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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it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

answer

false

explanation

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