The revenue function r(x) and the cost function c(x) for a particular product are given. these functions are valid only for the specified range of values. find the number of units that must be produced to break even. r(x) = 200x-x²; c(x) = 65x+2750; 0 ≤ x ≤ 100

The number of units that must be produced to break even is 25.

Step-by-step explanation:

Given : The revenue function R(x) and the cost function C(x) for a particular product are given. These functions are valid only for the specified range of values. ; ;

To find : The number of units that must be produced to break even ?

Solution :

We know that,

At break even the cost price and revenue became equal.

So,

Substitute the values,

Applying middle term split,

Either x=110 or x=25

Since,

The value of x is 25.

Therefore, the number of units that must be produced to break even is 25.

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step-by-step explanation: