Question

1. A company determines that the profit from selling x units of an item is given by ?(x) = 0.0003x² + 5x. Find the marginal profit for 40 units sold and interpret its meaning in the context of the problem. 2. A small business has 200 scooters to rent If x scooter are rented, the monthly profit is ?(x) = ?5x² + 1800x ? 60000. How many scooters need to be rented to maximize profit? 3. A company sells 1500 items per month at a price of $15 each. It is predicted that the monthly sales will increase by 125 items for each $0.30 reduction in price. Find the demand function. How much units much they sells to maximize revenue? What is the maximum revenue? 4. If the cost function is C(q) = 3q² + 5q + 12, what is the minimum average cost?

          1. A company determines that the profit from selling x units of an item is given by ?(x) = 0.0003x² + 5x. Find the marginal profit for 40 units sold and interpret its meaning in the context of the problem.

2. A small business has 200 scooters to rent If x scooter are rented, the monthly profit is ?(x) = ?5x² + 1800x ? 60000. How many scooters need to be rented to maximize profit?

3. A company sells 1500 items per month at a price of $15 each. It is predicted that the monthly sales will increase by 125 items for each $0.30 reduction in price. Find the demand function. How much units much they sells to maximize revenue? What is the maximum revenue?

4. If the cost function is C(q) = 3q² + 5q + 12, what is the minimum average cost?

1. A company determines that the profit from selling x units of an item is given by ?(x) = 0.0003x² + 5x. Find the marginal profit for 40 units sold and interpret its meaning in the context of the problem.

2. A small business has 200 scooters to rent If x scooter are rented, the monthly profit is ?(x) = ?5x² + 1800x ? 60000. How many scooters need to be rented to maximize profit?

3. A company sells 1500 items per month at a price of 15 each. It is predicted that the monthly sales will increase by 125 items for each0.30 reduction in price. Find the demand function. How much units much they sells to maximize revenue? What is the maximum revenue?

4. If the cost function is C(q) = 3q² + 5q + 12, what is the minimum average cost?

Added by Hayden C.

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