Hannibal Steel Company has a Transport Services Department that provides trucks to haul ore from the company’s mine to its two steel mills—the Northern Plant and the Southern Plant. Budgeted costs for the Transport Services Department total $350,000 per year, consisting of $0.25 per ton variable cost and $300,000 fixed cost. The level of fixed cost is determined by peak-period requirements. During the peak period, the Northern Plant requires 70% of the Transport Services Department’s capacity and the Southern Plant requires 30%. During the year, the Transport Services Department actually hauled the following amounts of ore for the two plants: Northern Plant, 130,000 tons; Southern Plant, 50,000 tons. The Transport Services Department incurred $364,000 in cost during the year, of which $54,000 was variable cost and $310,000 was fixed cost. Required: 1. How much of the $54,000 in variable cost should be charged to each plant. 2. How much of the $310,000 in fixed cost should be charged to each plant. 3. How much amount out of $364,000 in the Transport Services Department cost should be treated as a spending variance and not charged to the plants?

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Answer:

Explanation:

the solution is shown in the picture attached below

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Northern Plant has a variable cost are "[tex]\$ 32,500\ and\ \$210,000[/tex]" and Southern Plant pays variable costs that are "[tex]\$12,500\ and \ \$90,000[/tex]", and calculation can be defined as follows:

Cost calculation:

For questions 1 and 2:

                           Northern Plant          Southern Plant   Total

Variable Cost Charges;  

[tex]\$0.25 per\ ton \times 130,000\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$32,500\\\\ \$0.25 per\ ton \times 50,000 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \database \ \ \valie\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$12,500 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$45,000[/tex]

Fixed Cost Charges:  

[tex]70\% \times 300,000 \ \ \ \ \ \ \ \ \ \ \ \ \ \$210,000\\\\[/tex]

     [tex]30\%\times \$300,000 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$90,000 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$300,000[/tex]

[tex]\text{Total Charges} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$242,500 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$102,500 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \$345,000[/tex]

For question 3:

The spending Variance [tex]=\ \$19,000[/tex]

calculation:

                                           Cost of variable            Fixed Cost        Total

Total Actual Cost Incurred [tex]\$54,000 \ \ \ \ \ \ \ \ \ \ \ \ \ \$310,000\ \ \ \ \ \ \ \ \ \ \ \ \ \$364,000[/tex]

Total Charges [tex]\$45,000\ \ \ \ \ \ \ \ \ \ \ \ \ \$300,000\ \ \ \ \ \ \ \ \ \ \ \ \ \$345,000[/tex]

Variance Spending  [tex]\$9,000\ \ \ \ \ \ \ \ \ \ \ \ \ \$10,000 \ \ \ \ \ \ \ \ \ \ \ \ \ \$19,000[/tex]

Find out more about the cost calculation here:

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