Doubling Production Page 2 of 2 5) Plot th producing exponential equation, or ne

Question

Doubling Production Page 2 of 2 5) Plot th producing exponential equation, or neither? Explain your reasoning? e scatter plot of the equation and the line that represents the cost of x thousand Bouncy Balls. Is this a logarithmic equation, an 6) Use the equation to determine y intercept for the cost function and interpret its meaning. Is it possible to estimate the fixed cost of production? If so, give an estimate. Give an appropriate domain and range for the cost function. When does the cost model become ineffective? 7) a) What is an appropriate domain? b) What is an appropriate range? Use the model to determine how many Bouncy Balls can be produced at a cost of $10,000. 8) According to your model, how much would it cost to produce 120,000 Bouncy Balls? 9)

Explanation / Answer

We need the equations in part 1 to 4 to be able to do this.

But lemme just expalin it.

First off, i am sure the equation C(x) will be given where x is the number of thousands of balls produced.

So, plugging in x = 1 will mean we get the cost of producing 1000 balls,
x = 2 means 2000 balls etc.

Now, clearly, in the beginning production will be costly.
But as we produce more and more, it will taper off.

So, definitely a LOG EQUATION

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6)
To find y-int,
plug x = 0 and solve for y

That will give us the fixed cost.

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7)
Domain :
Clearly the number of bouncy ballx can never be negative

So, x >= 0

And also, lets say the y-int was 'c'.

So, range would be :
y >= c

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8)
We need the model to be able to do this.

Plug in y = 10000
and we get the ans

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9)
Remember the production is already in x thousand balls

So, plug in x= 120
and find y

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