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A music company produces a variety of electric guitars
A music company produces a variety of electric guitars. The total cost of producing xx guitars is given by the function C(x)=6800+8x−1350C(x)=6800+8x−1350 where C(x)C(x) is given in dollars. Find the average cost of producing 130130 guitars.
a) $75.60$75.60
b) $130,014,800.00$130,014,800.00
c) $26.51$26.51
d) $18.57$18.57
e) $0.20$0.20
f) None of the above.
Expert Solution
The total cost of producing xx guitars is given by the function:
C(x)=6800+8x−1350=5450+8xC(x)=6800+8x−1350=5450+8x
The average cost function is:
A(x)=C(x)x=5450+8xx=5450x+8A(x)=C(x)x=5450+8xx=5450x+8
So:
The average cost of producing 130 guitars is:
A(130)=5450130+8≈$49.923A(130)=5450130+8≈$49.923
Hence:
Option (f) is correct.
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