The pear company sells pphones. The cost to manufacture x pPhones is C(x)= -21x^2+52000x+21087 dollars (this includes overhead costs and production costs for each pphones). If the company sells x pphones for the maximum price they can fetch, the revenue function will be R(x)= -27x2+19600x dollars. How many pphones should the pear company produce and sell to maximize profit?

2,700 phones should the pear company produce and sell to maximize profit.

Step-by-step explanation:

The cost to manufacture x phones :

The revenue function will be :

The profit = P(x) = R(x) - C(x)

Differentiating P(x) with respect to dx;

x = 2,700

Differentiating with respect to dx again;

(maxima)

2,700 phones should the pear company produce and sell to maximize profit.

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