KJ4UTS
  • KJ4UTS
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
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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KJ4UTS
  • KJ4UTS
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
katieb
  • katieb
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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