Question 3. A mathematical model and its notation are given below. Considering the given

information, answer the following:

a. What is to be minimized and what is the meaning of each term in the objective function?

(Please provide an explanation).

b.Explain the meaning of each of five constraints (3.32-3.36) and state why those

limitations are considered?

c. Overall, state the decision problem considered in this mathematical programming.

Notation: V : the set of production plants V, : the set of potential DCs, p of which are to be opened Vi : the set of demand points K: the set of homogeneous commodities c* : the unit transportation cost of commodity k from plant i to the demand point r across the DC d' , : the quantity of product k required by demand point r p*: the maximum quantity of product & that plant i can produce 9 ,: 9', : the minimum and maximum activity level of potential DCJ f, : fixed cost of openning potential DC j g, : marginal cost of operating potential DC j z, : binary variable equal to 1 if DC / is opened; 0 otherwise y, : binary variable equal to 1 if demand point > is assigned to DC j; 0 otherwise s* : the quantity of item k transported from plant i to demand point / through DC j Minimize ievi jevrevykek jeV2 reVikek subject to ECrap, iEV, KEK, (3.32) jeVirEVs Esdir =dyin jeVarEV, KEK, (3.33) iEVI Evir = 1. reVS. (3.34) jev qjz;