operations research chapter 3 solutions

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Solutions for Operations Research: An Introduction 10th

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The simplex method and sensitivity analysis, duality and post-optimal analysis, transportation model and its variants, network model, advanced linear programming, goal programming, integer linear programming, heuristic programming, traveling salesperson problem (tsp), deterministic dynamic programming, inventory modeling (with introduction to supply chains), review of basic probability, decision analysis and games, probabilistic inventory models, markov chains, queuing systems, simulation modeling, classical optimization theory, nonlinear programming algorithms.

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Introduction to Operations Research (9th Edition) Edit edition This problem has been solved: Solutions for Chapter 3 …

Firstly write down the whole details into excel. The screenshot is given as below,

All the inputs have been done. Now, just click on Solver tab of excel, then a new dialog box will open. In this take cell total profit as objective and select maximum option and then select decision variables as changing cells. After this add the constraints that total of each should be less than given maximum values. The screenshot of solver is given as below,

Now, click on Solve button to have the desired result. The screenshot of result is shown as below,

According to the above part (a) , it is clear that the cruiser demand constraint was not binding. Therefore, raising the demand of for cruiser will not change the optimal solution. Hence, the marketing campaign should not be taken.

In this part, the maximum value of labor hour will be,

Now, make this change in excel of part (a) and then rerun the solver as it is. The screenshot is given as below,

The new obtained result is shown as below,

The increase in profit will be,

And, the maximum value of cruiser demand will be,

The cost of advertisement is $500,000. In the result of part (e), the maximum limit of cruiser demand and labor hours had been used and it is known that the overtime of labor is $1,600,000. Hence, part (e) required extra money that is,

Now, subtract this amount from the profit obtained in part (e). So,

The above amount will be the net profit in part (e) which is greater than the profit obtained in part (a). So, it can be concluded that the running advertisement campaign and using labor over time is a profitable decision.

In this part, change the unit profit of thrill-seeker that is reduce it 2.8 from 3.6, so make this change in excel of part (a) and then rerun the solver as it is. The screenshot is given as below,

In this part, the labor hour of thrill-seeker will be,

And, profit of it will be 3.6.

In this part add the constraint that the demand of cars should be fulfilled. The screenshot is given as below,

After adding the constraint, click on Solve button of the solver to have the desired result. The screenshot if result is shown as below,

Now, make changes in excel as per provided information of the problem. The screenshot is given as below,

Now, make this change in excel of part (a) and then rerun the solver as it is. The new obtained result is shown as below,

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