Math  /  Algebra

QuestionProfit function for a bracelet company is P(x)=2(x2000)P(x)=2(x-2000).
(a) Find P(1000)P(1000) and explain its meaning. (b) Solve P(x)=0P(x)=0 and explain its meaning. (c) Determine the yy-intercept of PP and explain its meaning.

Studdy Solution
Interpretation of results(a) (1000)=2000(1000) = -2000 means that if the company sells1000 bracelets, they will make a loss of $2000.
(b) (x)=0(x)=0 when x=2000x=2000 means that the company will break even (i.e., make neither a profit nor a loss) when they sell2000 bracelets.
(c) The yy-intercept of the graph of $$ is $(0) = -4000$. This means that if the company does not sell any bracelets, they will make a loss of $4000. This could be due to fixed costs that the company has to pay regardless of the number of bracelets sold.

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