The initial value in this context refers to the fixed cost that the factory must pay regardless of the number of umbrellas produced.
In the given function C(x) = 2.83x + 1,350, the initial value is 1,350.
Interpreting this, it means that even if the factory does not produce any umbrellas (x = 0), they still have to pay $1,350 as their fixed cost. This could include expenses such as rent, utility bills, salaries, etc., that are incurred regardless of production.
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.
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