At first glance, this would appear to be a multivariable problem. But in actuality, with the two equations we have to work with:
f(x,y) = xy
x - y = 100
We can rearrange the second one to find what y is equal to in terms of x:
y = 100 - x
(We can also solve x in terms of y, but solving y in terms of x is conventional).
then we can plug this in for y into f(x,y) to make it simply a function of x:
f(x) = x(100 - x) = 100x - x2
We then take the derivative of this, setting f'(x) equal to 0:
f'(x) = 0 = 100 - 2x
2x = 100
x = 100/2 = 50
This is the value of x that minimizes the product of x and y when x - y = 100. We then solve for y by plugging in the x-value into this equation:
50 - y = 100
-y = 100 - 50
y = -50
By plugging in values for which x > 50 and x < 50 into the equation f(x) = 100x - x2, we find that f(x) is indeed greater on both the intervals where x < 50 and where x > 50, proving that x = 50 is indeed an absolute minimum.
factor * factor = product
The two numbers are the multiplicand and the multiplier. The result is the product.
multiplier times multiplicand equals product or multiplicand times multiplier equals product
The product is the answer to a multiplication problem i.e. the number we get after multiplying two numbers is called their product for ex. in 7x4=28 The product is 28
I think you mean product... 4 and 9
A product is the result of multiplying 2 numbers together.
When you multiply numbers, the answer is called a product.
factor * factor = product
The 2 top numbers are called "Factors" the answer is "product"
The two numbers are the multiplicand and the multiplier. The result is the product.
the multiplication of two numbers is called a factor the answer to a multiplication problem is called a product
multiplier times multiplicand equals product or multiplicand times multiplier equals product
The product is the answer to a multiplication problem i.e. the number we get after multiplying two numbers is called their product for ex. in 7x4=28 The product is 28
In order to have a product, you must have a multiplication problem which requires two numbers to be multiplied. For example, in 2 * 3 = 6, 6 is the product.
I think you mean product... 4 and 9
multiplicand times multiplier equals product
The operands for multiplication are called 'factors'.