131 Answered Questions for the topic Optimization

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

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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Optimization

04/24/14

optimization
Jane wants to build a rectangular shaped dog pen. She has 500 feet of fencing and she wants to make the area as large as possible. a. What should the dimensions be to maximize the area? b. Could... more
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04/02/14

Graphing/Optimization
Find the point on the graph of y=x2 +1 that is closest to the point (8, 3/2).
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04/02/14

Optimization Problems
Two parabolas y=16-3x2 and y=x2-9 are drawn. A rectangle is contructed with sides parallel to the coordinate axes with the two upper vertices on the graph of y=16-3x2 and the two lower vertices on... more
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