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 produced. The cost of producing umbrellas is modeled by the function C (x) =2.83x+1,350. identify and interpret the initial value.
In the given function, C(x) represents the total cost of producing x number of umbrellas.
The initial value in this context refers to the fixed cost that the factory has to pay regardless of how many umbrellas they produce. In this case, the initial value is $1,350. This means that the factory has to pay $1,350 even if they do not produce any umbrellas.
Interpreting the initial value, we can say that the fixed cost of operating the factory, which includes expenses like rent, utilities, and salaries, amounts to $1,350. This cost is incurred irrespective of the number of umbrellas produced, making it a constant expense for the factory.