David Co will manufacture dining sets: Product Mesa Silla cupboard Direct Material (Wood Panel) 32 square feet/unit
Question:
David Co will manufacture dining sets:
Product | |||
Mesa | Silla | cupboard | |
Direct Material (Wood Panel) | 32 square feet/unit | 6 square feet/unit | 44 square feet/unit |
Direct labour | 2.5 hours/unit | 0.5 hours/unit | 4 hours/unit |
Gross profit | $210/unit | $45/unit | $350/unit |
There is a total of 800 direct labor hours available per week and 10,000 direct material square feet available per week. The company needs to produce a minimum of 20 large sets per week (each large set includes: 1 table, 8 chairs, and 2 sideboards) and 50 small sets (each small set includes: 1 table, 6 chairs, and 1 sideboard). The number of chairs produced must be at least 6 per table and cannot exceed 8 per table. The number of sideboards must be at least 1 per table and cannot exceed 2 per table.
How many tables, chairs, and sideboards should the company produce per week to maximize gross profit?
Define the variables and formulate the mathematical model (objective function and constraints).
(Explain the answers in detail)
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill