Question

The cost in dollars of making x items is given by the function C(x)=10x+700 . a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. Fixed cost =$ Number b. What is the cost of making 25 items? C(25)=$ Number c. Suppose the maximum cost allowed is $1700 . What are the domain and range of the cost function, C(x) ? When you enter a number in your answer, do not enter any commas in that number. In other words if you want to enter one thousand, then type in 1000 and not 1,000. It's not possible to understand what the interval (1,000,2,000) means, so you should write that as (1000,2000). Domain: Range:

Answer 1

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

$\begin{gathered} C(x)=10x+700 \\ C(x)=10\times25+700 \\ C(x)=250+700 \\ =950 \end{gathered}$

(c) maximum cost allowed is $ 1700,

$\begin{gathered} 1700=10x+700 \\ 10x=1000 \\ x=100 \end{gathered}$

so the domain is [0,100] and range is [700,1700].