SOLUTION: Assume that the mathematical model C(x) = 14x + 180 represents the cost C, in hundreds of dollars, for a certain manufacturer to produce x items. How many items x can be manufactur

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Assume that the mathematical model C(x) = 14x + 180 represents the cost C, in hundreds of dollars, for a certain manufacturer to produce x items. How many items x can be manufactur      Log On


   



Question 1110367: Assume that the mathematical model C(x) = 14x + 180 represents the cost C, in hundreds of dollars, for a certain manufacturer to produce x items. How many items x can be manufactured while keeping costs between between $410,000 and $606,000?
Found 2 solutions by stanbon, greenestamps:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Assume that the mathematical model C(x) = 14x + 180 represents the cost C, in hundreds of dollars, for a certain manufacturer to produce x items. How many items x can be manufactured while keeping costs between between $410,000 and $606,000?
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410000 < 14x+180 < 606000
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409820 < 14x < 605820
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29272.86 < x < 43272.86
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Cheers,
Stan H.
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Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Since the function gives the cost in hundreds of dollars, the limits are 4100 and 6060. So

4100+%3C=+14x%2B180+%3C=+6060
3920+%3C=+14x+%3C=+5880
280+%3C=+x+%3C=+420

The number of items that can be produced with a total cost in the given range is between 28,000 and 42,000.