Show work in abstract or standard form as below:

min(or max) Z= Objective Function

s.t.

g1(x) = constraint 1

g2(x) = constraint 2

Inequality Constraint

Please show all work and explain the constraints and objective function. Please do this by hand and not through excel or any other program for a like. Thank you!

Question 1: As a senior logistics manager of Freshmilk Farm Inc., your company produces organic milk and distributes the milk to local groceries. In order to deliver better customer service to local groceries, your company owns several locations L across its service region. It must determine which of these it should operate as cold storage locations. The cost of opening cold storage on locationl is famortized to be in cost/day); milk can only be delivered from cold storage locations that have been opened. You must also determine which a daily distribution plan, which would determine how many gallons of milk should be transported from cold storage location l to grocery g; the delivery cost from storage location l to grocery g is cgl per gallon. The daily demand for milk at grocery store g is dg gallons per day. Note that each for each cold storage location could serve multiple groceries, and each grocery store could receive milk from multiple cold storage locations. For each cold storage location, a maximum capacity of u gallons of milk can be stored, and therefore delivered from that facility, each day. Develop an optimization model to help you to minimize the total cost of setting up cold storage and delivering milk to local groceries; clearly define any notation that you use. Question 1: As a senior logistics manager of Freshmilk Farm Inc., your company produces organic milk and distributes the milk to local groceries. In order to deliver better customer service to local groceries, your company owns several locations L across its service region. It must determine which of these it should operate as cold storage locations. The cost of opening cold storage on locationl is famortized to be in cost/day); milk can only be delivered from cold storage locations that have been opened. You must also determine which a daily distribution plan, which would determine how many gallons of milk should be transported from cold storage location l to grocery g; the delivery cost from storage location l to grocery g is cgl per gallon. The daily demand for milk at grocery store g is dg gallons per day. Note that each for each cold storage location could serve multiple groceries, and each grocery store could receive milk from multiple cold storage locations. For each cold storage location, a maximum capacity of u gallons of milk can be stored, and therefore delivered from that facility, each day. Develop an optimization model to help you to minimize the total cost of setting up cold storage and delivering milk to local groceries; clearly define any notation that you use