Answer:
The number of units that must be produced and sold to maximize the profit is 30 units

The maximum profit is;

Step-by-step explanation:
Given that the profit P(x) obtained by manufacturing and selling x units of a certain product is given by;

The maximum point is at;

Differentiating P(x);

The number of units that must be produced and sold to maximize the profit is 30 units
Substituting x into p(x);

The maximum profit is;
