i need a help in that specific part, i already have the answers for the exercise.
Formulate as a Linear Programming problem to maximize profit.
ASSIGNMENT 3 PART 1. 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: Departmen
$20 The production manager has the responsibility of specifying production levels for each product for the
coming week. Formulate as a linear programming problem to maximize profit.
What mix of products would yield maximum profit?
Solve with computer software. Show computer output. The production manager has the responsibility of specifying production
levels for each product for the coming week. Let
X1_ Number of chairs produced
X2_ Number of benches produced
X3_ Number of tables produced
The objective function is
Maximize profit _ 15X1 _ 10X2 _ 20X3
1.5X1 _ 1.5X2 _ 2.0X3 _ 450 hours of sawing available
1.0X1 _ 1.5X2 _ 2.0X3 _ 400 hours of sanding available
2.0X1 _ 2.0X2 _ 2.5X3 _ 625 hours of assembly available
1.5X1 _ 2.0X2 _ 2.0X3 _ 550 hours of painting available
X1 _ 2.0X2 _ 2.0X3 _ 100 chairs
X2 _ 2.0X3 _ 50 benches
X3 _ 50 tables
X1, X2, X3 _ 0 Page 1 of 2-Quantitative Methods in Business & Management PART 2. A phosphate manufacturer produces three grades of phosphate, A, B, and C, which yield profit
of $40, $50, and $60 per kilogram, respectively. The products require the labor and materials per batch
that are shown in the table. Each batch of Grade A phosphate yields 800kg of phosphate; each batch of
Grade B phosphate yields 700kg of phosphate; and each batch of Grade C phosphate yields 800kg of
phosphate. Labor hours
Raw material #1
Raw material #2 Grade
5,000 kg Formulate as a Linear Programming problem to maximize profit.
What mix of products would yield maximize profit? _________________________
Solve this with computer software to show the solution.
Minimize cost _ 40A _ 50B _ 60C
Labor: 4A _ 4B _ 5C _ 80
Raw material #1 200A _ 300B _300C _ 6,000
Raw material #2 600A _ 400B _500C _ 5,000 Page 2 of 2-Quantitative Methods in Business & Management
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