math econ problems need the answer(1519) for the

C. Minnie hasjust signed a contract to supply ‘i’ gadgets. Her production function is giyen by Q[I{,L} = A Kquot;quot;‘Lquot;2, where K is the amount of capital rented and L is the amount of labor
employed. The wage rate is w and the rental rate of cap’rtal is r.
15. Write down the l’u’linnie’s optimization problem.
15. Write down the first order condition[s}_
1?. Solye the system of equation obtained from the first order conditions to find the optimal
amounts of cap’rtal and labor.
13. Write down the second order cond’rtions and checl-t whether they are satisfied.
19. What is l’u’linnie’s cost of producing Y gadgets? Calculate all the partial derivatives of
I’u’linnie’s cost function.