Total profit from marginal profit. Stevens Bakery

Ответ:

eternity88091

20.01.2022

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 C'(x) = - 0.12 x + 40 , where x is the number of wedding cakes produced

From the given information:

C'(x) = - 0.12 x + 40

Integrate both sides we get,

$\int C'(x) dx = \int (-0.12x+40)dx$ $\int x^n dx = \frac{x^{n+1}}{n+1}+C$

$C(x) = -0.12 \times \frac{x^{2}}{2}+40x$

C(x) = -0.06x^2+40x ...... (1)

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

C(50) = -0.06 (50)^2 +40(50) = 150+2000

=2,150 dollars

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

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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.

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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.

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Answers on questions: Mathematics

Ask an AI advisor a question

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.