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Homework answers / question archive / The cost function for a product is C(x)=0
The cost function for a product is C(x)=0.8x2+180x+190C(x)=0.8x2+180x+190. Find the average cost over [0,700][0,700].
Given:
C(x)=0.8x2+180x+190C(x)=0.8x2+180x+190
and 0≤x≤7000≤x≤700
Hence:
A(C(x))=0.8x2+180x+190xA(C(x))=0.8x2+180x+190x
A(C(x))=0.8x+180+190x→(1)A(C(x))=0.8x+180+190x→(1)
Put x =70 0 in eqquation (1) , we get:
A(C(700))=0.8×700+180+190700A(C(700))=0.8×700+180+190700
=740+0.2714=740+0.2714
=740.2714
