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Need help with the following word problem:

You are going to sell oranges by the box full. The first supplier will sell you a box of 20 oranges for \$16 a package, but there is an additional charge of \$300.00 per month to purchase oranges from the company.

1. Find and show you how you found the formula for C(N), which is what it costs your group for oranges, in which n is the # of boxes of oranges.

For this problem, I came up with the formula: C(N) = (\$16.00 N)+ \$300 Am I on the right track?

2. Determine P(p), which models your profit if you buy your oranges from this company. Do not forget to rewrite your cost function in terms of your selling price, p.

3. What kind of function is P.

4. When you charge this price, how many boxes are sold?

5. Find the maximum profit.

I need the solutions and steps to derive the solutions to these five questions.

I sort of know how to get the answers, but I just want to make sure my conclusions are valid. All help is appreciated.

You are going to sell oranges by the box full. The first supplier will sell you a box of 20 oranges for \$16 a package, but there is an additional charge of \$300.00 per month to purchase oranges from the company.

1. Find and show you how you found the formula for C(N), which is what it costs your group for oranges, in which n is the # of boxes of oranges.

For this problem, I came up with the formula: C(N) = (\$16.00 N)+ \$300 Am I on the right track?

2. Determine P(p), which models your profit if you buy your oranges from this company. Do not forget to rewrite your cost function in terms of your selling price, p.

3. What kind of function is P.

4. When you charge this price, how many boxes are sold?

5. Find the maximum profit.

I need the solutions and steps to derive the solutions to these five questions.

I sort of know how to get the answers, but I just want to make sure my conclusions are valid. All help is appreciated.

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