Total profit from marginal profit. Stevens Bakery has found that its marginal profit, in dollars per wedding cake, is

C'(x) - 0.12x + 40,

where x is the number of wedding cakes produced. Find the total profit from producing 50 wedding cakes.

The total profit from producing 50 wedding cakes is 2,150 dollars

Step-by-step explanation:

Stevens Bakery has found that its marginal profit, in dollars per wedding cake, is , where x is the number of wedding cakes produced

From the given information:

C'(x) = - 0.12 x + 40

Integrate both sides we get,

                                 ...... (1)

Substitute the value of x=50 wedding cakes in equation (1) as shown below:

          =2,150 dollars

Hence, the total profit from producing 50 wedding cakes is 2,150 dollars.

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