Question

suppose jacob starts a company in which he incurs a fixed cost of $2,050 per month for the overhead, which includes his office rent. his production costs are $36.50 per item. write a linear function c where c(x) is the cost for x items produced in a given month.
c(x) = \boxed{}

Explanation:

Step1: Identify fixed and variable costs

Fixed cost is $2050, variable cost per item is $36.50. For \( x \) items, variable cost is \( 36.50x \).

Step2: Form linear function

Total cost \( C(x) \) is fixed cost plus variable cost: \( C(x)=36.50x + 2050 \).

Answer:

\( 36.50x + 2050 \) (or \( 36.5x + 2050 \))