1. (2 points) According to postal regulations, a carton is classified as oversized if the sum...
U.S. postal regulations state that the sum of the length (the longest dimension of a package) and the girth (distance around a cross-section of the package) of a package may be no more than 108 inches. Find the greatest possible volume for a package fitting each of the following descriptions: 1. The package's cross-section is a square. 2. The package's cross-section is a regular hexagon 3. The package's cross-section is a regular octagon 4 The package's cross-section is a circle...
Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 96 in. Find the dimensions of a rectangular package that has a square cross section and the largest volume that may be sent via priority mail. Hint: The length plus the girth is 4x + h (see the figure below).
A packaging company will only accept packages for shipment if the sum of its height and perimeter of the base is not more than 270 inches. Part 1: Suppose the box you want to ship has a square base (meaning that the dimensions of the bottom of the box are equal). If you choose a box that has a length of 15 inches, how tall can the box be? (Don't forget to include units) Part 2: What is the volume...
Show work please Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
i need help with number 3&4 and the answer is in red i just need to know how to work the problem (a) y (b) y=-x3 + 6x2-9x + 3 2. The sum of two nonnegative numbers is 36 (a) Find the two numbers if the differ ence of their square roots is to be as large as possible. 0 and 36 (b) Find the two numbers if the sum of their square roots is to be as large as...
ASAP PLEASE! Math 112 Written Homework: Polynomial Functions Student Name: Instructor S.Andrews 1. A packa perimeter of the ging company will only accept packages for shipment if the sum of its height and base is not more than 260 inches. Write a function to represent ight and perimeter the volume of a box with a square base, with sum of the he of the base equal to 260 inches. Label the provided diagram with your variables. What dimensions of such...
A milk carton is shaped like a tall box with a triangular prism on top. The sides of the top section are isosceles triangles. This particular milk carton has a 5 inch × 5 inch square base, and is 11 inches tall. (See the picture.) in 8 in Suppose you're filling the carton with liquid at a rate of 10 inches3 per minute. In this problem, you'll figure out the rate of change of the height of the liquid in...
7-19 DEO Finding Numbers In Exercises 5-10, find E u two positive numbers that satisfy the given DEP requirements 5. The sum is S and the product is a maximum. 6. The product is 185 and the sum is a minimum. 7. The product is 147 and the sum of the first number plus three times the second number is a minimum. 8. The sum of the first number squared and the second number is 54 and the product is...
Student Name: Instructor Math 112 Unit 2 Written Homework 4: Polynomial Functions Math 112 Section:_ Directions Show all work, and answer each question that is asked Explanations should be given in complete sentences. All graphs should be drawn accurately on this sheet, and be fully labeled. Apple iPhone sales (in millions of units) between 2007 and 2015 can be closely modeled by the polynomial function y f(t)--0.4442t3 +7.0873t2 -0.2478t +3.9307, where t is time in years since 2007. Graph this...
1) An airline requires that the total outside dimensions (length + width + height) of a checked bag not exceed 56 inches, Suppose you want to check a bag whose height equals its width. What is the largest volume bag of this shape that you can check on a flight? a) Length (in)? b) Width(in)? c) Height (in)? 2) Assume that It costs Apple approximately C(x) = 16,900 + 100x + 0.01x^2? dollars to manufacture x 32G8 iPods in a...