A company makes products A and B from 2 resources, labor and material. The company wants to
Question:
A company makes products A and B from 2 resources, labor and material. The company wants to determine the selling price which will maximize profits. A unit of A costs 30 to make and demand is estimated to be 50 - .09 * Price of A. A unit of B costs 20 to make and demand is estimated to be 30 - .14 * Price of B. The utilization of labor and materials and the available quantity of resources is shown in the table. A reasonable price for the products is between 90 and 140.
Product | A | B | Available resources |
Labor (hr/unit) | 2 | 4 | 150 |
Material (ounces/unit) | 2 | 8 | 220 |
Manufacturing cost($/unit) | 30 | 20 | |
Demand (units) | 50 - 0.09*P 1 | 30 - 0.14*P 2 | |
| | | |
Let X 1 = demand for As and X 2 = demand for Bs.
Let P 1 = price for As and P 2 = price for Bs.
Formulate the NLP for this company
Business Statistics a decision making approach
ISBN: 978-0133021844
9th edition
Authors: David F. Groebner, Patrick W. Shannon, Phillip C. Fry