Integer Programming Model: pottery problem
Not what you're looking for?
Helen Homes makes pottery by hand in her basement. She has 20 hours available each week to make bowls and vases. A bowl requires 3 hours of labor, and a vase requires 2 hours of labor. It requires 2 pounds of special clay to make a bowl and 5 pounds to produce a vase; she is able to acquire 35 pounds of clay per week. She sells her bowls for $50 and her vases for $40. She wants to know how many of each item to make each week to maximize her revenue.
a. Formulate an integer programming model for this problem.
b. Solve this model using the computer. Compare this solution with the solution without integer restrictions and indicate if the rounded-down solution would have been optimal.
Purchase this Solution
Solution Summary
This solution includes an integer programming model and the computer solution to this model.
Solution Preview
Please see the attached file for the full solution.
Question a
Let's call x to the number of bowls and y to the number of vases she sells. So total revenue will simply be 50x + 40y.
Let's now see the constraints. She has a total of 20 hours available. Each bowl requires 3 hours and each vase requires 2 ...
Purchase this Solution
Free BrainMass Quizzes
Terms and Definitions for Statistics
This quiz covers basic terms and definitions of statistics.
Know Your Statistical Concepts
Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.
Measures of Central Tendency
Tests knowledge of the three main measures of central tendency, including some simple calculation questions.
Measures of Central Tendency
This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.