A Clothing Distributor Has Four Warehouses Which Serve Four Large

question 15

Essay

A clothing distributor has four warehouses which serve four large cities.Each warehouse has a monthly capacity of 5,000 blue jeans.They are considering using a transportation LP approach to match demand and capacity.The following table provides data on their shipping cost, capacity, and demand constraints on a per-month basis:

a.How many variables are there in this formulation?
b.How many constraints are involved in this problem?
c.What is the constraint corresponding to City F?

---

Definitions:

Natural Logarithm

A mathematical function that calculates the time needed to reach a certain level of growth, based on the constant e (approx. 2.71828).

u(X,Y)

A utility function representing the satisfaction a consumer gets from consuming quantities of goods X and Y.

MRS

Marginal Rate of Substitution, an economic concept that describes the rate at which a consumer is willing to give up one good in exchange for another good while maintaining the same level of utility or satisfaction.

Market Basket

A selected set of goods and services used to track changes in prices and measure inflation over time, reflecting the typical consumer's spending.