Question
Asked Mar 18, 2020
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You are selling fidget spinners for $32 each. If it costs you C(x)=9+x^4 dollars to produce x fidget spinners, is it possible to make more than $40 in profit? Is it possible to have a loss of more than $10,000,000,000?

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Expert Answer

Step 1

We are selling fidget spinners for $32 each. 

We are C(x)=9+x^4 dollars to produce x fidget spinners.

We need to check whether it is possible to get more than $40 in profit. 

Summary:

              selling price = 36x

      production price = 9 + x4 

Profit = selling price - production price 

          = 36x - (9 + x4)

 

 

Step 2

Profit will happen when profit > 0.

Here we need to check whether it is possible to get more than $40 in profit. 

In other words,

                           Calculus homework question answer, step 2, image 1 .

Graphically we can see that,

Calculus homework question answer, step 2, image 2

At x=2, profit = 47 > 40. Thus, it is possible to get more than $40 in profit. 

 

...

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