Answer:
x = y = 22
Step-by-step explanation:
It would help to know your math course. Do you know any calculus? I'll assume not.
Equations
x + y = 44
Max = xy
Solution
y = 44 - x
Max = x (44 - x) Remove the brackets
Max = 44x - x^2 Use the distributive property to take out - 1 on the right.
Max = - (x^2 - 44x ) Complete the square inside the brackets.
Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.
Max = -(x - 22)^2 + 484
The maximum occurs when x = 22. That's because - (x - 22) becomes 0.
If it is not zero it will be minus and that will subtract from 484
x + y = 44
xy = 484
When you solve this, you find that x = y = 22 If you need more detail, let me know.
Alright so, since it says that he eats at least $10 dollars no matter what we can basically leave that alone. next week have $3.50 for every new customer (x) so we could write this as $3.50x. and lastly we have Y the amount he will earn every week.
so the equation would be $10+$3.50x=Y.
if we had more information we might be able to solve for Y but since it doesn't tell us how many he sold we would leave it like that.
Answer:
n(1) = 11, n(2) = 12, n(3) = 13, n(4) = 14
Step-by-step explanation:
