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33. Crop yield The yield in bushels from a grove of orange trees is given by Y = x(800 - x), where x is the number of orange trees per acre. How many trees will maximize the yield? %3D

33. Crop yield The yield in bushels from a grove of orange trees is given by Y = x(800 - x), where x is the number of orange trees per acre. How many trees will maximize the yield? %3D

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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APPLICATIONS 31. Profit The monthly profit from the sale of x units of a product is given by P = 16x - (a) What level of production maximizes profit? (b) What is the maximum possible profit? 32. Profit The monthly profit from the sale of x units of a product is P (a) What level of production maximizes profit? (b) What is the maximum possible profit? 33. Crop yield The yield in bushels from a grove of orange trees is given by Y = x(800 - x), where x is the number of orange trees per acre. How many trees will maximize the yield? 34. Stimulus-response One of the early results in psychology relating the magnitude of a stimulus x to the magnitude of a response y is expressed by the equation 40. 0.01x2 900 dollars. = 80x 0.04x2 12,000 dollars. 4. y = kx? where k is an experimental constant. Sketch this graph for k = 1, k = 2, and k = 4. 35. Drug sensitivity The sensitivity S to a drug is related to the dosage x (in milligrams) by S = 1000x - x² Sketch the graph of this function and determine what dosage gives maximum sensitivity. Use the graph to determine the maximum sensitivity. 36. Maximizing an enclosed area If 100 feet of fence is used to enclose a rectangular yard, then the resulting area is given by - (50
Transcribed Image Text:APPLICATIONS 31. Profit The monthly profit from the sale of x units of a product is given by P = 16x - (a) What level of production maximizes profit? (b) What is the maximum possible profit? 32. Profit The monthly profit from the sale of x units of a product is P (a) What level of production maximizes profit? (b) What is the maximum possible profit? 33. Crop yield The yield in bushels from a grove of orange trees is given by Y = x(800 - x), where x is the number of orange trees per acre. How many trees will maximize the yield? 34. Stimulus-response One of the early results in psychology relating the magnitude of a stimulus x to the magnitude of a response y is expressed by the equation 40. 0.01x2 900 dollars. = 80x 0.04x2 12,000 dollars. 4. y = kx? where k is an experimental constant. Sketch this graph for k = 1, k = 2, and k = 4. 35. Drug sensitivity The sensitivity S to a drug is related to the dosage x (in milligrams) by S = 1000x - x² Sketch the graph of this function and determine what dosage gives maximum sensitivity. Use the graph to determine the maximum sensitivity. 36. Maximizing an enclosed area If 100 feet of fence is used to enclose a rectangular yard, then the resulting area is given by - (50
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