Each dryer (STD or DEL) requires one motor and a respective control unit. Define X, and X, to be the number of STD and DEL dryers manufactured per period, respectively. The objective is to determine the number of STD and DEL dryers to produce so as to maximize the total contribution.
Each dryer (STD or DEL) requires one motor and a respective control unit. Define X, and X, to be the number of STD and DEL dryers manufactured per period, respectively. The objective is to determine the number of STD and DEL dryers to produce so as to maximize the total contribution.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Transcribed Image Text:1. Profit Maximization (Solve using graphical method)
A manufacturer of gas dryers, produces two models-a standard (STD)
model and a deluxe (DEL) model. Production consists of two major phases. In the
first phase, stamping and painting (S & P), sheet metal is formed (stamped) into
the appropriate components and painted. In the second phase, assembly and test-
ing (A & T), the sheet metal components along with the motor and controls are
assembled and tested. (Ignore any scheduling problems that might arise from the
sequential nature of the operations.) Information concerning the resource
requirements and availability is shown in the following table:
Quantity of Resources Required
per Unit of Output
Dryer Type
Quality of
Resources
Available During
Period
Resource
STD (1)
DEL (2)
S&P (hours)
2.0
2,000
3.0
3
Motors (units)
2
1,400
STD controls (units)
2
1.300
DEL controls (units)
900
A &T (hours)
15
2.3
1,000
Profit contribution ($/unit)
126
173
Each dryer (STD or DEL) requires one motor and a respective control unit. Define
X, and X2 to be the number of STD and DEL dryers manufactured per period,
respectively. The objective is to determine the number of STD and DEL dryers to
produce so as to maximize the total contribution.
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