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

Read more about profit functions at:

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8 apples are left.

step-by-step explanation:

10-2=8

10 apples

take 2

now u have 8

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).