Question

Steven has a small business that provides computer application training and data entry support services. He earns $25 per hour for training and $15 per hour for data entry support.

Steven can work no more than 40 hours a week. He wants to use linear programming techniques to optimize his income.
Part A
Construct a model to represent the amount of time Steven can spend on data entry and training. Be sure to define your variables. Sketch a graph of your model.
Part B
While Steven would like to spend most of his time training, the number of hours spent training cannot exceed twice the number of hours doing data entry support. Steven must spend at least 10 hours each week on data support. Construct a model to show the constraints. Sketch a graph of your model.
Part C
Find the vertices of the feasible region. Show your work, or explain how you found the coordinates.
Part D
What is the maximum possible amount of money Steven can earn in a week given the constraints?
Round to the nearest dollar. Validate your solution to assess the reasonableness of your model.

Answer 1

Answer:If steven has a small business that provides computer application training and data entry support services. He earns $25 per hour for training and $15 per hour for data entry support. Steven can work no more than 40 hours a week. $2600 is the total income he earned

Explanation: