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Please help. Thanks.?

Find the level of labour that will maximize Output given the production function and constraint below: Max Q = 6K + 20L – 0.025 K² – 0.05 L²; subject to 3K + 8L= 1140 A. 283.13 B. 292.31C. 198.32D. 189.23

1 Answers

E
Everardo Feil

Feb 20, 2025

Rearrange the constraint:K = (1140 – 8L) / 3 and plug it into the quantity function:Q = 6(1140 – 8L)/3 + 20L – 0.025[(1140 – 8L)/3]² – 0.05L²which simplfies toQ = -0.227778L² + 54.6667L – 1330Take the derivative w/r/t L to maximize Q:dQ/dL = 0 = -0.45556L + 54.667L = 120I don’t get any of your answers.... Show More

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