/x+1 where x belongs to [0;5] and expressed in hundrends of items produced. 1) calculate in …
  5. Algebra

    83. Minimizing Marginal Cost The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For example, if the marginal cost of producing the 50th product is $6.20, it cost $6.20 to increase …
  6. college algebra

    suppose the revenue in dollars from selling x cell phones is R(x)= -1.2x^2+220x. the cost in dollars of selling x cell phones is C(x)=0.05x^3-2x^2 +65x+500. find the profit function P(x)=R(x)-C(x). find the profit if x=15 hundred cell …
  7. Pre-Cal

    The total cost (in thousands of dollars) of a machine manufacturing unit is given by the function T(x) = 300 + 5x, where x is the number of machines produced. What is the average cost (in thousands of dollars) of manufacturing 200 …
  8. math

    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. (a) What is the total cost, C(q),of producing …
  9. 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 0.01q^3-0.6q^2+13q …
  10. Stats

    Suppose the number of cell phones in a household has a binomial distribution with parameters n = 17, and p = 40 %. Find the probability of a household having (Keep at least 4 digits) (a) 11 or 13 cell phones?

More Similar Questions