Consider a firm which has the following short-run production function.
Q = 25 L2 + 25K2 - LK
Where, Q = units of output per week
L = number of workers
K = number of machines
Suppose labour is paid $200 a week and the cost of machine time is $100 per week. If the firm wants to produce 1225 units of output, how many machines and labour must be employed?