SECTION E

Use the information provided below to answer questions $22$ to $23.$

The average quantities and prices of different fuel products bought by the customers of a popular fuel station in

Johannesburg during $2015$ and $2022$ are shown in the table below.

$20152022$

Quantity $($litres$)$ Price per litre, R Quantity $($litres$)$ Price per litre, R

$93$ Petrol $4012\mathrm{.}503021\mathrm{.}50$

$95$ Petrol $5012\mathrm{.}006021\mathrm{.}10$

Diesel $10011\mathrm{.}0012019\mathrm{.}50$

QUESTION $22(4$ Marks$)$

Using $2015$ as the base year, determine the Laspeyres price index for $2022.$

A$.175\mathrm{.}68\%$

B$.193\mathrm{.}23\%$

C$.109\mathrm{.}99\%$

D$.168\mathrm{.}25\%$

QUESTION $23(4$ Marks$)$

Using $2015$ as the base year, determine the Laspeyres quantity index for $2022.$

A$.176\mathrm{.}02\%$

B$.109\mathrm{.}99\%$

C$.109\mathrm{.}77\%$

D$.113\mathrm{.}33\%$

Using the information provided below, answer questions $24$ to $25.$

Using the actual sales $($in units$)$ over the past $15$ months, a demand planner at a leading e$-$commerce firm has

forecasted the demand for a popular consumer product as shown below. Forecast $1$ and Forecast $2$ represent the

outputs of two comparative forecasting methods currently used by the sales and marketing, and operations

departments of the firm.

Month Actual sales $($units$)$ Forecast $1($units$)$ Forecast $2($units$)$

October $22120000--$

November $22138000--$

December $22172000--$

January $23120000133280143330$

February $23114000130620143330$

March $2398000127300135330$

April $23118000121440110670$

May $23112000120750110000$

June $23132000119000109330$

July $23138000121600120670$

August $23108000124900127330$

September $23126000121500126000$

October $23144000122400124000$

November $23162000126720126000$

December $23189000133780144000$

QUESTION $24(4$ Marks$)$

Determine the mean absolute deviation of Forecast $1.$

A$.234290$ units

B$.18721$ units

C$.19524$ units

D$.22670$ units

QUESTION $25(4$ Marks$)$

Determine the mean absolute deviation of Forecast $2.$

A$.21638$ units

B$.35280$ units

C$.19330$ units

D$.23600$ units