i'm not sure how to do this question. pls help!

i'm not sure how to do this question. pls help!

What size square should be cut out to create a box with greatest volume? What is the maximum volume?

An open box is to be made from a piece of plastic 20 by 20 inches by cutting out squares of equal size from the corners and bending up the sizes.

A cylindrical can hold 900 mL of tomatoes. Determine the measurements of the radius and the height that minimize the surface area of the can.

a diving tank manufacturer is trying to reduce costs of its manufacturing process by reducing the amount of material that is used to produce their tanks. They came to you for consultation as to how...

I am pretty sure this is an Optimization problem. I have an amount of money, and two items to spend the money on. The items must be bought at a 1:1 ratio. One item costs x amount and the other items...

A landlord manages 50 apartments in a complex downtown and charges his tenants monthly. When the rent is $850 a month, all of the apartments are rented. For every $100 increase in rent, 10 apartments...

Find the constraint and solve for y.Find a formula for the area in terms of x alone.What is the interval of optimization?Maximum area is

a cylindrical soda can is being designed to hold a volume of approximately 23.56 in3

a developer is running a freshwater pipeline from a water tower on the edge of a lake to a small resort community on an island 5 miles offshore it cost the developer 1.7 times as much to lay the pipe...

You are designing a rectangular garden. The garden will be enclosed by fencing on three sides and by a house on the fourth side. You want the garden to have an area of 288 square feet, but you want...

An open rectangular box is to be made from a 9X12 piece of tin by cutting squares of side x from the corners and folding up the sides. What should X be to maximize the volume of the box?

A 384 square meter plot of land ts to be enclosed by a fence and divided into two equal parts by another fence parallel to one pair sides. What dimensions of the outer rectangle will minimize the...

Two sides of a triangle have lengths a and b and the angle between them is angle theta. What value of angle theta will maximize the triangle's area? Use the formula A=1/2absintheta.

Brandon is on one side of a river that is 5050 m wide and wants to reach a point 300300 m downstream on the opposite side as quickly as possible by swimming diagonally across the river and then running...

Hello, newbie here. I need help bad y'all. I was given an optimization problem and it is due Tomorrow. I thought I had it figured out so I was about to turn it in until another classmate said the...

Find the dimensions of a cylinder of volume 61 cubic meters of minimal cost if the top and bottom are made of material that costs twice as much as the material for the side. r= _____m h=...

A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $9 the average attendance has been 27000. When the price dropped to $8, the average attendance rose to 32000...

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...

A box is contructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $1 per square foot and the metal for the sides costs $6 per square foot. Find...

Dianna wants to enclose a rectangular flower plot that adjoins a brick retaining wall. If she has only 30 m of decorative fencing, what should be the dimensions of the flower plot be so that she a...