Question

The chart below displays the total number of online queries received by the tech company Citrus and the percentage of these queries resolved each day from Monday to Friday. Use the drop-down menus to fill in the blanks in each of the following statements based on the information given by the graph.

Chart Data - Left Side (% Resolved):

Mon: Quality(20), Quantity(10), Delivery(10)
Tue: Quality(40), Quantity(60), Delivery(30)
Wed: Quality(20), Quantity(50), Delivery(20)
Thu: Quality(30), Quantity(40), Delivery(40)
Fri: Quality(40), Quantity(50), Delivery(50)
Chart Data - Right Side (Total Queries):

Mon: Quality(100), Quantity(100), Delivery(100) → Total 300
Tue: Quality(150), Quantity(150), Delivery(100) → Total 400
Wed: Quality(100), Quantity(100), Delivery(100) → Total 300
Thu: Quality(200), Quantity(100), Delivery(200) → Total 500
Fri: Quality(150), Quantity(100), Delivery(150) → Total 400
Statement 1: The graph shows that the maximum number of queries about Delivery is resolved on \underline{\hspace{1cm}.}
Statement 2: The graph shows that on Friday, the total number of online queries resolved for all three parameters was the \underline{\hspace{1cm} highest.}

Hint:

For dual-axis charts or charts combining different data types (like percentages and absolute numbers), be very careful to use the correct data for each part of the calculation. Always multiply the percentage by its corresponding base total to find the absolute number.

Answer 1

Part 1: Maximum number of Delivery queries resolved.
Step 1: We need to calculate the *number* of Delivery queries resolved each day. This is found by multiplying the total number of Delivery queries by the percentage of Delivery queries resolved for that day.

Monday: Total Delivery Queries = 100. % Resolved = 10%. Number Resolved = \(100 \times 0.10 = 10\).
Tuesday: Total Delivery Queries = 100. % Resolved = 30%. Number Resolved = \(100 \times 0.30 = 30\).
Wednesday: Total Delivery Queries = 100. % Resolved = 20%. Number Resolved = \(100 \times 0.20 = 20\).
Thursday: Total Delivery Queries = 200. % Resolved = 40%. Number Resolved = \(200 \times 0.40 = 80\).
Friday: Total Delivery Queries = 150. % Resolved = 50%. Number Resolved = \(150 \times 0.50 = 75\).
Step 2: Compare the numbers. The maximum number of resolved Delivery queries is 80, which occurred on Thursday.
Part 2: Rank of Friday's total resolved queries.
Step 3: We need to calculate the total number of queries resolved across all three categories for each day and then determine Friday's rank.

Monday:

Quality: \(100 \times 0.20 = 20\)
Quantity: \(100 \times 0.10 = 10\)
Delivery: \(100 \times 0.10 = 10\)
Total Resolved = 40

Tuesday:

Quality: \(150 \times 0.40 = 60\)
Quantity: \(150 \times 0.60 = 90\)
Delivery: \(100 \times 0.30 = 30\)
Total Resolved = 180

Wednesday:

Quality: \(100 \times 0.20 = 20\)
Quantity: \(100 \times 0.50 = 50\)
Delivery: \(100 \times 0.20 = 20\)
Total Resolved = 90

Thursday:

Quality: \(200 \times 0.30 = 60\)
Quantity: \(100 \times 0.40 = 40\)
Delivery: \(200 \times 0.40 = 80\)
Total Resolved = 180

Friday:

Quality: \(150 \times 0.40 = 60\)
Quantity: \(100 \times 0.50 = 50\)
Delivery: \(150 \times 0.50 = 75\)
Total Resolved = 185

Step 4: Rank the daily totals:

1st: Friday (185)
2nd (tie): Tuesday (180), Thursday (180)
4th: Wednesday (90)
5th: Monday (40)
Final calculated answer: Thursday and Second.