Question

The cost in dollars of making x items is given by the function C(x) = 10x + 500. a. The fixed cost is determined when zero items are produced. Find the fixed cost for this item. b. What is the cost of making 25 items? c. Suppose the maximum cost allowed is $1500. What are the domain and range of the cost function, C(x)?

Answer 1

Answer: A) fixed cost is $500

B) Cost of making 25 items is $750

C) Domain: [0,100]

Range :[500,1500]

I got 100% on test with these answers

Answer 2

a. $500

b. $250

Explanation:

a. For zero items produced, cost will be-

`C(0) = 10(0) + 500 = 0 + 500 = 500`

b. For zero items produced, cost will be-

`C(25) = 10(25) + 500 = 250 + 500 = 750`

c. If
`C(x)_(max) = 1500`

`10x + 500 = 1500\\10x = 1000\\x = 100`

∴ domain for cost function will be
`[0,100]` and range will be 100