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Find the optimal production in the given case

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You have been hired as a consultant for XYZ production company which produces exercise equipment. XYZ has provided you with the following cost and revenue information.

Total Cost= 10,000+400Q+ 0.0025Q^2

Total Revenue= 700Q

Current production totals 55,000. Your task is to find the profit-maximizing level of output for this firm and make a recommendation to increase, decrease or leave production unchanged. Explain why you are making your specific recommendation to the company.

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Solution Summary

Solution provides the methodology to determine the optimal output. It also checks if the current production level is optimal.

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The total cost is given by
TC=10000+400Q+0.0025Q2
Marginal Cost=MC=dTC/dQ=400+0.005Q
Total Revenue is given ...

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  • BEng (Hons) , Birla Institute of Technology and Science, India
  • MSc (Hons) , Birla Institute of Technology and Science, India
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