Mathematics

There are three questions.

Question 1 is attached.

All must be done in excel and show models

#2 – A computer company manufactures two types of computers. Each type of computer will require assembly time, inspection time, and storage space. The amounts of each of these resources that can be devoted to the production of the computers is limited. The manager wants to determine the quantity of each computer to produce to maximize the profit generated by sales of these computers.

In order to develop a suitable model of the problem, the manager has met with design and manufacturing personnel. As a result of those meetings, the manager has obtained the following information:

The manager has also acquired information on the availability of resources. These daily amounts are:

The manager also met with the firm’s marketing manager and learned that demand for the microcomputers was such that whatever combination of these two types of computers is produced, all the output can be sold.

a) What is the mix of computers that they should produce?

b) What profit do we expect this will result in?

c) What contraints are binding?

#3 A dietician has been asked by the athletic director of a university to develop a snack that athletes can use in their training programs. The dietician intends to mix two separate products together to make the snack. The following information has been obtained by the dietician:

Product A costs $.20 per ounce and Product B costs $.10 per ounce.

a) What is the optimal mix of Product A and Product B that minimizes the snack’s overall cost?

b) What is the cost per snack?

c) Are any requirements exceeded? If so, which ones and by how much?

d) What if the trainer also decided that the snack should also include at least 2 oz of both Product A and Product B. Reformulate and solve. What is the new mix and cost?

debate-police-and-civilian-budget-preparation-

Prepare to participate in a debate on the following topic: Should police departments train sworn police officers to complete financial reports and prepare budgets or hire civilian personnel for these tasks? Do civilians have enough knowledge of policing to properly prepare good budgets addressing policing needs? Can sworn officers fulfill this task without proper degrees/education?

Part I

Create an outline supporting your position. You should include a minimum of 5 points and each point should be fully supported with sub points.

Part II

Create an outline countering your original position. You should have a minimum of 5 points and each point should be fully supported with sub points.