134 Answered Questions for the topic Optimization

Optimization Calculus 1

05/09/16

Calculus I Optimization
A rectangular box with square base and a fixed volume V  is to be made from two types of material. The material for the top and bottom costs t  cents per square inch and the material for the sides... more
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Optimization Calculus 1

05/09/16

Calculus I Optimization
 A wire of length 15 is cut into two pieces which are then bent into the shape of a circle of radius r  and a square of side s  . Then the total area enclosed by the circle and square is the... more
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Optimization Calculus 1

05/06/16

Calculus 1 Optimization
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window... more
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Optimization Calculus 1

05/06/16

Calculus I Optimization
A rectangular storage container with an open top is to have a volume of a  cubic meters. The length of its base is twice the width. Material for the base costs a  dollars per square meter. Material... more
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Optimization Calculus 1

05/06/16

Calculus I Optimization
A cylinder is inscribed in a right circular cone of height h  and radius (at the base) equal to r  . What are the dimensions of such a cylinder which has maximum volume?
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Optimization Calculus 1

04/18/16

Explain in paragraph form
show work and analysis   A cannon ball is fired upward with an initial  velocity of 1000 yards per second  from an initial  height of 40 ft A) find the height s(t) as a function of the time... more
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Optimization

04/06/16

optimization question
A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs $0.29 per square foot, the material for the sides costs $0.05 per square foot, and the material... more
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Optimization Calculus 1

12/03/15

i to build a box with a square base and an open front. i only has 60 sq. ft. of cardboard to use. what are the dimensions of the box with the largest volume?
i am in a calculus 1 course and we are learning about optimization 
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Optimization

05/01/15

A cylindrical can without a top is made to contain 181 in^3 of liquid. Find the dimensions that will minimize the cost of the metal to make the can.
 The Cylindrical can is without a top and is made to contain 181 in^3 of liquid. I need to find the dimensions that will minimize the cost of making the can. 
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Optimization Calculus 1

04/01/15

optimization problem
A manufacturer wishes to produce rectangular containers with square bottoms and tops, where each container has a capacity of 250 cubic inches. If the material used for the top and bottom costs... more
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Optimization Calculus 1

04/01/15

optimization problem
Your car runs out of gas on a road running north/south at a point 3 miles from the highway (which runs east/west). The nearest gas station is 6 miles east down the highway from the point your road... more
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Optimization Calculus 1

11/15/14

Calculus Optimization Problem
Optimization Problem. a home in the woods needs electricity. it costs $400 per mile to build on the road and $550 per mile to build in the forest. the home is 7 miles directly out int forest from a... more
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Optimization Calculus

11/07/14

What are the dimensions of the largest printed area?
A printer needs to make a poster that will have a total area of 200 in2 and will have 1 in margins on the sides, a 2 in margin on the top and a 1.5 in margin of the bottom. What dimensions of the... more
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Optimization

10/30/14

Optimization Problem! PLEASE HELP
Find two non-negative numbers whose sum is 21 and whose product is a minimum.
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Optimization Calculus

07/30/14

Urgent Help: Optimization Question
A building is to be built and will take the form of a semicircular shape and will have a rectangular doorway. The building will be 6 m long and the door must be at least 1 m vertically from the... more
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Optimization Calculus

07/30/14

Calculus Problem
A building is to be built and will take the form of a semicircular shape and will have a rectangular doorway. The building will be 6 m long and the door must be at least 1 m vertically from the... more
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Optimization

07/30/14

Optimization Word Problem
A building is to be built and will take the form of a semicircular shape and will have a rectangular doorway. The building will be 6 m long and the door must be at least 1 m vertically from the... more
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Optimization Calculus Word Problem

07/29/14

Optimization Word Problem
Question: A playing field is being constructed as a rectangle with semi-circles at each end. A 400m racetrack is to be built around the playing field. a) What radius of the semicircles end would... more
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Optimization Calculus Word Problem

07/29/14

Optimization Word Problem
A building is to be built and will take the form of a semicircular shape and will have a rectangular doorway. The building will be 6 m long and the door must be at least 1 m vertically from the... more
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07/29/14

(OPTIMIZATION) A company has been contracted to build a storage shed. It takes the form of a rectangle that has been positioned within a semicircle.
The base of the shed is 6 m long and the door must be at least 1 m vertically from the roof of the shed.    1. What is the largest area the doorway can have and what are its dimensions? (give the... more
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06/20/14

Optimization Problems
Liz Energy drink is to be sold in 472 mL cylindrical cans. Since it is a new product the package designers want the cans to be more visible when displayed with competing products so they want the... more
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Optimization Calculus Maximum Optimizing

06/20/14

Optimization Problems
The Eco-venture charter company offers local environmental excursions. The fare is $45 per person if up to 30 passengers sign up for the trip. (Note: The company does not offer the trip if fewer... more
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06/19/14

Optimization Problems
An open-top box is to be constructed so that its base is twice as long as it is wide. Its volume is to be 2300 cm^3. FInd the dimensions that will minimize the amount of cardboard... more
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Optimization

04/27/14

optimization
The number y (in millions) of VCRs in use in the United States for the years 1990 through 2003 can be modeled by y=-0.17t^2+4.3t+60., where t=0 represents 1990 a. Using your graphing calculator to... more
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Optimization

04/24/14

optimization
A certain company produces a certain item. The profit, in thousands of dollars, generated by selling x units of this item, is given by P(x)=-.001x^3+3x, where x is measured in thousands.   a.... more
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