i am in a calculus 1 course and we are learning about optimization
i am in a calculus 1 course and we are learning about optimization
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...
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.
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 twice...
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 than...
Find two non-negative numbers whose sum is 21 and whose product is a minimum.
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...
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 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...
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 roof...
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...
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 roof...
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 roof...
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 roof...
A cylindrical can is to have a volume of 1L. a) Find the height and radius of the can that will minimize the surface area b) What is the ratio of the height to the diameter? Do pop cans...
A rectangular piece of paper with perimeter 100 cm is to be rolled to forma cylindrical tube. Find the dimensions of the paper that will produce a tube with maximum volume.
There are 50 apple trees in an orchard, and each tree produces an average of 200 apples each year. For each additional tree planted within the orchard, the average number of apples produces drop by...
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 required. Make: Length...
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...
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...