A factory produces beach umbrellas. They have a fixed cost they must pay no matter how many umbrellas they produce, and a variable cost they must pay for each umbrella they produce. The cost of producing x umbrellas is modeled by the function C(x)=2.83x+1,350 . Identify and interpret the initial value.(1 point)

Question

A factory produces beach umbrellas. They have a fixed cost they must pay no matter how many umbrellas they produce, and a variable cost they must pay for each umbrella they produce. The cost of producing  x  umbrellas is modeled by the function  C(x)=2.83x+1,350 . Identify and interpret the initial value.(1 point)

GPT 3.5 · Accepted Answer

The initial value in this case is the fixed cost that the factory must pay regardless of how many umbrellas they produce.

In the given function, C(x) = 2.83x + 1,350, the initial value is 1,350.

Interpreting this, it means that the factory has to pay $1,350 even if they don't produce any umbrellas. This cost is fixed and not dependent on the number of umbrellas produced.