S14.1. (LO S14.1, S14.2, S14.4) Barrows Textile Mills produces two types of cotton cloth—denim and corduroy. Corduroy is a heavier grade of cotton cloth and, as such, requires 7.5 kg of raw cotton per metre, whereas denim requires 5 kg of raw cotton per metre. A metre of corduroy requires 3.2 hours of processing time; a metre of denim requires 3.0 hours. Although the demand for denim is practically unlimited, the maximum demand for corduroy is 510 metres per month. The manufacturer has 6500 kg of cotton and 3000 hours of processing time available each month. The manufacturer makes a profit of $2.25 per metre of denim and $3.10 per metre of corduroy. The manufacturer wants to know how many metres of each type of cloth to produce to maximize profit. a. Formulate and solve a linear programming model for this problem. b. Solve this model using the graphical method.

S14.1. (LO S14.1, S14.2, S14.4) Barrows Textile Mills produces two types of cotton cloth—denim and corduroy. Corduroy is a heavier grade of cotton cloth and, as such, requires 7.5 kg of raw cotton per metre, whereas denim requires 5 kg of raw cotton per metre. A metre of corduroy requires 3.2 hours of processing time; a metre of denim requires 3.0 hours. Although the demand for denim is practically unlimited, the maximum demand for corduroy is 510 metres per month. The manufacturer has 6500 kg of cotton and 3000 hours of processing time available each month. The manufacturer makes a profit of $2.25 per metre of denim and $3.10 per metre of corduroy. The manufacturer wants to know how many metres of each type of cloth to produce to maximize profit. a. Formulate and solve a linear programming model for this problem. b. Solve this model using the graphical method.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section: Chapter Questions

Problem 2C

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