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Sagot :
Answer: Hello your function is poorly written below is the properly written function f( L,K ) = 30K^(7/10) L^(4/5)
answer : K = $7000 , L = 600 hours
Explanation:
Given Function = f( L,K ) = 30K^(7/10) L^(4/5)
L = size of labor in workers-hours
K = daily capital investment
Daily budget = $14000
average wage of employee = $11.5
Determine the combinations and capital expenditure that would yield max daily production
we will apply the relation below
K^(7/10) = L^(4/5)
K^(7/10) ≈ L^(8/10) ( where L = 14000 - k )
K^(7/10) = ( 14000 - k )^(8/10 )
when we resolve the above equation
K = $7000
L = 7000 / 11.5 ≈ 608 workers
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