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## Quadratics word problems

- A manufacturer has been selling light bulbs for $2.00 each. People have been buying 100 light bulbs per month. The manufacturer belives that for every $1.00 increase per bulb, 4 fewer bulbs will be sold each month. It costs the manufacturer $.50 to make each light bulb. Assume the manufacturer sells every light bulb that he makes and that any whole number of light bulbs can be made.
- What price should the manufacturer sell each light bulb to make the maximum profit each month?
- How many light bulbs will maximize the manufacturer’s monthly profit?
- What is the manufacturer’s monthly profit?

- An object is moving in a straight line. It initially travels at a speed of 9 meters per second, and it speeds up at a constant rate of 2 meters per second each second. Under such conditions, the distance d, in meters, that the object travels is given by the equation d = t
^{2}+ 9t, where t is in seconds. According to this equation, how long will it take the object to travel 22 meters? - A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, X,according to the equation P = 300x – 25x
^{2}. What number of clerks will maximize the profit, and what is the maximum possible profit?

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