Assume that the total revenue received from the sale of x items is given by, R(x)equals34 ln (4 x plus 5 ), while the total cost to produce x items is C(x)equalsx divided by 2. Find the approximate number of items that should be manufactured so that profit, R(x)minusC(x), is a maximum.

63 units

Step-by-step explanation:

The profit function P(x) is given by the revenue function minus the cost function:

The number of units sold 'x' for which the derivate of the profit function is zero, is the number of units that maximizes profit:

The number of units that should be manufactured so that profit is maximum is 63 units.