Mathematics, 14.08.2020 23:01 janaehanzy0

The cost in dollars of making x items is given by the function C(x)=10x+600. (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 15 items? (c) Suppose the maximum cost allows is $1600. What are the domain and range of the cost function, C(x)? (Enter your answers using interval notation.)

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The fixed cost for the item is $600, the cost of making 15 items is $750, and the domain and range of the cost function, C(x) are (100,1600) and this can be determined by using the arithmetic operations.

Given :

The cost in dollars of making x items is given by the function (C(x) = 10x + 600)

A). Given that zero items are produced that means the value of (x = 0). Put the value of x in the given function.

C(x) = 10x + 600

C(0) = 0 + 600

C(0) = $600

So, the fixed cost for this item is $600.

B). The cost of making 15 items means that (x = 15). Put the value of x in the given function.

C(x) = 10x + 600

C(15) = 10(15) + 600

C(15) = $750

So, the cost of making 15 items is $750.

C). Given that the maximum cost allows is $1600 that means C(x) = 1600. Put the value of C(x) in the given function.

1600 = 10x + 600

1000 = 10x

100 = x

Therefore, the domain and range of the cost function, C(x) are (100,1600).

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Answer from: smithsa10630

- Fixed cost is 600

- The cost of making 15 items is 600

- The cost function is (100,1600)

Step-by-step explanation:

Given

C(x) = 10x + 600

Calculating (a) Fixed Cost

Fixed cost is when x = 0

Substitute 0 for x

C(0) = 10 * 0 + 600

C(0) = 0 + 600

C(0) = 600

Hence, the fixed cost is 600

Calculating (b) Cost of 15 items

Here, x = 15

Substitute 15 for x

C(15) = 10 * 15 + 600

C(15) = 150 + 600

C(15) = 750

Hence, the cost of making 15 items is 600

Calculating (c) Domain and Range

Here, C(x) = 1600

Substitute 1600 for C(x)

1600 = 10x + 600

Make x the subject of formula

1600 - 600 = 10x

1000 = 10x

x = 100

Hence, the cost function is (100,1600)

Answer from: Quest

Google will togoh

Answer from: Quest

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.

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