# Juan hernandez, a cuban athlete who visits the united states and

1. Juan Hernandez, a Cuban athlete who visits the United States and Europe frequently, is allowed to return with a limited number of consumer items not generally available in Cuba. The items, which are carried in a duffel bag, cannot exceed a weight of 5 pounds. Once Juan is in Cuba, he sells the items at highly inflated prices. The weight and profit (in U.S. dollars) of each item are as follows:

Item
Weight (lb)
Profit
Demin Jeans
2
\$ 90
CD player
3
150
Compact discs
1
30

Juan wants to determine the combination of items he should pack in his duffel bag to maximize his profit. This problem is an example of a type of integer programming problem known as a “knapsack” problem. Formulate and solve the problem.

1. The Texas Consolidated Electronics Company is contemplating a research and development program encompassing eight research projects. The company is constrained from embarking on all projects by the number of available management scientists (40) and the budget available for R&D projects (\$300,000). Further, if project 2 is selected, project 5 must also be selected (but not vice versa). Following are the resources requirement and the estimated profit for each project.
Project
Expense (1,000s)
Management scientists require
Estimated profit (1,000,000s)
1
50
6
0.30
2
105
8
0.85
3
56
9
0.20
4
45
3
0.15
5
90
7
0.50
6
80
5
0.45
7
78
8
0.55
8
60
5
0.40

Formulate the integer programming model for this problem and solve it using the computer.

(550 words)

Approximate price: \$22

## How it Works

1

It only takes a couple of minutes to fill in your details, select the type of paper you need (essay, term paper, etc.), give us all necessary information regarding your assignment.

2

Once we receive your request, one of our customer support representatives will contact you within 24 hours with more specific information about how much it'll cost for this particular project.

3

After receiving payment confirmation via PayPal or credit card – we begin working on your detailed outline, which is based on the requirements given by yourself upon ordering.

4

Once approved, your order is complete and will be emailed directly to the email address provided before payment was made!