Exercise $4$: Transfer prices and operating income $(5$ marks$)$

Petromin has two divisions, the transportation division which purchases and transports crude oil, which is transferred to the refining division and further processed in the refining division to convert it into gasoline, which is then sold to customers at $$90$ per unit. The company has now asked the transportation division to transfer its total annual output of

$150,000$ units of crude oil product to the refining division at a transfer price of $120\%$ of the total manufacturing cost. An unlimited quantity of this product can be bought and sold in the external market at $$130$ per unit.

The following table shows the industrial cost per unit in the transportation and refining departments in $2023.$

$\backslash$table$[[$Refining Department,,$],[$$$,13$ $$,$Cost of direct materials$],[21,17,$Direct industrial wage costs$],[16,9,$Variable indirect industrial cost$],[11,25,$Fixed industrial indirect cost$],[$$$00,$$$64,]]$

Determine the transfer price for the transportation and refining sections under the following methods:

Based on market price

$$ On a variable cost basis

Based on $120\%$ of the total cost.

Based on total cost plus a target profit of $35\%$ of cost$.$

Calculate the operating profit of the transportation and refining divisions for the units converted from the crude oil product of Its number is $150,000$ units under the following methods for determining transfer prices:

$4q,$

Market price

$.$ On a variable cost basis

Based on $120\%$ of the total cost.

Based on total cost plus a target profit of $35\%$ of cost$.$

Calculate the operating income for both divisions together, given all the methods for determining the transfer prices specified in the question.

$(1)$ Then compare the results.