3. Let the market be perfectly competitive. Firms in the market
produce output y using three factors of production (inputs), labour
L, capital K, and the raw material valerium V. Each firmโs
production function is ๐(๐ฟ,๐พ, ๐) = ๐ฟ 1 3๐พ 1 3๐ 1 3 The wage rate is
w, the rental price of capital is r, and the price of valerium is
z.
a. Find the long run equilibrium price p in this competitive
market: ๐ = ๐(๐, ๐ค, ๐ง). (12)
b. Suppose in the short run, capital is fixed at K = 8 and
valerium is fixed at V = 1. Find the firmโs short run supply curve
as a function of the output price p: ๐ฆ = ๐ฆ(๐). (6)
3. Let the market be perfectly competitive. Firms in the market produce output y using three factors of production (inputs), labour L, capital K, and the raw material valerium V. Each firm's production function is 1 1 1 f(L,K,V) = L3K3V; = The wage rate is w, the rental price of capital is r, and the price of valerium is z. a. = Find the long run equilibrium price p in this competitive market:p pรญr,w,z). (12) b. Suppose in the short run, capital is fixed at K = 8 and valerium is fixed at V = 1. Find the firm's short run supply curve as a function of the output price p: y = y(p). (6)
3. Let the market be perfectly competitive. Firms in the market produce output y using three factors of production (inpu
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3. Let the market be perfectly competitive. Firms in the market produce output y using three factors of production (inpu
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