would like to get help, this is a complete.

Mario's tech company has the following production function for cellphones: l l q = L 3 K3 The hourly cost of capital is denoted by r and the hourly cost of labor is denoted by w. 1) Write down the cost-minimization problem of Carmela's. [4 pts] 2) Solve the cost minimization problem of the rm and nd optimal levels of L* and K* as a function of q, w, and r. [6 pts] 3) Suppose w=16 and r=1. Let us assume Mario wishes to produce one million cellphones. How much labor and capital should the company hire? and how much will it cost to produce those cellphones? [4 pts] 4) An order arrives from HQ and the number of cellphones to produce is now three million. Assuming Mario is not able to hire more labor than what he hired in the answer to question (3). However, Mario is able to rent more hours of machines. That is L is xed but K can be adjusted. How many units of capital will Mario use now? and how much will it cost to meet this new production level? [6 pts]