Demand Component — Farmer Adoption Dynamics
Adjust rental price, adoption momentum, and price sensitivity to explore how the S-curve of mechanization spreads across 80 hectares over 8 years.
Model Parameters
Rental Price (P)RM 2,935
RM 500RM 5,600 (ceiling)
Adoption Momentum (α)0.50
0.00 (Isolated)1.00 (Connected)
Price Sensitivity (k)0.0015
0.0001 (low)0.005 (high)
Farmer Gain (Gf)
—
RM/ha
Incentive Factor
—
IF = 1−e−kGf
Year-8 Area
—
hectares
% of Capacity
—
of 80 ha Hmax
—
H(t) = Hmax · (1 − e−α(1−e−kGf)t)
Gf = ΔY·pc + ΔL − P = 5,600 − P
A(T) = (P − VC) · ∫0T H(t) dt − ∫0T Cm(t) dt − 85,000
Gf = ΔY·pc + ΔL − P = 5,600 − P
A(T) = (P − VC) · ∫0T H(t) dt − ∫0T Cm(t) dt − 85,000
Area Serviced vs Time — S-curve
Adoption trajectory over the 8-year machinery lifespan for current parameter values
Year-8 Adoption across Price Range
Current price highlighted in amber — observe the sharp drop above RM 5,200
Farmer Component — Economic Impact of Mechanization
Quantifies yield gains, labour savings, and net financial benefit per hectare for chili farmers in Malaysia.
Farm Input Parameters
Market Price of Chili (pc)RM 6.00/kg
RM 2RM 12
Rental Price (P)RM 2,935
Yield with Mechanization10,200 kg/ha
Labour Cost (Traditional)RM 2,200/ha
Yield Gain (ΔY)
700
kg/ha (+7.37%)
Revenue Gain
RM 4,200
ΔY × pc
Labour Saving
RM 1,400
−63.6% labour
Max Benefit
RM 5,600
Pmax ceiling
Benefit Breakdown & Net Gain
How the total value of mechanization is composed and what remains after rental cost
Net Farmer Gain (Gf)
RM 2,665
per hectare, after rental cost
Economically viable
Net Farmer Gain vs Rental Price
Gf across the full pricing spectrum — drops to zero at the RM 5,600 ceiling where mechanization loses all economic incentive
Service Provider — Capital Flow & Profitability
ODE-based tracking of accumulated capital over 8 years: initial −RM 85,000 investment, rental revenue, variable costs, and time-dependent maintenance (the "bathtub curve").
Provider Parameters
Rental Price (P)RM 2,935
Adoption Momentum (α)0.50
Aging Exponent (n)2.0
1.5 (mild aging)2.5 (severe aging)
Break-even Year
—
from purchase
Year-8 Capital
—
before salvage
Total Return
—
+ RM 15k salvage
Profit Margin
—
on RM 85k invest.
Accumulated Capital A(t)
Starts at −RM 85,000, rises as revenue beats costs. Target: reach +25% profit margin before year 8
A(t)
Break-even (A=0)
+25% target
Annual Revenue vs Costs
Maintenance escalates with machine age per Rotz (1987) power function C(t) = Mbase·(t/L)n
Revenue
Variable costs
Maintenance
Cumulative Capital Breakdown & Asset Life-Cycle Liabilities
A continuous step-integration dashboard showing the total stacked asset lifecycle variables over the 8-year lifespan.
Dynamic Variable State Summary
Asset Purchase Capital Base:RM 85,000
Active Rental Price (P):RM 2,935
Adoption Momentum (α):0.50
Aging Power Exponent (n):2.0
Gross Revenue
—
Year 8 Sum
Asset Cost Base
RM 85k
Fixed Capital
Variable Costs
—
Cumulative VC
Maintenance
—
Rotz Wear Curve
Stacked Lifecycle Financial Variables
Gross Revenue (line) overlays cumulative stacked liabilities (Asset Initial Cost → Variable Operating Costs → Maintenance)
Initial Capital Cost
+ Cumulative Variable Cost
+ Cumulative Maintenance Cost
Gross Incoming Revenue Line
Optimal Pricing Strategy
Finding the equilibrium price where farmer gains and provider profits are balanced and mutually sustainable.
RM 2,500 – RM 3,500
Recommended pricing range. Equilibrium point at RM 2,935 where Gf = Ip = RM 2,665/ha — both parties share gains equally while ensuring 25% provider profit margin.
Gain Equilibrium
Farmer gain Gf = 5600−P falls while provider incentive Ip = P−270 rises. Intersection at RM 2,935 is the fair price.
Farmer gain Gf
Provider incentive Ip
Equilibrium RM 2,935
Price Scenario Comparison
Key metrics across candidate rental prices (α=0.5, k=0.0015)
| Price | Farmer Gain | Year-8 Ha | Break-even | Verdict |
|---|
Minimum Price Formula
Pmin ensures 25% profit margin — the absolute price floor for provider sustainability
Pmin = VC + (1.25 × 85,000 − 15,000 + ∫M dt) / ∫H dt
Pmin
RM 452
absolute floor
Peq
RM 2,935
equilibrium
Pmax
RM 5,600
adoption ceiling
VC base
RM 270
/hectare
Sensitivity Analysis
How system outputs respond to perturbations in key parameters. Drag sliders to explore model robustness across market conditions.
Sensitivity Controls
Chili Market Price (pc)RM 6.00/kg
Market Capacity (Hmax)80 ha
Adoption under Chili Price Variation
Below ~RM 4.50/kg, farmer incentive collapses and the rental system becomes unviable
Market Capacity (Hmax) vs Final Capital
Economies of scale: larger fleets distribute fixed capital cost — profitability rises steeply with capacity
Adoption Momentum Feedback Loop
Weak α traps the provider in a high-cost low-revenue zone; strong community dynamics are essential