Question 1

Exhibit 6-2
Sinclair Plastics operates two chemical plants which produce polyethylene; the Ohio Valley plant which can produce up to 10,000 tons per month and the Lakeview plant which can produce up to 7,000 tons per month.Sinclair sells its polyethylene to three different auto manufacturing plants,Grand Rapids (demand = 3000 tons per month),Blue Ridge (demand = 5000 tons per month),and Sunset (demand = 4000 tons per month).The variable unit costs of shipping between the respective plants are shown in the table below:
  In addition to the variable unit costs of shipping,Sinclair incurs a fixed handling cost (of pickup and delivery)for any shipping routes it uses.These costs are discounted for longer routes,as shown below: 
-Refer to Exhibit 6-2.This problem is an example of what type of integer programming model?

Accepted Answer

The answer of Exhibit 6-2
Sinclair Plastics operates two chemical plants...

Question 2

Exhibit 6-2
Sinclair Plastics operates two chemical plants which produce polyethylene; the Ohio Valley plant which can produce up to 10,000 tons per month and the Lakeview plant which can produce up to 7,000 tons per month.Sinclair sells its polyethylene to three different auto manufacturing plants,Grand Rapids (demand = 3000 tons per month),Blue Ridge (demand = 5000 tons per month),and Sunset (demand = 4000 tons per month).The variable unit costs of shipping between the respective plants are shown in the table below:
  In addition to the variable unit costs of shipping,Sinclair incurs a fixed handling cost (of pickup and delivery)for any shipping routes it uses.These costs are discounted for longer routes,as shown below: 
-Refer to Exhibit 6-2.Suppose the shipping capacity for all routes is 3000 tons per month.What is Sinclair's optimal shipping plan in that case? What is the total cost in that case?

Accepted Answer

The answer of Exhibit 6-2
Sinclair Plastics operates two chemical plants...

Question 3

Exhibit 6-3
PharmaCo wants to determine how to deploy sales representatives across its Western U.S.region to support a new drug for obesity.Sales representatives will be located in a "home city",which they serve,in addition to cities with feasible commuting distance,with the objective that all cities must be served by at least one sales representative.The feasible connections between each city in the region are listed below (1 indicates a feasible connection): 
-Refer to Exhibit 6-3.Suppose PharmaCo wants to have a backup for each city.What is the minimum number of representatives that can cover this region in that case? What are their home cities?

Accepted Answer

The answer of Exhibit 6-3
PharmaCo wants to determine how to...

Question 4

Exhibit 6-3
PharmaCo wants to determine how to deploy sales representatives across its Western U.S.region to support a new drug for obesity.Sales representatives will be located in a "home city",which they serve,in addition to cities with feasible commuting distance,with the objective that all cities must be served by at least one sales representative.The feasible connections between each city in the region are listed below (1 indicates a feasible connection): 
-Refer to Exhibit 6-3.Formulate an integer programming model to identify a feasible deployment plan to the sales representatives.What is the minimum number of representatives that can cover this region? What are their home cities?

Accepted Answer

The answer of Exhibit 6-3
PharmaCo wants to determine how to...

Question 5

Exhibit 6-1
A recent college graduate is planning to move cross country from her college town to the city where her first job is located.She has rented a truck that can haul up to 1100 cubic feet of furniture.The volume and value of each item she is considering moving on the truck are given below. 
-Refer to Exhibit 6-1.Suppose she can save $400 by renting a smaller truck,which has only 800 cubic feed of capacity.Would she be better off with the smaller truck?

Accepted Answer

The answer of Exhibit 6-1
A recent college graduate is planning...

Question 6

Exhibit 6-3
PharmaCo wants to determine how to deploy sales representatives across its Western U.S.region to support a new drug for obesity.Sales representatives will be located in a "home city",which they serve,in addition to cities with feasible commuting distance,with the objective that all cities must be served by at least one sales representative.The feasible connections between each city in the region are listed below (1 indicates a feasible connection): 
-Refer to Exhibit 6-3.This problem is an example of what type of integer programming model?

Accepted Answer

The answer of Exhibit 6-3
PharmaCo wants to determine how to...

Question 7

Exhibit 6-2
Sinclair Plastics operates two chemical plants which produce polyethylene; the Ohio Valley plant which can produce up to 10,000 tons per month and the Lakeview plant which can produce up to 7,000 tons per month.Sinclair sells its polyethylene to three different auto manufacturing plants,Grand Rapids (demand = 3000 tons per month),Blue Ridge (demand = 5000 tons per month),and Sunset (demand = 4000 tons per month).The variable unit costs of shipping between the respective plants are shown in the table below:
  In addition to the variable unit costs of shipping,Sinclair incurs a fixed handling cost (of pickup and delivery)for any shipping routes it uses.These costs are discounted for longer routes,as shown below: 
-Refer to Exhibit 6-2.What problem will occur if we use an IF statement to model the fixed handling costs?

Accepted Answer

The answer of Exhibit 6-2
Sinclair Plastics operates two chemical plants...

Question 8

Exhibit 6-2
Sinclair Plastics operates two chemical plants which produce polyethylene; the Ohio Valley plant which can produce up to 10,000 tons per month and the Lakeview plant which can produce up to 7,000 tons per month.Sinclair sells its polyethylene to three different auto manufacturing plants,Grand Rapids (demand = 3000 tons per month),Blue Ridge (demand = 5000 tons per month),and Sunset (demand = 4000 tons per month).The variable unit costs of shipping between the respective plants are shown in the table below:
  In addition to the variable unit costs of shipping,Sinclair incurs a fixed handling cost (of pickup and delivery)for any shipping routes it uses.These costs are discounted for longer routes,as shown below: 
-Refer to Exhibit 6-2.What is Sinclair's optimal shipping plan? What is the total cost in that case?

Accepted Answer

The answer of Exhibit 6-2
Sinclair Plastics operates two chemical plants...

Quiz 6: Optimization Models With Integer Variables