Cost of Shipping $($$ per product$)$

Customer $1$ Customer $2$ Customer $3$ Customer $4$

Warehouse $1$ $$1\mathrm{.}00$ $$3\mathrm{.}00$ $$0\mathrm{.}50$ $$4\mathrm{.}00$

Warehouse $2$ $$2\mathrm{.}50$ $$5\mathrm{.}00$ $$1\mathrm{.}50$ $$2\mathrm{.}50$

Number of Products Shipped

Customer $1$ Customer $2$ Customer $3$ Customer $4$ Total Shipped Available

Warehouse $10000060000$ needs formula

Warehouse $20000080000$

Total Received

Ordered $35,00022,00018,00030,000$

Total Shipping Cost $$0\mathrm{.}00$

Problem: You want to minimize the cost of shipping goods from $2$ different warehouses to $4$ different customers. Each warehouse has a limited supply and each customer has a certain demand.

Goal: Minimize the total shipping cost, not exceeding the quantity available at each warehouse, and meeting the demand of each customer.