Abed’s telecommunication firm production function is given by 𝑄 = 300𝐿𝐾 0.5 , where 𝐾 is

[answerhappygod]

Abed’s telecommunication firm production function is given by 𝑄
= 300𝐿𝐾 0.5 , where 𝐾 is the number of internet servers and 𝐿 is
the number of labor hours he uses. The cost of labor is $200 per
hour and the cost per server is $100. (a) In the short run, Abed
has fixed contracts for 9 servers. What is the marginal product of
labor? (b) In the short run with 9 servers, is Abed’s marginal
product of labor increasing, constant, or decreasing? When is
average product of labor highest? (c) In the short run with 9
servers, what is Abed’s short-run cost function? (d) In the long
run, what is Abed’s cost function? What is the slope of the
isoquant at the cost-minimizing levels of 𝐿 and 𝐾(L on the
horizontal axis)? (e) In the long run, does this production
function exhibit increasing, constant, or decreasing returns to
scale? (f) In the long run, does this firm have economies of
scale?