the production function for a firm is expressed

Question

The production function for a firm is expressed as follows:

Q = 800K - K² +5KL - 7750L + 10,000

Where Q is quantity of units manufactured, K and L are units of capital and labour used respectively.

Determine

i) The units of capital and labour that the firm should hire to maximize output. [As usual, you are expected to check the 2^nd order condition]                                                                            

ii) Maximum output