QuestionQuestion

1. A person has a garden that has a length 10 feet longer than the width. Set up a quadratic equation to find the dimensions of the garden if its area is 119 ft². Solve the quadratic equation to find the length and width.
2. Suppose that an equation is given p = -2x² + 280x - 1000, where X represents the number of items sold at an auction and p is the profit made by the business that ran the auction. How many items sold would make this profit a maximum?
3. The cost function for a certain company is C = 60x + 300 and the revenue is given by R = 100x - 0.5x². Recall that profit is revenue minus cost. Set up a quadratic equation and find two values of X (production level) that will create a profit of $300.
4. A vacant lot is being converted into a community garden. The garden and the walkway around its perimeter have an area of 378 ft². Find the width of the walkway if the garden is 12 ft. wide by 15 ft. long.

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