F(x) = 4x³ + 3x - 2
Since there no constraint whatsoever, the domain of f(x) is all x∈ R
Or x| x= ( -∞≤ x ≤ +∞)
Answer:
185 units
Step-by-step explanation:
Given,
The revenue function is,

Cost function,
,
Where,
x = number of units produced.
Thus, profit = revenue - cost

Differentiating with respect to x,

Again differentiating with respect to x,

For maxima or minima,
P'(x) = 0,



For x = 185,
P''(x) = negative,
Hence, for maximising the profit 185 units must be produced.
Im really not sure how to answer this stuff