We found 69 items matching your search.
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Forming the largest cylinder |
2020-05-20 |
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From Amanda:
How do I find the maximum surface area and volume of a cylinder made up of ONE 8.5x11 piece of paper?
Answered by Penny Nom. |
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A cone of maximum volume |
2019-08-14 |
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From Refilwe:
The slant height of a cone is 10cm. Determine the radius of the base so that the volume of the cone is a maximum
Answered by Penny Nom. |
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Maximize monthly revenue |
2019-05-23 |
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From a student:
A real-estate firm owns 100 garden type apartments. At RM400 per month, each apartment can be rented. However, for each RM10 per month increase, there will be two vacancies with no possibility of filling them. What rent per apartment will maximize monthly revenue?
Answered by Penny Nom. |
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Maximizing the area of a two lot region |
2016-04-03 |
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From yousef:
A man wishes to enclose two separate lots with 300m of fencing. One lot is a square and the other a rectangle whose length is twice its width. Find the dimensions of each lot if the total area is to be a minimum.
Answered by Penny Nom. |
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Maximizing the ticket revenue |
2014-10-07 |
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From Allen:
An airplane whose capacity is 100 passengers is to be chartered for a flight to Europe. The fare is to be $150 per person, if 60 people buy tickets. However, the airline agrees to reduce the fare for every passenger by $1 for each additional ticket sold. How many tickets should be sold to maximize the ticket revenue for this flight?
Answered by Chris Fisher. |
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The popcorn box problem |
2013-11-07 |
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From Dave:
We know that calculus can be used to maximise the volume of the tray created when cutting squares from 4-corners of a sheet of card and then folding up.
What I want is to find the sizes of card that lead to integer solutions for the size of the cut-out, the paper size must also be integer. EG 14,32 cutout 3 maximises volume as does 13,48 cutout 3.
I have done this in Excel but would like a general solution and one that does not involve multiples of the first occurence, as 16, 10 cutout 2 is a multiple of 8,5 cutout 1.
Answered by Walter Whiteley. |
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Maximize the volume of a cone |
2013-10-09 |
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From Conlan:
Hi I am dong calculus at school and I'm stumped by this question:
A cone has a slant length of 30cm. Calculate the height, h, of the cone
if the volume is to be a maximum.
If anyone can help me it would be greatly appreciated.
thanks.
Answered by Penny Nom. |
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A max/min problem |
2012-12-14 |
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From bailey:
A right angled triangle OPQ is drawn as shown where O is at (0,0).
P is a point on the parabola y = ax – x^2
and Q is on the x-axis.
Show that the maximum possible area for the triangle OPQ is (2a^3)/(27)
Answered by Penny Nom. |
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A maximization problem |
2012-04-09 |
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From Nancy:
After an injection, the concentration of drug in a muscle varies according to a function of time, f(t). Suppose that t is measured in hours and f(t)=e^-0.02t - e^-0.42t. Determine the time when the maximum concentration of drug occurs.
Answered by Penny Nom. |
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A spherical ball in a conical wine glass |
2011-10-26 |
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From Jules:
A heavy spherical ball is lowered carefully into a full conical wine
glass whose depth is h and whose generating angle (between the axis
and a generator) is w. Show that the greatest overflow occurs when the
radius of the ball is (h*sin(w))/(sin(w)+cos(2w)).
Answered by Claude Tardif. |
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What is the maximum weekly profit? |
2010-10-10 |
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From Joe:
A local artist sells her portraits at the Eaton Mall.
Each portrait sells for $20 and she sells an average of 30 per week.
In order to increase her revenue, she wants to raise her price.
But she will lose one sale for every dollar increase in price.
If expenses are $10 per portrait, what price should be set to maximize the weekly profits?
What is the maximum weekly profit?
Answered by Stephen La Rocque and Penny Nom. |
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Maximizing the volume of a cylinder |
2010-08-31 |
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From Haris:
question: the cylinder below is to be made with 3000cm^2 of sheet metal. the aim of this assignment is to determine the dimensions (r and h) that would give the maximum volume.
how do i do this?
i have no idea. can you please send me a step-to-step guide on how t do this?
thank you very much.
Answered by Penny Nom. |
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A max min problem |
2010-08-19 |
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From Mark:
a rectangular field is to be enclosed and divided into four equal lots by fences parallel to one of the side. A total of 10000 meters of fence are available .Find the area of the largest field that can be enclosed.
Answered by Penny Nom. |
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Maximize the floor area |
2010-07-07 |
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From shirlyn:
A rectangular building will be constructed on a lot in the form of a right triangle with legs
of 60 ft. and 80 ft. If the building has one side along the hypotenuse,
find its dimensions for maximum floor area.
Answered by Penny Nom. |
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A max min problem |
2010-04-06 |
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From Terry:
The vertex of a right circular cone and the circular edge of its base lie on the surface of a sphere with a radius of 2m. Find the dimensions of the cone of maximum volume that can be inscribed in the sphere.
Answered by Harley Weston. |
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