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CAn anyone plz help me with algebra 2 problems???



Member since: February 04, 2006
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AnimalsFan
S Algebra 2 Problems!!???
Can you plz help me on these problems? Can you explain and if ur really nice, can you give me the answer? (if it's not too much to ask)

1) Find the total profit, the maximum value of the total profit, and the value of x at which it occurs when the recenue is given by R(x)=210x-x^2 and the cost is given by C(x)=5500+8x. (Answer all three letters)
A) The total profit, P(x)= -x^2 + ___x - 5500.
B) the maximum value of the total profit is ___. (round to the nearest integer)
C) The value of x at which the maximum profit occurs is ___.(Round to the nearest integer)

2) Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.8x^2 -1.6x + 4.527, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle? (plz, round to the nearest integer).

Hi,

1) Find the total profit, the maximum value of the total profit, and the value of x at which it occurs when the revenue is given by R(x)=210x-x虏 and the cost is given by C(x)=5500+8x. (Answer all three letters)
A) The total profit, P(x)= -x^2 + 202x - 5500.

This is from 210x - x虏 - (5500 + 8x) = -x虏 + 202x - 5500

B) the maximum value of the total profit is $4701. (round to the nearest integer)

This is from finding the maximum of y = -x虏 + 202x - 5500
This is done by using a calculator and the maximum command or by finding the axis of symmetry to find the x value to plug in to find the y value of the vertex.

C) The value of x at which the maximum profit occurs is 101.(Round to the nearest integer)

This is from finding the maximum of y = -x虏 + 202x - 5500
This is done by using a calculator and the maximum command or by finding the axis of symmetry to find the x value . The axis of symmetry is at x = -b/(2a) = -202/(2*-1) = 101.

O^O^O^O^O^O^O^O
2) Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)=0.8x^2 -1.6x + 4.527, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle? (plz, round to the nearest integer).

This is done by finding the axis of symmetry to find the x value . The axis of symmetry is at x = -b/(2a) = -(-1.6)/(2*.8) = 1.6/1.6 = 1. This means x = 1 which represents 100 bicycles should be built to minimize their cost.


3) A carpenter is building a rectangular room with a fixed perimeter of 148 ft. What dimensions would yield the maximum area? What is the max. area?
(Plz, answer the 3 letters)
A) the length that would yield the max. area is 37ft.
B) The width that would yield the max. area is 37ft.
C) The Max. area is 1369 sq ft.

If x = length, then 74 - x is the width, so the area is:

Y = x(74 - x) or Y = 74x - x虏

The axis of symmetry is x = -b/(2a) = -74/(2*-1) - -74/-2 = 37

This shows the length is 37 ft.
The width, 74 - x, = 37 feet.
The area is 37 x 37 = 1,369 sq. ft.


I hope this helps!! :-)
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