Integer programming model

Assignment Help Mathematics

Reference no: EM13132026

The Decision Sciences department head at a university will be scheduling faculty to teach courses during the coming fall semester. Three required courses need to be scheduled. The three courses are at the UG, MBA, and MS levels. Three professors will be assigned to the courses, with each professor receiving one of the courses. Student evaluations of professors are available from previous terms. Based on a rating scale of 5, the average student evaluations for each professor are shown below.

Course

Professor UG MBA MS

A 3.4 4.2 4.3

B 4.6 3.9 4.0

C 4.3 4.2 -

Professor C does not have a Ph. D. and cannot be assigned to teach the MS-level course. If the department head makes teaching assignments based on maximizing the student evaluation ratings over all three courses, what staffing assignments should be made?

Formulate an integer programming model for this assignment problem by determining

(a) The decision variables.

(b) The objective function.

Note: Do NOT solve the problem after formulating.

Reference no: EM13132026

Questions Cloud

Decrease in both net noncurrent assets and net income : What should be the effects of the determination that the decline was other-than-temporary on Kopp's 2011 net noncurrent assets and net income? Decrease in both net noncurrent assets and net income

Explain how mass effects act to lower the carbonyl frequency : Explain how mass effects act to lower the carbonyl frequency, as well as how inductive and hyperconjugation effects act to raise the carbonyl frequency

Determine the empirical formula of the compound : 1.52g of an oxide of nitrogen contains 0.56 g of oxygen. determine the empirical formula of the compound.?

Why traditional functional income statement is not suitable : Explain why a traditional functional income statement is not suitable for the Cost Volume Profit (CVP) analysis. What is the key point that makes a contribution approach income statement useful for CVP relationship analysis.

Integer programming model : The Decision Sciences department head at a university will be scheduling faculty to teach courses during the coming fall semester.

What is the final volume : If the pressure of 50.0 mL of oxygen gas at 100 °C increases from 735 mm Hg to 925 mm Hg, what is the final volume? Assume temperature remains constant.

Plotting data and calculations by using venn diagrams : A survey of fruit tree growers showed the following: How many grew exactly two of these three? How many fruit tree growers were surveyed?

, calculate the amount of interest capitalized for the year : Assuming the company uses the specific interest method, Calculate the amount of interest capitalized for the year. (Round the Weighted-average rate to two decimal places

Treatment with ozone followed by hydrolysis : A compound of forumula C14H12 gave a positive Baeyer test and burned with a yellow, sooty flame. Treatment with ozone followed by hydrolysis in the presence of zinc gave formaldehyde as one of the products.

User Account

All Pages