How Do You Write an Expression for the Cost of Running a Machine?

Good job!In summary, the cost of running a machine is represented by the expression C(x)=Mx+F, where C is the total cost, x is the number of parts machined, M is the marginal cost, and F is the fixed cost.
  • #1
mathdad
1,283
1
The cost of running a machine is partly constant and partly varies as the number of parts machined. Write an expression to show the cost?

My Reasoning:

Let C = cost

Let x = partly constant

Let y = partly varies

Let k = constant of proportionality

C = x + yk

Right?
 
Mathematics news on Phys.org
  • #2
I would have thought "partly constant and partly varies" means one part varies, and one part is constant.. Since a varying constant is.. well, a variable? I'm not sure though. The wording is strange with this one.
 
  • #3
Let's let $F$ be the fixed costs and $M$ be the marginal cost (the cost to machine one part), and $x$ be the number of parts machined. Then the total cost $C$ would be given by:

\(\displaystyle C(x)=Mx+F\)
 
  • #4
MarkFL said:
Let's let $F$ be the fixed costs and $M$ be the marginal cost (the cost to machine one part), and $x$ be the number of parts machined. Then the total cost $C$ would be given by:

\(\displaystyle C(x)=Mx+F\)

We used different variables but correct nonetheless.
 

Related to How Do You Write an Expression for the Cost of Running a Machine?

1. What is variation expression?

Variation expression refers to the observable differences or changes in the traits or characteristics of organisms within a species. It can be caused by genetic variations, environmental factors, or a combination of both.

2. How is variation expression measured?

Variation expression can be measured through various methods such as statistical analysis, observation, and experimentation. DNA sequencing, gene expression analysis, and phenotype analysis are some of the techniques used to measure variation expression.

3. Why is variation expression important?

Variation expression is important because it allows for the adaptation and evolution of species. It also plays a crucial role in natural selection, as individuals with advantageous variations are more likely to survive and reproduce.

4. What factors contribute to variation expression?

Variation expression can be influenced by genetic factors, such as mutations, gene flow, and genetic drift. Environmental factors, such as climate, diet, and exposure to toxins, can also contribute to variation expression.

5. How does variation expression impact society?

Variation expression has a significant impact on society, as it is the basis of genetic diversity, which is crucial for the survival and health of a population. Understanding variation expression can also aid in the development of medical treatments and technologies, as well as conservation efforts.

Similar threads

  • General Math
Replies
3
Views
2K
Replies
6
Views
1K
Replies
3
Views
627
  • General Math
Replies
1
Views
2K
Replies
1
Views
2K
Replies
2
Views
1K
Replies
8
Views
1K
Replies
4
Views
581
Replies
7
Views
1K
  • Precalculus Mathematics Homework Help
Replies
17
Views
319
Back
Top