The cost in dollars of making x
items is given by the function C(x)=10x+900
.

a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item.

Fixed cost =$

b. What is the cost of making 25
items?

C(25)=$

c. Suppose the maximum cost allowed is $1900
. 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).

Question

30-05-2022
Mathematics

contestada

The cost in dollars of making x
items is given by the function C(x)=10x+900
.

a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item.

Fixed cost =$

b. What is the cost of making 25
items?

C(25)=$

c. Suppose the maximum cost allowed is $1900
. 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).

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shivishivangi1679 shivishivangi1679 · Answer 1 · 2022-06-01T12:55:25+02:00

The cost in dollars of making x items is given by the function C(x) = 10x + 900. The fixed cost is 900 dollars. C(25 ) = $1150. The Range is 250.

What is a function?

The function is a type of relation, or rule, that maps one input to specific single output.

The cost in dollars of making x items is given by the function

C(x) = 10x + 900

a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item.

The fixed cost

C(0) = 10(0) + 900

= 0 + 900

= $900

b. What is the cost of making 25 items?

C(25) = 10(25) + 900

= 250 + 900

= $1150

Therefore, C(25 ) = $1150

c. Suppose the maximum cost allowed is $1900. What are the domain and range of the cost function, C(x)?

The domain is the set of values for which the given function is defined.

Range = Maximum value of the data set - Minimum value of the dataset

Range = C(25 ) - C(0)

= 1150 - 900

= 250

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