How to Choose the Best Night‑Market Stall Product and Pricing with Math Modeling
This article walks through a step‑by‑step mathematical modeling process for a night‑market stall, covering product selection, supplier cost comparison, optimal pricing, stall location choice, and promotion strategies to maximize profit and efficiency.
Step 1: Choose What to Sell
Five candidate products were evaluated: milk tea, pancakes, fried skewers, accessories, and phone cases. Customer preference percentages are 45% milk tea, 30% pancakes, 15% fried skewers, 8% accessories, and 2% phone cases. The target demographic is 80% young people with a budget of 10–30 CNY.
Profit margins and competition intensity (number of stalls) are:
Milk tea – 40% margin, 2 competing stalls
Pancakes – 35% margin, 4 stalls
Fried skewers – 50% margin, 2 stalls
Accessories – 60% margin, 1 stall
Phone cases – 70% margin, 1 stall
Using a weighted scoring formula that combines demand share, profit margin, and competition, milk tea receives the highest overall score and is recommended as the flagship product.
Step 2: Supplier Channel Selection
Three wholesale markets (A, B, C) were compared for raw‑material price, transportation fee, and distance. Daily demand is assumed to be 30 kg.
Market A – 20 CNY/kg, 50 CNY transport, 5 km
Market B – 18 CNY/kg, 70 CNY transport, 15 km
Market C – 15 CNY/kg, 100 CNY transport, 25 km
When total cost (material + transport) is calculated, Market C yields the lowest cost, though longer distance and time should be considered in the final decision.
Step 3: Pricing Strategy
Customers are willing to pay between 15 CNY and 25 CNY for milk tea. Regression analysis of historical sales data provides a demand‑price relationship, and the profit function (cost per cup = 8 CNY) is derived.
Optimizing the profit function gives an optimal price of 19 CNY per cup, resulting in the highest daily profit.
Step 4: Stall Location Choice
Three possible stalls (A, B, C) were evaluated for daily foot traffic and monthly rent:
Stall A – 500 people/day, 3000 CNY/month
Stall B – 700 people/day, 4500 CNY/month
Stall C – 600 people/day, 4000 CNY/month
Calculating rent per customer shows Stall A has the best cost‑per‑customer ratio, so it is recommended.
Step 5: Promotion Strategy
Two promotional schemes were simulated for 100 customers:
Scheme A: Spend 20 CNY, get 5 CNY off – average order value 24 CNY, order volume +30%
Scheme B: Second cup half price – average order value 27 CNY, order volume +20%
Profit calculations indicate Scheme A yields higher daily profit, so it is the preferred promotion.
Conclusion : The case demonstrates that street‑vendor entrepreneurship requires systematic planning—from product selection and supplier sourcing to pricing, stall location, and promotions. Mathematical modeling provides a rigorous tool for making rational, data‑driven decisions.
Model Perspective
Insights, knowledge, and enjoyment from a mathematical modeling researcher and educator. Hosted by Haihua Wang, a modeling instructor and author of "Clever Use of Chat for Mathematical Modeling", "Modeling: The Mathematics of Thinking", "Mathematical Modeling Practice: A Hands‑On Guide to Competitions", and co‑author of "Mathematical Modeling: Teaching Design and Cases".
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