\
\
The weekly cost C of producing x units in manufacturing process is
.
The number of the units x produced in t hours
.
The composition of C with x is
.
(Definition of
)
(Definition of
)
(Definition of
)
(Simplify)
The composite function
represents the amount of weekly cost as a function of the number of units produced in the amount of time in manufacturing process.
The value of
.
The composite function
represents the amount of weekly cost as a function of the number of units produced in the amount of time in manufacturing process.
The weekly cost C of producing x units in manufacturing process is
.
The number of the units x produced in t hours
.
The composition of C with x is
.
(Definition of
)
(Definition of
)
(Definition of
)
(Simplify)
The cost C of the x units produced in t hours is
.
The cost of the units produced in 4 hours is 

(Multiply:
)
(Simplify)
The cost of the units produced in 4 hours is 1950.
\The weekly cost C of producing x units in manufacturing process is
.
The number of the units x produced in t hours
.
The composition of C with x is
.
(Definition of
)
(Definition of
)
(Definition of
)
(Simplify)
The cost C of the x units produced in t hours is
.
The amount of cost
is
dollars.
The cost 15,000 dollars produced in t hours is
\
.
(Subtract 750 from each side)
(Simplify)
(Divide each side by 300)
hours (Simplify)
The cost 15,000 dollars produced in 47.5 hours.