Natural Furniture Company manufactures three outdoor products, chairs, benches, and tables. Each product must pass through the following departments before it is shipped: sawing, sanding, assembly, and painting. The time requirements (in hours) are summarized in the tables below.
The production time available in each department each week and the minimum weekly production requirement to fulfill contracts are as follows:
Department (In Hours) Product Level
Sawing 450 Chairs 100
Sanding 400 Benches 50
Assembly 625 Tables 50
Hours Required Unit
Product Sawing Sanding Assembly Painting Profit
Chairs 1.5 1.0 2.0 1.5 $15
Benches 1.5 1.5 2.0 2.0 $10
TABLES 2.0 2.0 2.5 2.0 $20
The production manager has the responsibility of specifying production levels for each product for the coming week.
A. Formulate as a problem to maximize profit.
B. The objective function is:
C. What mix of products would yield maximum profit?
This solution formulates as a problem to maximize profits.