math

posted by .

Help I can go this far and then lost.
In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000to produce and the 300 items will cost $22,000 to produce. Find the equation that relates C and x
Cost = K1 * n + K2
n= 100
n = 300
from here I'm lost

Well, you know the cost for each of those n.

10000=k1*100 + k2
22000=k1(300)+k2

solve for the constants.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math,correction

    The problem states: In planning for a new item, a manufacturer assumes that the number of items produced X and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost …
  2. Business

    In planning a new item, a manufactuer assumes that the number of items produced x and the cost of dollars C of producing these items are related by a linear equation, Projections are that 100 items will cost $22,000 to produce. Find …
  3. Phoenix

    In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce …
  4. math

    * I posted this before, but I left out the equation, sorry. A company estimates that the marginal cost (in dollars per item) of producing x items is 2.08x-0.002x. If the cost of producing one item is $531 find the cost of producing …
  5. Algebra

    In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost $10,000 to produce …
  6. algebra

    The cost of producing a number of items x is given by C = mx + b, in which b is the fixed cost and m is the variable cost (the cost of producing one more item). (a) If the fixed cost is $40 and the variable cost is $10, write the cost …
  7. Algebra I

    In planning for a new item, a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 itmes will cost $10,000 to produce …
  8. Math - average rate problems(check + help)

    The total cost, c, in dollars of operating a factory that produces kitchen utensils is C(x)=0.5x^2+40x+8000, where x is the number of items produced in thousands. a)Determine the marginal cost of producing 5000itmes and compare this …
  9. math

    A manufacturer of lapel buttons test marketed a new item at a university. It was found that 1,000 items could be sold if they were priced at $4, but only 600 items could be sold if the price were raised to $8. On the other hand, the …
  10. MATH

    The cost to manufacture a product is proportional to the quantity produced, with a cost of $270000 dollars per day when 900 items are produced. The cost to store n items is proportional to the square of n, with a daily storage cost …

More Similar Questions