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The Orange Corporation has a new product, Alpha, it is planning to launch. Market research has led them to conclude that the demand projections can be defined by a quadratic function as the one shown below: d(m, n) = 15-0.2(m-5)² -0.4(n-4)² where, m and n denote the two raw materials that will be needed for production. These have been estimated to cost P15 and P10, respectively. Furthermore, Orange estimates that it can sell Alpha at P150 upon launching. How many raw materials should Orange prepare for the production of Alpha in order to optimize the profit from this product? Round off to two decimal places m= n= units Profit= units Given the optimal production level, what is the expected profit? Round off to two decimal places pesos

The Orange Corporation has a new product, Alpha, it is planning to launch. Market research has led them to conclude that the demand projections can be defined by a quadratic function as the one shown below: d(m, n) = 15-0.2(m-5)² -0.4(n-4)² where, m and n denote the two raw materials that will be needed for production. These have been estimated to cost P15 and P10, respectively. Furthermore, Orange estimates that it can sell Alpha at P150 upon launching. How many raw materials should Orange prepare for the production of Alpha in order to optimize the profit from this product? Round off to two decimal places m= n= units Profit= units Given the optimal production level, what is the expected profit? Round off to two decimal places pesos

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The Orange Corporation has a new product, Alpha, it is planning to launch. Market research has led them to conclude that the demand projections can be defined by a quadratic function as the one shown below: d(m, n) = 15-0.2 (m-5)² -0.4(n-4)² where, m and n denote the two raw materials that will be needed for production. These have been estimated to cost P15 and P10, respectively. Furthermore, Orange estimates that it can sell Alpha at P150 upon launching. How many raw materials should Orange prepare for the production of Alpha in order to optimize the profit from this product? Round off to two decimal places m= n= units Profit = units Given the optimal production level, what is the expected profit? Round off to two decimal places pesos
Transcribed Image Text:The Orange Corporation has a new product, Alpha, it is planning to launch. Market research has led them to conclude that the demand projections can be defined by a quadratic function as the one shown below: d(m, n) = 15-0.2 (m-5)² -0.4(n-4)² where, m and n denote the two raw materials that will be needed for production. These have been estimated to cost P15 and P10, respectively. Furthermore, Orange estimates that it can sell Alpha at P150 upon launching. How many raw materials should Orange prepare for the production of Alpha in order to optimize the profit from this product? Round off to two decimal places m= n= units Profit = units Given the optimal production level, what is the expected profit? Round off to two decimal places pesos
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