Assume that the situation can be expressed as a linear cost function. find the cost function in this case. marginal cost: $40; 180 items cost $9500 to produce. the linear cost function is c(x) =

The linear cost function is

Step-by-step explanation:

A linear cost function expresses cost as linear function of the number of items

Here, C(x) is the total cost, and x is the number of items. The slope m is called the marginal cost and b is called the fixed cost.

From the information given we know

m = $40 and C(180) = $9500

We can find the value of b in this way

solving for b

The linear cost function is