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Shelby Shelving Case Study

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EXECUTIVE SUMMARY
Shelby Shelving is a small company that produces two types of shelves for stores (Model S and Model LX). Shelves are manufactured in three steps: stamping, forming and assembly. In the stamping stage, a large machine is used to stamp standart sheets of metal into appropriate sizes. In the forming stage, another machine bends the metal into shape. Assembly involves joining the parts with a combination of soldering and riveting.
Although the shelves are selling well, the total profit of the company is a concern. An engineer suggested that the current production of model S should be cut back because Model S shelves are sold for $1800 per unit but their costs are $1839. Therefore, company is losing money on each one. But …show more content…

0.3x+0.3y ≤ 800 (Constraint available hours for stamping)
0.25x+0.5y ≤ 800 (Constraint available hours for forming) x ≤ 1900 and y ≤ 1400 (Constraints for monthly production of Model S and Model LX) x ≥ 0 and y ≥ 0 (Both monthly production should be an integer and ≥ zero)

Fixed Cost and we want to maximize our total profit which is
Direct Material Cost+Total Direct Labor Cost+Variable Cost for LX
Unit Selling Price of S (1800 - 1540)x + (2100 - 1855)y - 350.000
Direct Material Cost+Total Direct Labor Cost+Variable Cost for S
Unit Selling Price of LX

So, it is 260x + 245y - 350.000

CONCLUSION & INTERPRETATION
The calculation has proven that contribution margin of Model S is higher than Model LX. In conclusion, all resources should be allocated to produce Model S up to its maximum production capacity.
In order to maximize the total profit, the monthly production plan should be 1900 unit/month for Model S and 650 unit/month

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