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tangare [24]
3 years ago
15

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)?
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0

Answer:

a. $500

b. $250

Step-by-step 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

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