Question
The formula above is used to estimate the ideal quantity, Q, of items a store manager needs to order given the demand quantity, d; the setup cost per order, K; and the storage cost per item, h. Which of the following correctly expresses the storage cost per item in terms of the other variables?
Hint:
Hint:
The storage cost per item is given by h. We need to modify the given equation to find an expression for h. The first step is to remove the square root by squaring both sides. Next, we just need to bring h on the left-hand side and the rest of the quantities on the right-hand side. This should give us the required result
The correct answer is:
Given,
where
Q is the quantity,
K is the setup cost per order,
d is the demand quantity,
h is the storage cost per item.
Now
Squaring both sides, we have
Multiplying h both sides,
Dividing by 
on both sides, we get
Thus, the value of h in terms of other variables is given by,
The correct option is C)
Note:
Whenever there is an equation with a square root involved, first we try to remove that square root to get a clear picture of the equation. It is easier to operate on an equation with no square roots or log or inverse.
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Find the value of 'x' in the following expressions:(b) 4x+0.9= 10
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In the xy-plane, the point (2, 6) lies on the graph of 
where k is a constant. Which of the following points must also lie on the graph?
Note:
Whenever there is an unknown constant in the given equation, we must always try to find the value of that constant first with the help of the given conditions. Another way to solve this question is; observe that the equation can be written as x y = k , that is, the product of the x co-ordinate and y co-ordinate always remains a constant. As the point (2, 6) satisfies it, we get that constant to be 12. So we check for which of the points in the options, the product of x co-ordinate and y co-ordinate is 12.
In the xy-plane, the point (2, 6) lies on the graph of where k is a constant. Which of the following points must also lie on the graph?
Note:
Whenever there is an unknown constant in the given equation, we must always try to find the value of that constant first with the help of the given conditions. Another way to solve this question is; observe that the equation can be written as x y = k , that is, the product of the x co-ordinate and y co-ordinate always remains a constant. As the point (2, 6) satisfies it, we get that constant to be 12. So we check for which of the points in the options, the product of x co-ordinate and y co-ordinate is 12.
, where a is a positive constant and
