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Assume that the situation can be expressed as a linear cost function. Find the cost function.Fixed cost is $100; 30 items cost $1000 to produce.The linear cost function is C(x)=___

User Shijo
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Given that C(x) is a linear function, it can be expressed as:


C(x)=a+bx,

where a, and b are constants.

Now, we are given that there is a fixed cost of 100, therefore, a=100. Now, we know that


C(30)=1000.

Therefore:


1000=100+b(30).

Solving the above equation for b, we get:


\begin{gathered} 1000-100=30b, \\ 900=30b, \\ b=(900)/(30), \\ b=30. \end{gathered}

Answer:


C(x)=100+30x.

User Dinesh Singh
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