Colonial Furniture produces hand-crafted colonial style furniture. Plans are now being made for the production of rocking chairs, dining room tables, and/or armoires for the next week. These products go through two stages of production (assembly and finishing). The following table gives the time required for each item to go through these two stages, the amount of wood required, and the corresponding unit profits, along with the amount of each resource available next week. Rocking Chair(RC)Dining Room Table (DRT)Armoire(ARM)AvailableAssembly (minutes)1001801203,600Finishing (minutes)6080802,000Wood (pounds)301801204,000Unit Profit$240$720$600 Formulate a complete linear programming model that would determine the production levels that would maximize profit. Make sure to identify the decision variables, objective function and constraints. Using Excel’s Solver: what is the optimal solution? In other words, how many of each piece of furniture should be produced and what is the overall profit? Which constraints are binding and what does that mean?

There are 3 items produced:Rocking Chairs (RC)Dining RoomTable (DRT)Armoire (ARM)The inputs required…

Answered: Colonial Furniture produces…

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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Colonial Furniture produces hand-crafted colonial style furniture. Plans are now being made for the production of rocking chairs, dining room tables, and/or armoires for the next week. These products go through two stages of production (assembly and finishing). The following table gives the time required for each item to go through these two stages, the amount of wood required, and the corresponding unit profits, along with the amount of each resource available next week.

	Rocking Chair (RC)	Dining Room Table (DRT)	Armoire (ARM)	Available
Assembly (minutes)	100	180	120	3,600
Finishing (minutes)	60	80	80	2,000
Wood (pounds)	30	180	120	4,000
Unit Profit	$240	$720	$600

Formulate a complete linear programming model that would determine the production levels that would maximize profit. Make sure to identify the decision variables, objective function and constraints.
Using Excel’s Solver: what is the optimal solution? In other words, how many of each piece of furniture should be produced and what is the overall profit?
Which constraints are binding and what does that mean?

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