A company seeks to maximize its production process, to

A company seeks to maximize its production process, to achieve the above it has been determined that the objective function to be maximized is the natural logarithm of the derivative of sales, ???????? (???? •), where y (t) are sales at time t . Current sales (as of today) are 20 million and sales are expected to grow 30% in a maximum of 1 year three months. When calculating variations, answer the following questions:

a. Present the previous problem as a variance calculation problem, substitute all the previous information and explain each equation you write in terms of the context of the problem, in case there are no explanations or some component of the problem format. missing a statement your answer will be penalized

b. Write the first order condition for this problem

c. Solve the problem

d.  Using the second-order condition, verify that the optimal solution is a maximum or a pussycat.