Table of Contents
- 1 What is the largest possible product of a set of positive integers whose sum is 20?
- 2 What is the maximum value of the product of two positive integers adding up to 15?
- 3 What is the greatest number you can make by multiplying a pair of whole numbers that sum to 20?
- 4 What is a maximum product in math?
- 5 What does it mean when the product of the numbers is negative positive?
What is the largest possible product of a set of positive integers whose sum is 20?
Two possible set of values are {10,10} and {2,4,6,8}. They both add to 20 and their product is 100 and 384 respectively. Suman Saurav T.
What is the maximum value of the product of two positive integers adding up to 15?
The numbers that give the maximum are x=a=10, and 15-a=15–10=5. , Just interested in math is all. Kinda a hobby. The max is 500, the numbers are 5 and 10.
When sum is constant product is maximum?
If the sum of two positive numbers is constant, then show that their product is maximum when they are equal. If then sum of two positive numbers in constant then show that their product is maximum when they are equal.
What is maximum product?
product: multiplication. positive numbers: numbers greater than zero (which, by the way, is neither positive nor negative) maximum: the greatest value; a function has, at most, one value of the dependent variable for each allowable value of the input variables.
What is the greatest number you can make by multiplying a pair of whole numbers that sum to 20?
× . = … 7 + 8 = 15, a whole number 5 + 5 = 10, a whole number 0 + 15 = 15, a whole number . + .
What is a maximum product in math?
Is sum a constant?
The sum of a constant is equal to N times the constant. then the summation sign may be taken inside the parentheses. then the addition and subtraction signs should be reversed. then the constant is multiplied times the sum of the variable….Exceptions to the General Rule.
| X | 5 * X |
|---|---|
| 7 | 35 |
| 6 | 30 |
| 8 | 40 |
| 33 | 165 |
What two integers having a sum equal to 66 will have a maximum product?
Explanation: From the text we know, that we are looking for such numbers x and y which have the sum of 66 and the maximum product. So we can write that one number is x and the other 66−x . f(x)=x⋅(66−x) has maximum value.
What does it mean when the product of the numbers is negative positive?
When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive. For the denominator (-3) to become the numerator (-12), you would have to multiply it by 4, therefore the quotient is 4.