Question

The cost in dollars of making x items is given by the function C(x)=10x+800. 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 $2300. 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: Preview Range: Preview

Answer 1

Answer:

a). Fixed cost = $800

b). The cost for 25 items is $1050

c).Range = 150

Domain g(x) = 150

Step-by-step explanation:

The cost in dollars of making x item is given by the function C(x)=10x+800.

The fixed cost is when x= 0

Fixed cost

C(0)= 10(0) +800

C(0) = 0+800

C(0)= 800

Fixed cost = $800

The cost for 25 items

C(25) = 10(25)+800

C(25) = 250+800

C(25) = 1050

The cost for 25 items is $1050

If Maximum cost=$2300

C(x)=10(x) +800= 2300

Range of x

10(x) = 2300-800

10(x) = 1500

X= 1500/10

X= 150

Range = 150

Domain g(x) = 150