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) = 200 x -x squared; C(x) = 40x + 3375; 0 less than or equal to x less than or equal to 100

The manufacturer must produce ___ units to break even.

The  manufacturer should produce 25 units to break even

Step-by-step explanation:

Revenue and Cost Function

The revenue function R(x) is given as

And the cost function is

Both valid in the range

We need to find the number of units that must be produced to break even, which means that the cost and revenue are the same:

Rearranging

Solving for x

Both values are valid, but only x=25 lies in the determined range for x, thus the only solution is

x=25

21

step-by-step explanation:

22.83 repeating

step-by-step explanation:

137 ÷ 6 is 22.8333333 therefore we understand that 3 is repeating.

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