A company is planning to manufacture wheelchairs that are light, fast, and beautiful. The fixed monthly cost will be $500,000 and it will cost $400 to produce each radically innovative chair. C (10,000) = 50(10,000) + 600,00010,000 = 110 The average cost per headset of producing 10,000 headsets per month is $110. C (100,000) = 50(100,000) + 600,000 100,000 = 56. The average cost per headset of producing 100,000 headsets per month is $56. Notice that with higher production levels, the cost of producing each headset decreases.Solve; a. Write the cost function, C, of producing x wheelchairs. b. Write the average cost function, C*, of producing x wheelchairs. 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.
A company is planning to manufacture wheelchairs that are light, fast, and beautiful. The fixed monthly cost will be $500,000 and it will cost $400 to produce each radically innovative chair. C (10,000) = 50(10,000) + 600,000
10,000 = 110 The average cost per headset of producing 10,000 headsets per month is $110. C (100,000) = 50(100,000) + 600,000 100,000 = 56. The average cost per headset of producing 100,000 headsets per month is $56. Notice that with higher production levels, the cost of producing each headset decreases.Solve;
a. Write the cost function, C, of producing x wheelchairs.
b. Write the average cost function, C*, of producing x wheelchairs.
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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