Determine the units of capital and labour, Microeconomics

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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 2nd order condition]                                                                            

ii) Maximum output


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