The sum of three nonnegative numbers is 36. One of the numbers is twice one of...

The sum of three nonnegative numbers is 36. One of the numbers is twice one of the other numbers. None of the numbers are greater than 12. What is the maximum value of the product of these three numbers? Use x, y, z as your variables

Solutions

Expert Solution

milcah answered 1 year ago

Next > < Previous

Related Solutions

A die is thrown twice and the sum of the numbers rising is noted to be 6.

A die is thrown twice and the sum of the numbers rising is noted to be 6. Calculate the is the conditional probability that the number 4 has arrived at least once?

a)Find two positive numbers such that the sum of the first number and twice the second...

a)Find two positive numbers such that the sum of the first number and twice the second number is 108 and the product is a maximum b)figure out the dimentions of a rectangular solid that has a square base of maximum volume if its surface area is 216 square inches

Theory: A vector with nonnegative entries is called a probability vector if the sum of its...

Theory: A vector with nonnegative entries is called a probability vector if the sum of its entries is 1. A square matrix is called right stochastic matrix if its rows are probability vectors; a square matrix is called a left stochastic matrix if its columns are probability vectors; and a square matrix is called a doubly stochastic matrix if both the rows and the columns are probability vectors. **Write a MATLAB function function [S1,S2,P]=stochastic(A) which accepts a square matrix A...

The number 81 is written as a sum of three natural numbers 81 = a +...

The number 81 is written as a sum of three natural numbers 81 = a + b + c (the triple (a,b,c) is ordered; e.g., the decompositions 81 = 1 + 1 + 79 and 81 = 1 + 79 + 1 are different. Also, assume that all the decompositions have equal probability.) What is the probability that there exists a triangle with sides a, b, and c? (PLEASE EXPLAIN THE STEPS AND WHY YOU KNOW TO DO STEPS, THANKS)

1. A) How many three-digit numbers are there for which the sum of the digits is...

1. A) How many three-digit numbers are there for which the sum of the digits is at least 25? B) How many three-digit numbers can be formed if only odd numbers are allowed to be re-used Please combinatorics principles where applicable.

Use calculus to find three positive numbers that sum to 150 with the greatest possible product.

Question4: Create and use a lambda expression which calculates the sum of three numbers. Ask the...

Question4: Create and use a lambda expression which calculates the sum of three numbers. Ask the user for three numbers and use the lambda function to print the sum [6 marks] Question5: Write a generator function which generates the Fibonacci series. [0,1,2,4,8,16,…]. The Fibonacci series is a list of numbers where each number is the sum of the previous two. [3 marks] Then write the code to iterate through the first six numbers of sequence. [3 marks] Question6: Write a...

Question