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Manufacturing Cost as a Linear Function










































In manufacturing a component for a machine:

- the initial cost is RM 1,500
- the total of all other additional costs is RM 5.60 per unit produced.

Express the total cost C (in RM) as a linear function of the number q of units produced.

Comments for Manufacturing Cost as a Linear Function

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Jul 25, 2012
Manufacturing Cost as a Linear Function
by: Staff

The answer:

As you know, every linear function can be expressed in the slope intercept form.

f(x) = mx + b

m = slope

b = y intercept


Your cost function can be represented like this:

q = number of units produced

C(q) = (all other additional costs is RM 5.60 per unit produced)*(number of units produced) + initial cost

C(q) = (RM 5.60)*(q) + RM 1,500

C(q) = 5.6q + 1,500

>>> The final answer is: C(q) = 5.6q + 1,500

You can now compute a table of values if you wish.

q,         C(q) = 5.6q + 1,500

  1000,     = 5.6*1000 + 1500
  2000,     = 5.6*2000 + 1500
  3000,     = 5.6*3000 + 1500
  4000,     = 5.6*4000 + 1500
  5000,     = 5.6*5000 + 1500
  6000,     = 5.6*6000 + 1500
  7000,     = 5.6*7000 + 1500
  8000,     = 5.6*8000 + 1500
  9000,     = 5.6*9000 + 1500
10000,     = 5.6*10000 + 1500

Units,     Cost

  1000,       7100
  2000,     12700
  3000,     18300
  4000,     23900
  5000,     29500
  6000,     35100
  7000,     40700
  8000,     46300
  9000,     51900
10000,     57500





Thanks for writing.

Staff
www.solving-math-problems.com



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