Find a unit vector v1 and a unit vector v2 such that the term: vT[6 -2; -2 6]v is minimized and maximized, respectively. What are the minimum and maximum values...

Find a unit vector v1 and a unit vector v2 such that the term: vT[6 -2; -2 6]v is minimized and maximized, respectively. What are the minimum and maximum values...

Design a fuel tank that will hold 300 liters of fuel. The shape must be a cylindrical tube with two rounded ends. The side wall (cylinder part) costs $.10 per cm^2 to make while the rounded tops cost...

A large department store needs at least 3600 labor hours converted per week. It employs full time staff 40hr/week and part time staff 25hr/week. The cost to employ a full time employee is $25/hr and...

A clothing store sells 2400 pairs of white socks per year. It costs $0.04 to store one pair of white socks for one year. To reorder, there is a fixed cost of $0.75, plus $0.02 for each pair of socks...

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 bicycle plant assembles 1000 bicycles per month. Each production run costs $1200, and it costs $20 to store a bicycle for a month. How many production runs should the plant use to minimize inventory...

(1 pt) A small resort is situated on an island off a part of the coast of Mexico that has a perfectly straight north-south shoreline. The point P on the shoreline that is closest to the island is...

A small resort is situated on an island off a part of the coast of Mexico that has a perfectly straight north-south shoreline. The point P on the shoreline that is closest to the island is exactly...

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...

A soup can of volume 500 cm3 is to be constructed. The material for the top costs 0.4 cents/cm2 while the material for the bottom and sides costs 0.2 cents/cm2. Find the dimensions that...