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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.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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@Nnesha
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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?
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Nnesha
  • Nnesha
C= cost x= widgets so you should substitute C for $10,500 solve for x
KJ4UTS
  • KJ4UTS
So like this then 10,500 =2500 + 4.8x + 0.002x^2
KJ4UTS
  • KJ4UTS
10,500 =2500 + 4.8x + 0.002x^2 I always get stuck here: 8,000=4.8x+0.002x^2
Nnesha
  • Nnesha
you can use the quadratic formula to solve for x

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