A manufacturer of kitchen appliances is preparing to set the price on a new blender. Demand is thought to depend on the price and is represented by the model D=2,500-5P. The accounting department estimates that the total costs can be represented by C=4,000+ 3D. Develop a model for the total profit. Implement the model on a spreadsheet and use nonlinear optimization with Solver to find the price that maximizes profit. The price that maximizes profit is P = $ (Round to the nearest cent as needed.).

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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A manufacturer of kitchen appliances is preparing to set the price on a new blender. Demand is thought to depend on the price and is represented by the model D = 2,500-5P. The accounting department estimates that the total costs can be represented by
C = 4,000 + 3D. Develop a model for the total profit. Implement the model on a spreadsheet and use nonlinear optimization with Solver to find the price that maximizes profit.
The price that maximizes profit is P = $
(Round to the nearest cent as needed.)
C
Transcribed Image Text:A manufacturer of kitchen appliances is preparing to set the price on a new blender. Demand is thought to depend on the price and is represented by the model D = 2,500-5P. The accounting department estimates that the total costs can be represented by C = 4,000 + 3D. Develop a model for the total profit. Implement the model on a spreadsheet and use nonlinear optimization with Solver to find the price that maximizes profit. The price that maximizes profit is P = $ (Round to the nearest cent as needed.) C
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