The profit to the company will be maximum that means pear company should produce 11000 phones for the maximum profit.
What is a quadratic equation?
A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Function representing the cost to the manufacturer is,
C(x) = -20x²+ 48000x + 19351
A function that represents the revenue generated is,
R(x) = -23x² + 114000x
Function representing profit to the company,
Profit = Revenue generated - Cost price
= -23x² + 114000x - ( -20x²+ 48000x + 19351)
= -23x² + 20x² + 114000x - 48000x - 19351
P(x) = -3x² + 66000x - 19351
Since this function is a quadratic function, the maximum price generated would be x = -b/2a
From the given quadratic function, a = (-3), b = 66000 and c = -19351
x = - 66000/ 2(-3)
x = -66000/-6
x = 11000
x = 11000 the profit to the company will be maximum.
That means pear company should produce 11000 phones for the maximum profit.
Learn more about quadratic equations;
brainly.com/question/13197897
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