# 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?

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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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,

.

Graphically we can see that,

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

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