1. ## profit maximization

hello,

need help with this one, need it around 5hrs from now

Q: how much is the optimum quantity that yields the maximum profit? show your solution

Selling Price = 60
Total cost TC = 128+69Q-14Q^2+Q^3

2. Originally Posted by archistrategos214
hello,

need help with this one, need it around 5hrs from now

Q: how much is the optimum quantity that yields the maximum profit? show your solution

Selling Price = 60
Total cost TC = 128+69Q-14Q^2+Q^3
i think there's some stuff missing from the question, the wording seems weird to me...

anyway, i guess the way to go is to minimize the cost. so we want to minimize the function: $128 + 69Q - 14Q^2 + Q^3$

so we find the critical points of the function and pick the one that is the local minimum. that will give you the $Q$ for minimum cost, which will make our profit larger...