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...

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...

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...

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...

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...

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...

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.

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...

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...

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...

f(x) = 5sin (-4x)-3 in the domain 0<x<2 pi i know how to find the derivative f'(x) = -20 cos (-4x) but i am unsure as to how you solve this for critical values: 0=-20cos(-4x) (maximum...

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...

You want to produce a cylindrical water container with a capacity of 350mL. What dimensions will minimize the amount of material required for the container?

A metal wire, 40 cm long, is cut in two and each piece bent to form a square. If the sum of their areas is 58 cm^2, who long is each piece of wire?

Hey this is one question ive been struggling with in calc, if anyone could help that would be great thanks

Given two numbers with a difference of 14, find the minimum for the sum of 4 times the larger number and the square of the smaller number.

lite manufactures two types of light: type A is a solar-powered light; type B requires batteries. In one day, the company can make at most 55 of type A and 65 of type B. Type A requires 4 hours to...

A cylinder with open top with radius r and height h has surface area 8 cm^2 . Find the largest possible volume of such a cylinder?

The following model represents an optimization problem. Determine the maximum solution. What is the Optimization model: Restrictions: x, y is an element of real numbers Constraints: x≥0 y≥0 x+2y≤6 2x-y<3 Objective...