The contribution to profits and overhead per 100 feet of pipe is $34 for type 1 and $40 for type 2. - Formulate a linear programming model to determine how much of each type of pipe should be produced

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The contribution to profits and overhead per 100 feet of pipe is $34 for type 1 and $40 for type 2.
- Formulate a linear programming model to determine how much of each type of pipe should be produced to maximize contribution to profits and to overhead, assuming that everything produced can be sold.
- Find the optimal solution algebraically for the Moldex Company problem. What is the Z value when the decision variables have optimal values?

The Moldex Company produces two basic types of plastic pipe. Three resources are crucial to the output of pipe:
extrusion hours, packaging hours, and a special additive to the plastic raw material. The following data represent
next week's situation. All data are expressed in units of 100 feet of pipe.
PRODUCT
Resource
Extrusion
Packaging
Additive mix
Type 1
4 hr
2hr
2b
Type 2
6 hr
2hr
1 b
Resource Availability
48 hr
18 hr
16 lb
Transcribed Image Text:The Moldex Company produces two basic types of plastic pipe. Three resources are crucial to the output of pipe: extrusion hours, packaging hours, and a special additive to the plastic raw material. The following data represent next week's situation. All data are expressed in units of 100 feet of pipe. PRODUCT Resource Extrusion Packaging Additive mix Type 1 4 hr 2hr 2b Type 2 6 hr 2hr 1 b Resource Availability 48 hr 18 hr 16 lb
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