#33 please APPLICATIONS31. Profit The monthly profit from the sale of x units of aproduct 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 aproduct 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 oforange trees is given by Y = x(800 - x), where x is thenumber of orange trees per acre. How many trees willmaximize the yield?34. Stimulus-response One of the early results in psychologyrelating the magnitude of a stimulus x to the magnitude ofa response y is expressed by the equation40.0.01x2900 dollars.= 80x0.04x212,000 dollars.4.y = kx?where k is an experimental constant. Sketch this graphfor k = 1, k = 2, and k = 4.35. Drug sensitivity The sensitivity S to a drug is related tothe dosage x (in milligrams) byS = 1000x - x²Sketch the graph of this function and determine whatdosage gives maximum sensitivity. Use the graph todetermine the maximum sensitivity.36. Maximizing an enclosed area If 100 feet of fence isused to enclose a rectangular yard, then the resultingarea is given by- (50

The solution of problem no (33) is given in the next step.

Answered: 33. Crop yield The yield in bushels…

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

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 30E: Marking ice cream An ice cream store sells two new flavors: Fantasy and Excess. Each barrel of...

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Question

#33 please

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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