Carlton Construction Is Supplying Building Materials for a New MallThe Following Is the LP Model for This Logistics Problem

The Answer of Carlton Construction Is Supplying Building Materials for a New MallThe Following Is the LP Model for This Logistics Problem

Carlton Construction Is Supplying Building Materials for a New MallThe Following Is the LP Model for This Logistics Problem

The Answer of Carlton Construction Is Supplying Building Materials for a New MallThe Following Is the LP Model for This Logistics Problem

Solved

Carlton Construction Is Supplying Building Materials for a New Mall

question 45

Essay

Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons):
$\begin{array}{cccc}\text { Week } & \text { Trucking Limits } & \text { Railway Limits } & \text { Air Cargo Limits } \\\hline 1 & 45 & 60 & 15 \\2 & 50 & 55 & 10 \\3 & 55 & 45 & 5 \\\hline \text { Costs (\$ per } 1000 \text { tons) } & \$ 200 & \$ 140 & \$ 400\end{array}$
The following is the LP model for this logistics problem.
$Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons): \begin{array}{cccc} \text { Week } & \text { Trucking Limits } & \text { Railway Limits } & \text { Air Cargo Limits } \\ \hline 1 & 45 & 60 & 15 \\ 2 & 50 & 55 & 10 \\ 3 & 55 & 45 & 5 \\ \hline \text { Costs (\$ per } 1000 \text { tons) } & \$ 200 & \$ 140 & \$ 400 \end{array} The following is the LP model for this logistics problem. What values would you enter in the Risk Solver Platform (RSP) task pane for the cells in this Excel spreadsheet implementation of this problem? Objective Cell: Variables Cells: Constraints Cells:$ $Carlton construction is supplying building materials for a new mall construction project in Kansas. Their contract calls for a total of 250,000 tons of material to be delivered over a three-week period. Carlton's supply depot has access to three modes of transportation: a trucking fleet, railway delivery, and air cargo transport. Their contract calls for 120,000 tons delivered by the end of week one, 80% of the total delivered by the end of week two, and the entire amount delivered by the end of week three. Contracts in place with the transportation companies call for at least 45% of the total delivered be delivered by trucking, at least 40% of the total delivered be delivered by railway, and up to 15% of the total delivered be delivered by air cargo. Unfortunately, competing demands limit the availability of each mode of transportation each of the three weeks to the following levels (all in thousands of tons): \begin{array}{cccc} \text { Week } & \text { Trucking Limits } & \text { Railway Limits } & \text { Air Cargo Limits } \\ \hline 1 & 45 & 60 & 15 \\ 2 & 50 & 55 & 10 \\ 3 & 55 & 45 & 5 \\ \hline \text { Costs (\$ per } 1000 \text { tons) } & \$ 200 & \$ 140 & \$ 400 \end{array} The following is the LP model for this logistics problem. What values would you enter in the Risk Solver Platform (RSP) task pane for the cells in this Excel spreadsheet implementation of this problem? Objective Cell: Variables Cells: Constraints Cells:$ What values would you enter in the Risk Solver Platform (RSP) task pane for the cells in this Excel spreadsheet implementation of this problem?
Objective Cell:
Variables Cells:
Constraints Cells:

Definitions:

Loan

An amount of money lent out that is to be returned with a specified interest.

T-Bill

Treasury Bill, a short-term government security issued at a discount from the face value and pays no interest before it matures.

Yields

The income return on an investment, such as the interest or dividends received, usually expressed as an annual percentage.

T-Bill

Short for Treasury Bill, a short-term government securities issued with a maturity of less than one year, considered a safe investment.