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Minimize c=50x+50y+11zc = 50 x + 50 y + 11 z

question 29

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Minimize c=50x+50y+11zc = 50 x + 50 y + 11 z
Subject to
2x+z82x+yz43x+yz6x0,y0,z0\begin{aligned}2 x + z & \geq 8 \\2 x + y - z & \geq 4 \\3 x + y - z & \leq 6 \\x \geq 0 , y \geq 0 , z & \geq 0\end{aligned}

Relate economic concepts like consumer surplus, producer surplus, and deadweight loss to market equilibrium.
Understand the role of the "invisible hand" in competitive markets and its impact on efficiency and innovation.
Understand the concepts of equilibrium, total revenues, and opportunity costs in purely competitive markets.
Identify the characteristics of a purely competitive market at long-run equilibrium.

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