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KJ4UTS

  • one year ago

The monthly cost C of producing x widgets (in dollars) is modeled by the function shown below. C(x) =2500 + 4.8x + 0.002x^2 In this model 2500 represents fixed monthly costs and 4.8 is the individual cost of each unit being produced. The term 0.002x^2 represents additional costs that are significant only when the production level x is large. Such costs might include additional machinery, time-and-a-half pay, etc. If the maximum monthly cost the company can sustain is $10,500, determine the maximum production level. Round your answer down to the next whole number.

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  1. KJ4UTS
    • one year ago
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    @Nnesha

  2. KJ4UTS
    • one year ago
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    Do I just plug in the $10,500 into the formula C(x) =2500 + 4.8(10,500) + 0.002(10,500) ^2?

  3. KJ4UTS
    • one year ago
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  4. Nnesha
    • one year ago
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    C= cost x= widgets so you should substitute C for $10,500 solve for x

  5. KJ4UTS
    • one year ago
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    So like this then 10,500 =2500 + 4.8x + 0.002x^2

  6. KJ4UTS
    • one year ago
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    10,500 =2500 + 4.8x + 0.002x^2 I always get stuck here: 8,000=4.8x+0.002x^2

  7. Nnesha
    • one year ago
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    you can use the quadratic formula to solve for x

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