Better Products, Inc., manufactures three products on two machines. In a typical week, 40 hours are available on each machine. The profitcontribution and production time in hours per unit are as follows:CategoryProfit/unitMachine 1 time/unitMachine 2 time/unitProduct 1 Product 2$300.51.0hrhr$502.01.0Product 3$200.75Two operators are required for machine 1-thus, 2 hours of labor must be scheduled for each hour of machine 1 time. Only one operator isrequired for machine 2. A maximum of 100 labor-hours is available for assignment to the machines during the coming week. Otherproduction requirements are that product 1 cannot account for more than 50% of the units produced and that product 3 must account for atleast 20% of the units produced.(c) What is the value (in $) of an additional hour of labor?0.5(a) How many units of each product should be produced to maximize the total profit contribution? What is the projected weekly profit (in$) associated with your solution?Product 1Product 2Product 3weekly profit(b) How many hours of production time will be scheduled on each machine?machine 1machine 2 (d) Assume that labor capacity can be increased to 160 hours. Develop the optimal product mix and the projected weekly profit (in $),assuming the extra hours are made available.Product 1Product 2Product 3weekly profitWould you be interested in using the additional 60 hours available for this resource?Yes, the weekly profit would be increased.No, the weekly profit would be decreased.

Decision Variable: Suppose-X be the quantity of product 1Y be the quantity of product 2Z be the…

Answered: Better Products, Inc., manufactures…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section4.8: Data Envelopment Analysis (dea)

Problem 42P

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