Consider a single output firm which uses three factors of production. Its production function is 1/2 1/2 ƒ (21, 22, 23) = 21 +2₂² +23² for z = +23² for z = (21, 22, 23) € R³. Given factor prices w₁ = 2, w2 > 0, and w3 > 0, the cost of producing output q = 6 is minimized at z₁ = 1, 22 = 4, 23 = 9. DETERMINE W2 and w3.

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Consider a single output firm which uses three factors of production. Its
production function is
f(21, 22, 23) = 21+%₂²
1/2
+23
Given factor prices w₁ = 2, w2 > 0, and w3 > 0, the cost of producing
output q = 6 is minimized at z₁ = 1, 22 = 4, 23 = 9.
DETERMINE W2 and w3.
1/2
for z = (21, 22, 23) € R³.
Transcribed Image Text:Consider a single output firm which uses three factors of production. Its production function is f(21, 22, 23) = 21+%₂² 1/2 +23 Given factor prices w₁ = 2, w2 > 0, and w3 > 0, the cost of producing output q = 6 is minimized at z₁ = 1, 22 = 4, 23 = 9. DETERMINE W2 and w3. 1/2 for z = (21, 22, 23) € R³.
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