The problem must bring: 1.- Linear mathematical model in which you must define the decision variables and explain the elements of the model. 2.- Solve it by LINDO and must include LINDO's report in such a way that it is the evidence to justify their answers. 3.- Explain the optimal solution in terms of the problem 4.- Answer sections that appear in a particular way in the problem.

Benson Electronics manufactures three components that are used to make cell phones and other communication devices. In a given production period, demand for these three components may exceed Benson's manufacturing capacity. In this case, the company meets the demand by purchasing the components from another manufacturer at an increased cost per unit. The manufacturing cost per unit and the purchase cost per unit for the three components are as follows:

Source	Component 1	Component 2	Component 3
Manufacturing	$4.50	$5.00	$2.75
Buy	$6.50	$8.80	$7.00

Manufacturing times in minutes per unit for the three Benson departments are the following:

Department	Component 1	Component 2	Component 3
Production	2	3	4
Assembly	1	1.5	3
Test and packaging	1.5	2	5

For example, each unit of Component 1 that Benson manufactures requires two minutes of production time, 1 minute of assembly time, and 1.5 minutes of testing and packaging time. For the next production run, Benson has capacities of 360 hours in the production department, 250 hours in the assembly department, and 300 hours in the testing and packaging department. Once you present the linear model and its optimal solution, answer:

a) If you could decide to increase the capacity of any of the 3 operations. Which one would you choose and why? b) If the costs of component 1 that are purchased at $ 4.50 per unit were modified, would the current optimal solution be altered? Justify your answer c) What is the benefit that is obtained if instead of having 300 hours in testing and packaging, there are 350? Would that availability be feasible? Justify your answer .