1. A company produces two colors of cloth, namely red and pink. In order to produce these colors, 2 special raw materials are being used by the company. The production data is given below: Meters of raw material per meter of Maximum daily availability Red Cloth Pink Cloth Raw Material 1 2 1 Raw Material 2 4 6 24 Profit per ton (1000) 4 5 According to the dealer, the daily maximum demand for red cloth is 2 meters and the daily demand for red cloth can't exceed that for pink cloth by more than 1 meter. The company wants to maximize its daily profit. a. Construct the LP Model of this problem. b. Find the optimal solution using Graphs. (graphing paper or desmos) c. Find the optimal solution using Excel Solver. (Sheet 1) d. Find the optimal solution using Algebraic Solution. e. Find the optimal solution using the Simplex Method. (Not in excel)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.4: Fixed-cost Models
Problem 15P
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1. A company produces two colors of cloth, namely red and pink. In order to produce these
colors, 2 special raw materials are being used by the company. The production data is
given below:
Meters of raw material per meter of
Maximum
daily
availability
Red Cloth
Pink Cloth
Raw Material 1
2
1
6
Raw Material 2
4
24
Profit per ton (1000)
According to the dealer, the daily maximum demand for red cloth is 2 meters and
the daily demand for red cloth can't exceed that for pink cloth by more than 1 meter. The
company wants to maximize its daily profit.
a. Construct the LP Model of this problem.
b. Find the optimal solution using Graphs. (graphing paper or desmos)
c. Find the optimal solution using Excel Solver. (Sheet 1)
d. Find the optimal solution using Algebraic Solution.
e. Find the optimal solution using the Simplex Method. (Not in excel)
Transcribed Image Text:1. A company produces two colors of cloth, namely red and pink. In order to produce these colors, 2 special raw materials are being used by the company. The production data is given below: Meters of raw material per meter of Maximum daily availability Red Cloth Pink Cloth Raw Material 1 2 1 6 Raw Material 2 4 24 Profit per ton (1000) According to the dealer, the daily maximum demand for red cloth is 2 meters and the daily demand for red cloth can't exceed that for pink cloth by more than 1 meter. The company wants to maximize its daily profit. a. Construct the LP Model of this problem. b. Find the optimal solution using Graphs. (graphing paper or desmos) c. Find the optimal solution using Excel Solver. (Sheet 1) d. Find the optimal solution using Algebraic Solution. e. Find the optimal solution using the Simplex Method. (Not in excel)
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