The number of electric scooters e that a factory can produce per day is a function of the number of hours h it operates and is given by e(h) = 290h, 0

Jaya Legge 2021-03-05 Answered

The number of electric scooters e that a factory can produce per day is a function of the number of hours h it operates and is given by e(h)=290h,0h10.
The daily cost c to manufacture e electric scooters is given by the function c(e)=0.05e2+65e+1000.
(a) Find (ce)(h).
(b) Evaluate (ce)(13).

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Expert Answer

SkladanH
Answered 2021-03-06 Author has 80 answers

The composition of the function c(e) and e(h) is denoted by (ce)(h) is given by the formula,
(ce)(h)=c(e(h))
(a) Compute the composite function as,
e(h)=290h,0h10
c(e)=0.05e2+65e+1000
(ce)(h)=c(e(h))
=c(290h)
=0.05(90h)2+65(290h)+100
3920h2+18850h+1000,0h10
(b) The composite function (ce)(h) is not defined for h = 13.
Hence, the function (ce)(13) cannot be evaluated.

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