Let
represent the number of first babies produced and
represent the number of real babies produced.
In one hour, the company can produce
First Babies or
Real Babies.
Profit per doll of
is
.
Profit per doll of
is
.
At least twice as many First Babies must be produced, so
.
Time taken to produce one first baby is
hr.
Time taken to produce one real baby is
hr.
The company spends no more than
hours per week making these
dolls.
.
\
Graph the functions
and
on the same graph.
(1).Draw the coordinate plane.
\(2).Graph the functions.
\Graph :
\
Observe the graph :The vertices of the intersections are
and
.
The shaded represents the time spend by the company to manfacture the dolls.
\Because
is greatest at
they need to produce
My Real Babies and
My First Babies.
\
Graph :
\
To maxmize the profit the company must procuce
My Real Babies and
My First Babies.