Linear programming involves finding the maximum or minimum value of a linear objective function, subject to linear constraints.
The objective function is of the form: \[ Z = ax + by, \] where \( Z \) is the value to be optimized, and \( x, y \) are variables subject to constraints. The correct answer is (B) linear function.
A carpenter needs to make a wooden cuboidal box, closed from all sides, which has a square base and fixed volume. Since he is short of the paint required to paint the box on completion, he wants the surface area to be minimum.
On the basis of the above information, answer the following questions :
Find \( \frac{dS}{dx} \).
