The OR team began by having discussions with upper management to identify man- nent's objectives for the study. These discussions led to developing the following defi- on of the problem: Determine what the production rates should be for the two products in order to maximize their total profit, subject to the restrictions imposed by the limited production capacities available in the three plants. (Each product will be produced in batches of 20, so the production rate is defined as the number of batches produced per week.) Any combination of production rates that satisfies these restrictions is permitted, including producing none of one product and as much as possible of the other.

Understanding Business
12th Edition
ISBN:9781259929434
Author:William Nickels
Publisher:William Nickels
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
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An Elaborative Example
The WYNDOR GLASS CO. produces high-quality glass products, including windows and
glass doors. It has three plants. Aluminum frames and hardware are made in Plant 1, wood
frames are made in Plant 2, and Plant 3 produces the glass and assembles the products.
Because of declining earnings, top management has decided to revamp the company's
product line. Unprofitable products are being discontinued, releasing production capacity
to launch two new products having large sales potential:
Product 1: An 8-foot glass door with aluminum framing
Product 2: A 4 X 6 foot double-hung wood-framed window
Product 1 requires some of the production capacity in Plants 1 and 3, but none in Plant 2.
Product 2 needs only Plants 2 and 3. The marketing division has concluded that the com-
pany could sell as much of either product as could be produced by these plants. However,
because both products would be competing for the same production capacity in Plant 3, it
is not clear which mix of the two products would be most profitable. Therefore, an OR
team has been formed to study this question.
Transcribed Image Text:An Elaborative Example The WYNDOR GLASS CO. produces high-quality glass products, including windows and glass doors. It has three plants. Aluminum frames and hardware are made in Plant 1, wood frames are made in Plant 2, and Plant 3 produces the glass and assembles the products. Because of declining earnings, top management has decided to revamp the company's product line. Unprofitable products are being discontinued, releasing production capacity to launch two new products having large sales potential: Product 1: An 8-foot glass door with aluminum framing Product 2: A 4 X 6 foot double-hung wood-framed window Product 1 requires some of the production capacity in Plants 1 and 3, but none in Plant 2. Product 2 needs only Plants 2 and 3. The marketing division has concluded that the com- pany could sell as much of either product as could be produced by these plants. However, because both products would be competing for the same production capacity in Plant 3, it is not clear which mix of the two products would be most profitable. Therefore, an OR team has been formed to study this question.
An Elaborative Example
(cont.)
The OR team began by having discussions with upper management to identify man-
agement's objectives for the study. These discussions led to developing the following defi-
nition of the problem:
Determine what the production rates should be for the two products in order to maximize
their total profit, subject to the restrictions imposed by the limited production capacities
available in the three plants. (Each product will be produced in batches of 20, so the
production rate is defined as the number of batches produced per week.) Any combination
of production rates that satisfies these restrictions is permitted, including producing none
of one product and as much as possible of the other.
Transcribed Image Text:An Elaborative Example (cont.) The OR team began by having discussions with upper management to identify man- agement's objectives for the study. These discussions led to developing the following defi- nition of the problem: Determine what the production rates should be for the two products in order to maximize their total profit, subject to the restrictions imposed by the limited production capacities available in the three plants. (Each product will be produced in batches of 20, so the production rate is defined as the number of batches produced per week.) Any combination of production rates that satisfies these restrictions is permitted, including producing none of one product and as much as possible of the other.
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