We return to the Oculus Rift, described in the section opener, a virtual reality headset that enables users to experience video games as immersive three dimensional environments. Suppose the company that manufactures this invention has a fixed monthly cost of $600,000 and that it costs $50 to produce each headset. Solve; a. Write the cost function, C, of producing x headsets. b. Write the average cost function, C, of producing x headsets. c. Find and interpret C(1000), C(10,000), and C(100,000). d. What is the horizontal asymptote for the graph of the average cost function, C? Describe what this represents for the company.

College Algebra (MindTap Course List)
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Author:R. David Gustafson, Jeff Hughes
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We return to the Oculus Rift, described in the section opener, a virtual reality headset that enables users to experience video games as immersive three dimensional environments. Suppose the company that manufactures this invention has a fixed monthly cost of $600,000 and that it costs $50 to produce each headset. Solve;

a. Write the cost function, C, of producing x headsets.

b. Write the average cost function, C, of producing x headsets.

c. Find and interpret C(1000), C(10,000), and C(100,000).

d. What is the horizontal asymptote for the graph of the average cost function, C? Describe what this represents for the company.

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