Perform one iteration of the simplex method on the data in the table above and hence determine the values of the constants A, B and C in the table below.

S₁ is the slack variable relating to assembly, S₂ is the slack variable relating to testing and S₃ is the slack variable relating to packaging.

Perform one iteration of the simplex method on the data below and determine the shadow-price for assembly.

A company produces three types of disk drive. X₁ is the number of type-A units, X₂ is the number of type-B units and X₃ is the number of type-C units made by the company each day. Each unit of type-A makes €30 profit, each type-B unit makes €24 profit and each type-C unit makes €12 profit. 

The table below represents the final table in the simplex method with values given in euro.

S₁ is the slack variable relating to assembly, S₂ is the slack variable relating to packaging and S₃ is the slack variable relating to distribution.

If k is the original right hand side value for packaging then its range is     Calculate  . 

A company produces three types of power supply. X₁ is the number of type-A units, X₂ is the number of type-B units and X₃ is the number of type-C units made by the company each day. Each unit of type-A makes €30 profit, each type-B unit makes €24 profit and each type-c unit makes €12 profit. 

The table below represents the final table in the simplex method with values given in euro.

S₁ is the slack variable relating to assembly, S₂ is the slack variable relating to soldering and S₃ is the slack variable relating to packaging.

What is the shadow-price for soldering?

A company produces three types of diskdrive. X₁ is the number of type-A units, X₂ is the number of type-B units and X₃ is the number of type-C units made by the company each day. Each unit of type-A makes €10 profit, each type-B unit makes €16 profit and each type-c unit makes €32 profit. 

From the table below determine the number of type-A units the company should produce in order to maximise profit.

Regulations regarding on-line tests.

The online tests constitute the continuous assessment element of this course and are therefore subject to the exam regulations of the college.

Tests are not designed as group projects. All work presented by a student will be the work of that student alone.

At the discretion of the lecturer, a student may be asked to retake an online quiz in a controlled and supervised environment. The mark achieved during this quiz will supercede any results previously obtained in unsupervised attempts.

Students shall be expected to furnish a written explanation if a large discrepancy emerges between the results of the original attempt and the supervised test. Failure to satisfactorily explain any discrepancy will be deemed a possible breach of exam regulations whereby the matter will be forwarded to the Registrar’s office for investigation.

Do you understand the rules as outlined above?