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.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A process of making chair is described as follows: Stage 1 Seat and back attached Stage 2 Legs attached The production speeds are 15 chairs per hour for Stage 1 and 30 chairs per hour for stage 2. The cycle time of the process is ______minutes. The flow time of the process is ______ minutes.
A recurring maintenance job in a factory is being done by a three-man crew. Due to the nature of the job and space limitations, it was observed that two of the men were idle 37% of the time; one of the men was also idle an additional of the time, and at any given time only one man was required. The men were each paid P24.00 per hour. Each time the job was performed a set of tools and equipment with a value equivalent to P36.00 per hour was used. If the three-men crew could complete the work in 5 hours, which crew size would be the most economical
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Consider the flow in Figure 7–1 but assume that no patients require follow-upappointments. All patients first check in with the single receptionist, which takesan average of 6 minutes. They are then seen by one of two nurses who take weight,blood pressure, etc., which takes an average of 10 minutes. Finally, they are seenby a GP in an examination room, which takes an average of 16 minutes. There arethree GPs. The table below summarizes this data. Assume the clinic has no waitingroom or examination room constraints.Assume that there are eight patients arriving an hour during working hours.Resource Minutes per patient Number of resourcesReceptionist 6 1Nurse 10 2Doctor 16 3a. What is the capacity of each resource?b. Which resource is the bottleneck and hence what is the capacity of the system?
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