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2 years ago

Which describes the relationship between the number of tickets sold and the profit?

Mathematics

1 answer:

bulgar [2K]2 years ago

7 0

Each ticket sold yields 9$ of profit

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Expand (x – 4)^5 using the Binomial Theorem and Pascal’s triangle

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1 year ago

Maggie's brother is 3 years younger than twice her age. The sum of their ages is 12.

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2 years ago

An equation is shown.

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3 years ago

The profit in dollars generated by producing and selling n bicycles per week is given by the formula P(n)=−5n2+400n−6000. What i

Julli [10]

Answer:

The minimum number of bicycles that must be produced and sold to break even = 20

Explanation:

The profit generated by producing and selling n bicycles per week is given by the formula:

$P(n)=-5n^2+400n-6000$

To get the minimum number of bicycles that must be produced and sold to break even, let P(n) = 0 (Since break even means no profit is made)

$\begin{gathered} 0=-5n^2+400n-6000 \\ 5n^2-400n+6000=0 \end{gathered}$

Solve the resulting quadratic equation above

$\begin{gathered} 5n^2-300n-100n+6000=0 \\ 5n(n-60)-100(n-60)=0 \\ (5n-100)(n-60)=0 \\ 5n-100=0 \\ 5n=100 \\ n=\frac{100}{5} \\ n=20 \\ n-60=0 \\ n=60 \end{gathered}$

This means that, to break even, either 60 or 20 bicycles must be produced and sold

The minimum number of bicycles that must be produced and sold to break even = 20

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1 year ago