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	Forming the largest cylinder		2020-05-20
		Amanda pose la question : How do I find the maximum surface area and volume of a cylinder made up of ONE 8.5x11 piece of paper? Penny Nom lui répond.
	A cone of maximum volume		2019-08-14
		Refilwe pose la question : The slant height of a cone is 10cm. Determine the radius of the base so that the volume of the cone is a maximum Penny Nom lui répond.
	Maximize monthly revenue		2019-05-23
		a student pose la question : 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? Penny Nom lui répond.
	Maximizing the area of a two lot region		2016-04-03
		yousef pose la question : 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. Penny Nom lui répond.
	Maximizing the ticket revenue		2014-10-07
		Allen pose la question : 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? Chris Fisher lui répond.
	The popcorn box problem		2013-11-07
		Dave pose la question : 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. Walter Whiteley lui répond.
	Maximize the volume of a cone		2013-10-09
		Conlan pose la question : 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. Penny Nom lui répond.
	A max/min problem		2012-12-14
		bailey pose la question : 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) Penny Nom lui répond.
	A maximization problem		2012-04-09
		Nancy pose la question : 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. Penny Nom lui répond.
	A spherical ball in a conical wine glass		2011-10-26
		Jules pose la question : 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)). Claude Tardif lui répond.
	What is the maximum weekly profit?		2010-10-10
		Joe pose la question : 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? Stephen La Rocque and Penny Nom lui répond.
	Maximizing the volume of a cylinder		2010-08-31
		Haris pose la question : 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. Penny Nom lui répond.
	A max min problem		2010-08-19
		Mark pose la question : 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. Penny Nom lui répond.
	Maximize the floor area		2010-07-07
		shirlyn pose la question : 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. Penny Nom lui répond.
	A max min problem		2010-04-06
		Terry pose la question : 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. Harley Weston lui répond.
	Maximizing the area of a rectangle		2009-12-17
		rachel pose la question : A rectangular field is to be enclosed by 400m of fence. What dimensions will give a maximum area? Penny Nom lui répond.
	Maximize profit		2009-11-14
		Willie pose la question : Profit is the difference between Total Revenue and Total Cost. Therefore, to MAXIMIZE PROFIT you must maximize Total Revenue. True or False? Explain answer. Penny Nom lui répond.
	A rectangular pen		2009-08-13
		Kari pose la question : A rectangular pen is to be built using a total of 800 ft of fencing. Part of this fencing will be used to build a fence across the middle of the rectangle (the rectangle is 2 squares fused together so if you can please picture it). Find the length and width that will give a rectangle with maximum total area. Stephen La Rocque lui répond.
	Maximum profit		2009-05-11
		Sally pose la question : a manufacturer of dresses charges $90 per dress up to 100 units and the average production cost is $60 per dress. to encourage larger orders the company will drop the price per dress by .10 for orders in excess of 100. I need to find the largest order the company should allow with the special discount to realize maximum profit. Harley Weston lui répond.
	A discount on a charter plane		2009-05-06
		karen pose la question : a charter plane company advertises that it will provide a plane for a fare of $60. if your party is twenty or less and all passengers will receive a discount of $2 per person if the party is greater than 20. what number of passengers will maximize revenue for the company Stephen La Rocque lui répond.
	A maximum area problem		2009-01-13
		Kylie pose la question : Help me please! I don't know how or where to start and how to finish. The problem is: A window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 15 ft., find the dimensions that will allow the maximum amount of light to enter. Harley Weston lui répond.
	A sphere in a can of water		2008-12-12
		Meghan pose la question : A cylindrical can open at the top has (inside) base radius equal to 1. The height of the can is greater than 2. Imagine placing a steel sphere of radius less than 1 into the can, then pouring water into the can until the top of the sphere is just covered. What should be the radius of the sphere so the volume of water used is as large as possible? Harley Weston lui répond.
	Largest Inscribed Rectangle		2008-09-03
		astrogirl pose la question : find the shape and area of the largest rectangle that can be inscribed in a circle of a diameter a=2 Janice Cotcher lui répond.
	How many presses should be used?		2008-05-04
		Sarah pose la question : Hi! I am in Calculus and this problem is on my study guide and i just cant figure it out!? A printing company had eight presses, each of which can print 300 copies per hour. It costs $5.00 to set up each press for a run and 12.5+6n dollars to run n presses for an hour. How many presses should be used to print 6000 copies most profitably? Let h equal the number of hours used to print the 6000 copies. Harley Weston lui répond.
	The maximum area of a pizza slice		2008-04-12
		charles pose la question : A slice of pizza in the form of a sector of a circle has a perimeter of 24 inches. what value for the radius of the pizza makes the slice largest[when o is the central angle in radians, the area of the sector is given by A= r^20/2and the length on the circle is given by s=r0 Harley Weston lui répond.
	Maximize income		2008-01-18
		Chris pose la question : Lemon Motors have been selling an average of 60 new cars per month at $800 over the factory price. They are considering an increase in this markup. A marketing survey indicates that for every $20 increase, they will sell 1 less car per month. What should their new markup be in order to maximize income? Stephen La Rocque and Harley Weston lui répond.
	Maximum volume of a box		2008-01-15
		Rajesh pose la question : A square piece of a cardboard of sides ten inches has four equal peices are removed at the corners, then the sides are turned up to form an open box. What is the maximum volume such a box can have? Stephen La Rocque lui répond.
	Maximize the product		2007-11-25
		David pose la question : Hi i have this site call calcchat.com, but i dont understand how they explained this can you take a look? The question is: Direction: Find two positive numbers that satisfy the given requirements. The sum is S and the product is a maximum this is what they did 1) Let x and y be two positive numbers such that x + y = S 2)P = xy 3) = x (S - x) 4) =Sx - x^2 5)...etc. the thing i dont get is how did they go from step 2 to step 3 and also i know this sound dumb but how did they get step 2? =) Harley Weston lui répond.
	A rectangular plot of farmland		2007-11-25
		Christy pose la question : A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 800m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions? Harley Weston lui répond.
	Maximize his profit		2007-11-12
		apoorva pose la question : During the summer months Terry makes and sells necklaces on the beach. Last summer he sold the necklaces for $10 each and his sales averaged 20 per day. When he increased the price by $1, he found that he lost two sales per day. a. Find the demand function, assuming it is linear. b. If the material for each necklace costs Terry $6, what should the selling price be to maximize his profit? Penny Nom lui répond.
	Maximize profit		2007-10-22
		Dina pose la question : A meat market purchases steak from a local meat packinghouse. The meat is purchased on Monday at a price of $2 per pound, and the meat market sells the steak for $3 per pound. Any steak left over at the end of the week is sold to a local Zoo for $0.50 per pound. The demand for steak and the probabilities of occurrence are as follows: Demand Probability       20          10%       21          10%       22          15%       23          20%       24          20%       25          15%       26          10% Determine the amount of stock to maximize the profit. Draw the graph and explain. Penny Nom lui répond.
	Maximizing profits II		2007-10-05
		a student pose la question : Suppose there are three firms with the same demand function. The function is Q=1000-40P. Each firm also a a cost function. Firm 1: 4000+5Q, Firm 2: 3000+5Q, Firm 3: 3000+7Q. What price should each firm charge if it wants to maximize profits. Harley Weston lui répond.
	Maximizing profit		2007-10-05
		a student pose la question : Use the following equation to demonstrate how a firm that produces at MR=MC can also maximize its total profit. The equations to use are P=170-5Q TC=40+50Q+5Q^2 Harley Weston lui répond.
	Find the dimensions of the rectangle that will contain the greatest area		2007-08-06
		Julirose pose la question : The perimeter of a rectangle is 38 meters. Find the dimensions of the rectangle that will contain the greatest area. Penny Nom lui répond.
	The isosceles triangle of largest area with perimeter 12cm		2007-07-16
		sharul pose la question : find the dimension of isosceles triangle of largest area with perimeter 12cm Harley Weston lui répond.
	Using Heron's Formula to help maximize the area of a triangle		2007-06-27
		Claire pose la question : Given one side of a triangle is 4 cm and the ratio 1:3 for the other 2 sides. What is the largest area of the triangle? Stephen La Rocque and Harley Weston lui répond.
	Maximizing the volume of a cone given the slant length		2007-05-14
		Christina pose la question : A coffee filter for a new coffee maker is to be designed using a conical filter. The filter is to be made from a circle of radius 10cm with a sector cut from it such that the volume of coffee held in the filter is maximised. Determine the dimensions of the filter such that the volume is maximised. Stephen La Rocque and Kerstin Voigt lui répond.
	Maximize revenue		2007-03-08
		San pose la question : A movie theatre sells tickets for $8.50 each. The manager is considering raising the prices but knows that for every 50 cents the price is raised, 20 fewer people go to the movies. The equation R= -40c^2+84c describes the relationship between the cost of the tickets, c dollars, and the amount of revenue, R dollars, that the theatre makes. What price should the theatre charge to maximize revenue? This question comes from my gr.11 corresponding study homework and I not yet solve it. Please help! Thank you, I will appreciate your help. Stephen La Rocque lui répond.
	Maximize the area of the yard		2007-02-08
		Andy pose la question : I have 60 m to construct a fence adjacent to my house. What are the values of x and y that maximize the area of the yard? Penny Nom lui répond.
	Maximizing profit		2007-01-23
		Denise pose la question : Total Profit= Total Revenue-Total Cost P(x)=R(x)-C(x) Where x is the number of units sold. Find the maximum profit and the number of units that must be sold in order to get that profit. R(x)=5x C(x)=.001x^2+1.2x+60 Stephen La Rocque lui répond.
	A field with the largest possible area		2005-09-25
		Louise pose la question : A FARMER HAS FENCING OF 1000M AND WANTS A FIELD WITH THE BIGGEST POSSIBLE AREA HOW DO I GO ABOUT DOING THIS Penny Nom lui répond.
	Maximizing revenue		2005-05-13
		Jackie pose la question : 1.The manager of a 100-unit apartment complex knows from experience that all units will be occupied if the rent is $400 per month. A market survey suggests that, on the average, one additional unit will remain vacant for each $5 increase in rent. What rent should the manager charge to maximize revenue? 2.During the summer months Terry makes and sells necklaces on the beach. Last summer he sold the necklaces for $10 each and his sales averaged 20 per day. When he increased the price by $1, he found that he lost two sales per day. a. Find the demand function, assuming it is linear. b. If the material for each necklace costs Terry $6, what should the selling price be to maximize his profit? Penny Nom lui répond.
	Largest square inside a circle		2004-10-25
		Bob pose la question : my granddaughter asked what is the largest size square in inches would fit in a 60 inch circle? I believe it to be around 42.3 inches but would like to teach her how to do it mathematically. Penny Nom lui répond.
	Maximize income		2004-10-24
		Connie pose la question : A company that sells x units of a product generates an income (I, in dollars) which is a function of x. The income generated is described by the equation I = (-1/2)x^2 + 100x. Discuss how to determine the number of units that must be sold so that the company can maximize its income. What is the maximum income? Penny Nom lui répond.
	Maximizing the angle to the goal mouth		2004-05-15
		Yogendra pose la question : You are running down the boundary line dribbling the ball in soccer or hockey. Investigate where in your run the angle the goal mouth makes with your position is at a maximum. Penny Nom lui répond.
	Maximizing the area		2004-03-27
		Petey pose la question : Please could you tell me why for my coursework (where I have to find the largest area that a fence 1000m long can cover) why I should only test equilateral and isoceles triangles? We were told NOT to do right angled triangles but I was wondering why not? Penny Nom lui répond.
	Getting to B in the shortest time		2001-12-19
		Nancy pose la question : A motorist in a desert 5 mi. from point A, which is the nearest point on a long, straight road, wishes to get to point B on the road. If the car can travel 15 mi/hr on the desert and 39 mi/hr on the road to get to B, in the shortest possible time if...... A.) B is 5 mi. from A B.) B is 10 mi. from A C.) B is 1 mi. from A Penny Nom lui répond.
	A lighthouse problem		2001-11-02
		A student pose la question : A lighthouse at apoint P is 3 miles offshore from the nearest point O of a straight beach. A store is located 5 miles down the beach from O. The lighthouse keeper can row at 4 mph and walk at 3.25 mph. a)How far doen the beach from O should the lighthouse keeper land in order to minimize the time from the lighthouse to the store? b)What is the minimum rowing speed the makes it faster to row all the way? Harley Weston lui répond.
	Maximize the area		2001-10-13
		Mike pose la question : I have no clue how to do this problem. Here is what the professor gave to us: A=LW C=E(2L+2W) + I(PL) Where P = # of partitions E= cost of exterior of fence I = cost of interior of fence C = total cost of fence . . . Harley Weston lui répond.
	Maximize profit		2001-05-09
		Brian pose la question : The marginal cost for a certain product is given by MC = 6x+60 and the fixed costs are $100. The marginal revenue is given by MR = 180-2x. Find the level of production that will maximize profit and find the profit or loss at that level. Harley Weston lui répond.
	Pillows and Cushions		2000-09-27
		Fiona pose la question : The following problem was given to grade eleven algebra students as a homework assignment. To manufacture cushions and pillows, a firm uses two machines A and B. The time required on each machine is shown. Machine A is available for one full shift of 9.6 hours. Machine B is available for parts of two shifts for a total of 10.5 hours each day. Harley Weston lui répond.
	Minimizing the metal in a can		2000-05-02
		May Thin Zar Han pose la question : A can is to be made to hold 1 L of oil. Find the dimensions that will minimize the cost of the metal to manufacture the can. Harley Weston lui répond.
	Maximize		2000-03-12
		Tara Doucet pose la question : My question is Maximize Q=xy^2 (y is to the exponent 2) where x and y are positive integers such that x + y^2 ( y is to the exponent 2)=4 Harley Weston lui répond.

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