Education Production Function

ECN 423 / Lectures 10-11
Interactive Cost Minimization & Optimal Input Allocation
Parameters
TFP (A) 2.00
α (Computers exponent) 0.50
β (Teachers exponent) 0.50
Total Budget (R) $320
Price of Computers (PC) $2
Price of Teachers (PT) $16
Show isoquant family
Show marginal products
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Exploration mode
Isoquants
Budget Line
Optimal
Results
Production Function
A = 2 · C0.5 · T0.5
Optimal Allocation ✓ TANGENT
Computers (C*) 80.0
Teachers (T*) 10.0
Achievement (A*) 56.57
C*/T* Ratio 8.0
Marginal Products at Optimum
MPC 0.354
MPT 2.828
MPC / PC 0.177
MPT / PT 0.177
MRTS 0.125
PC/PT 0.125
Optimality Condition
MPC / PC = MPT / PT
⟺ MRTS = PC / PT