1. A manufacturing company is engaged in producing three types of products: X, Y andZ. The production department produces, each day, components sufficient to make 50units of X, 25 units of Y and 30 units of Z. The management is confronted with theproblem of optimizing the daily production of the products in the assemblydepartment, where only 100-man-hours are available daily for assembling theproducts. The following additional information is availableType of ProductProfit ContributionAssembly Time perProduct (Hrs)per Units ofProducts (in PhP)1200.8Y2001.74502.5The company has a daily order commitment for 20 units of product X and a total of15 units of products Y and Z. Formulate this problem as an LP model so as to maximize thetotal profit. Using simplex method, find the number of units of product X, Y and Z to productto maximize total profit.

The image contains a linear programming (LP) problem for a manufacturing company producing three…

Answered: The company has a daily order…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section: Chapter Questions

Problem 59P

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The company has a daily order commitment for 20 units of product X and a total of 15 units of products Y and Z. Formulate this problem as an LP model so as to maximize the total profit. Using simplex method, find the number of units of product X, Y and Z to product to maximize total profit.