Given: The cost in dollars of making x items is given by the function C(x)=10x+700
Find: (a) The fixed cost is determined when zero items are produced.
(b) the cost of making 25 items.
(c) when maximus cost allowed $1700. the domain and range of the cost function, C(x) ?
Explanation: (a) when zero items are produced
C(x)=10x+700
put x=0
C(x)=700
(b) the cost of making 25 items are
[tex]\begin{gathered} C(x)=10x+700 \\ C(x)=10\times25+700 \\ C(x)=250+700 \\ =950 \end{gathered}[/tex]
(c) maximum cost allowed is $ 1700,
[tex]\begin{gathered} 1700=10x+700 \\ 10x=1000 \\ x=100 \end{gathered}[/tex]
so the domain is [0,100] and range is [700,1700].