A company manufactures and sells x VCRs per month. If the cost and revenue equations are C(x) = 400 + 4x, R(x) = 30x − x 2 40 , use differentials to estimate the change, ∆P, in profit when the production is increased from 120 to 122.

Profit is the difference between revenue and cost.

The profit reduces by #40, when production increases from 120 to 122

The given parameters are:

The profit function is:

So, we have:

Differentiate

Where:

So, we have:

So, the profit reduces by #40, when production increases from 120 to 122

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6 meters

step-by-step explanation:

the circumference is c≈245.04