question archive Question: Your boss hands you the monthly data that show the number of orders coming in to and out of the warehouse
Question: Your boss hands you the monthly data that show the number of orders coming in to and out of the warehouse
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Question:
Your boss hands you the monthly data that show the number of orders coming in to and out of the warehouse. The data are in the table below. Explain to your boss, in complete sentences, the solution to this system and what the solution represents.
Month No. of orders in No. of orders out
January (1) 3 1
February (2) 4 3
March (3) 5 5
April (4) 6 7
This is my answer thus far:
If the number of orders coming in is more than what the warehouse is producing, this could be from production issues or lack of customers. In the later months, orders start to go out at an increased rate. At the current rate, by the 5th month of graphing, you would see the intercept resulting in even input vs. output. Keeping up with the trend by month 6th, you could see profit or an issue with stock.
Sorry if this does not make sense. The example is weird. Orders in and orders means this warehouse is not producing. The wording is off, and I cannot get based on that.
Instructor comment: Elijah, I like how you analyzed the situation given the information.
You can think about this information as two different functions. The first function gives you the orders in, and the second function gives you the orders out.
Finding a solution means finding a point that works for both functions.
If the month is your x (input) for each function, at what point did the orders in and orders out equal one another?
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First, we have the variable for the number of orders coming in the warehouse. We will denote this as x. Next, we have the variable for the number of orders coming out of the warehouse. We will denote this as y. Now, for a better understanding, we will plot this data.
Now, the next thing you need to understand here is that the given data can be represented as a single function. This means that for a given value of x (no of orders in), there is an equivalent value of y(no of orders out).
By analyzing the data, in order for the warehouse to keep up with its production, the no of orders coming in, should be equal to the number of order coming out. This means that the solution to this system is at (5,5). At this point, the orders coming in, will be equal to the orders coming out which is an indication that the production efficiency of the warehouse is at equilibrium.
If the no of orders coming in is below 5, the warehouse is inefficient because the number of orders coming out is less than that of orders coming in. On the other hand, if the warehouse starts to receive orders above 5, the warehouse is becoming efficient, as the number of orders coming out is now greater than that of orders coming in.
I hope you've understood something from my explanation! Feel free to ask me for some clarification if you have something you don't understand.
Please see the attached file for the complete solution
