Note: This Problem Requires the Use of a Linear Programming $$x _ { j } = \left\{ \begin{array} { l } 1 , \text { if crew } j \text { is selected } \\0 , \text { otherwise }\end{array} \right.$$

question 7

Multiple Choice

Note: This problem requires the use of a linear programming application such as Solver or Analytic Solver.
The university is scheduling cleaning crews for its ten buildings. Each crew has a different cost and is qualified to clean only certain buildings. There are eight possible crews to choose from in this case. The goal is to minimize costs while making sure that each building is cleaned. The management science department formulated the following linear programming model to help with the selection process.
Min 200x1 + 250x2 + 225x3 + 190x4 +215x5 + 245x6 + 235x7 + 220x8
s.t. x1 + x2 + x5 + x7 ? 1 {Building A constraint}
X1 + x2 + x3 ? 1 {Building B constraint}
X6 + x8 ? 1 {Building C constraint}
X1 + x4 + x7 ? 1 {Building D constraint}
X2 + x7 ? 1 {Building E constraint}
X3 + x8 ? 1 {Building F constraint}
X2 + x5 + x7 ? 1 {Building G constraint}
X1 + x4 + x6 ? 1 {Building H constraint}
X1 + x6 + x8 ? 1{Building I constraint}
X1 + x2 + x7 ? 1 {Building J constraint} $$x _ { j } = \left\{ \begin{array} { l } 1 , \text { if crew } j \text { is selected } \\0 , \text { otherwise }\end{array} \right.$$
Set up the problem in Excel and find the optimal solution. What is the cost of the optimal set of locations?

• A) 255
• B) 355
• C) 455
• D) 555
• E) 655

Appreciate the contributions of Anti-Federalists to the American political system, especially the Bill of Rights.

Understand the chief obstacles to the ratification of the U.S. Constitution and their resolution.

Comprehend the differing perspectives of Federalists and Anti-Federalists on representation and the nature of political institutions.

Compare the fundamental agreements and disagreements between Federalists and Anti-Federalists regarding the nature and function of government.

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Definitions:

Enforce Payment

The legal process or measures taken to compel the payment of a debt or financial obligation.

Exculpatory Clauses

Provisions in a contract that release one party from liability for damages caused during the execution of the contract, often by negligence.

Necessaries

Necessaries refer to essential items that a person requires for basic sustenance and living, such as food, clothing, and shelter.

Contracts With Minors

Agreements made with individuals under the age of majority, which are generally voidable at the discretion of the minor, with certain exceptions.