Question

Floyd’s Bumpers has distribution centers in Lafayette, Indiana; Charlotte, North Carolina; Los Angeles, California; Dallas, Texas; and Pittsburgh, Pennsylvania. Each distribution center carries all products sold. Floyd’s customers are auto repair shops and larger auto parts retail stores. You are asked to perform an analysis of the customer assignments to determine which of Floyd’s customers should be assigned to each distribution center. The rule for assigning customers to distribution centers is simple: A customer should be assigned to the closest center. The worksheet Floyds in the provided datafile contains the distance from each of Floyd’s 1,029 customers to each of the five distribution centers. Your task is to build a list that tells which distribution center should serve each customer. The following functions will be helpful:

=MIN(array).

The MIN function returns the smallest value in a set of numbers. For example, if the range A1:A3 contains the values 6, 25, and 38, then the formula =MIN(A1:A3) returns the number 6, because it is the smallest of the three numbers:

=MATCH(lookup_value, lookup_array, match type).

The MATCH function searches for a specified item in a range of cells and returns the relative position of that item in the range. The lookup_value is the value to match, the lookup_array is the range of search, and match type indicates the type of match (use 0 for an exact match).

For example, if the range A1:A3 contains the values 6, 25, and 38, then the formula =MATCH(25,A1:A3,0) returns the number 2, because 25 is the second item in the range.

=INDEX(array, column_num).

The INDEX function returns the value of an element in a position of an array. For example, if the range A1:A3 contains the values 6, 25, and 38, then the formula =INDEX(A1:A3, 2) 5 25, because 25 is the value in the second position of the array A1:A3. (Hint: Create three new columns. In the first column, use the MIN function to calculate the minimum distance for the customer in that row. In the second column use the MATCH function to find the position of the minimum distance. In the third column, use the position in the previous column with the INDEX function referencing the row of distribution center names to find the name of the distribution center that should service that customer.)

Click on the datafile logo to reference the data.

(Hint: The INDEX function may be used with a two-dimensional array: =INDEX(array, row_num, column_num), where array is a matrix, row_num is the row numbers and column_num is the column position of the desired element of the matrix.)

Floyd's Bumpers pays a transportation company to ship its product to its customers. Floyd's Bumpers ships full truckloads to its customers. Therefore, the cost for shipping is a function of the distance traveled and a fuel surcharge (also on a per mile basis). The cost per mile is $2.54 and the fuel surcharge is $.56 per mile. The worksheet May in the provided datafile contains data for shipments for the month of May (each record is simply the customer zip code for a given truckload shipment), as well as the distance table from the distribution centers to each customer. Use the VLOOKUP function to retrieve the distance traveled for each shipment from the exercise completed above, and calculate the charge for each shipment. What is the total amount that Floyd's Bumpers spends on these May shipments?

If required, round your answers to two decimal places.

Answer 1

IN THE FIRST QUESTION WE HAVE TO FIND THE MINIMUM DISTANCE FROM THE DISTRIBUTION CENTER AND THEN MAKE A LIST ACCORDING TO IT. IN ORDER TO FIND THE DISTRIBUTION CENTER ACCORDING TO THE REQUIRED PARAMETERS WE HAVE TO FIRST FIND THE MINIMUM OF THE DATA GIVEN TO US IN A SINGLE ROW

WE FIND THE MINIMUM BY USING MIN FUNCTION AS =MIN(B3:F3) // HERE B3:F3 IS THE RANGE OF THE DATA FROM WHICH WE HAVE TO FIND THE MINIMUM.

AFTER FINDING THE MINIMUM WE HAVE TO KNOW WHICH COLUMN IT BELONGS TO FROM THE RANGE. WE FIND IT BY USING MATCH FUNCTION. WE SIMPLY PASS THE ANSWER WE FOUND FROM MIN FUNCTION IN THE MATCH FUNCTION AS AN ARGUMENT AND PROVIDED THE REQUIRED RANGE AND 0 FOR EXACT MATCH

MATCH(MIN(B3:F3), B3:F3, 0)

THEN WE PASS THIS INTO INDEX FUNCTION TO KNOW THE HEADER COLUMN i.e NAME OF THE DISTRIBUTION CENTER.

WE HAVE USED $B$3 FOR THE ABSOLUTE COLUMN AND NOT THE RELATIVE ONE, SO IT WILL NOT CHANGE WHEN WE COPY THE FORMULA TO DIFFERENT CELL.

IN THE SECOND PROBLEM WE SIMPLY HAVE TO LOOK MINIMUM VALUE IN THE FIRST SHEET USING VLOOKUP AND THEN MULTIPLY THAT MINIMUM VALUE WITH RATE TO GET THE SHIPPING CHARGE AND THEN ADD THEM TOGETHER TO GET THE TOTAL SUM.

VLOOKUP HAS 4 ARGUMENT

FIRST ARGUMENT IS THE VALUE U R LOOKING FOR, SECOND IS THE TABLE ARRAY MEANS IN THE RANGE U ARE LOOKING FOR, THIRD IS THE COLUMN INDEX, AND 4TH DEFINES WHETHER PARTIAL MATCH OR EXACT MATCH (FALSE MEANS EXACT MATCH)

Sheet1!A3 -> it means A3 cell from sheet1

its hard to write thats why i entered in excel and copy it and paste it.....it may be helpful to you ...thank you