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Tatiana [17]
3 years ago
14

Month Maintenance Machine Health Number of Shipping Units

Business
1 answer:
8_murik_8 [283]3 years ago
4 0

Answer:

1. Variable cost = Shipping costs

Fixed cost = Health Insurance

Mixed cost = Maintenance costs

Shipping costs are variable because a unit shipped costs $3.60. The total shipping cost for each month varies according to the units shipped in the month.

Health Insurance costs are fixed as there is no change in cost notwithstanding the number of employees in each month.  The total health insurance cost remains the same every month.

Maintenance costs are mixed for each month, as there is a fixed element and a variable element.

2. Cost function for each cost:

Maintenance = $4,200 + $2.10 per machine hour

Health Insurance = $8,600

Shipping cost = $3.60 per unit

3. Cost function = $12,800 + $2.1m + $3.6s

where m = machine hours

and s =  units shipped

4. The total operating cost for the month

= $46,040

Explanation:

a) Data and Calculations:

Month     Maintenance Machine  Health   Number of  Shipping     Units

                     costs        Hours  Insurance  Employees   Costs    Shipped

January          4500       165         8600            68            25778       7160

February        4452       120         8600            75           29664      8240

March            4600       230        8600            92            28674      7965

April               4850        318        8600           105           23058      8405

May                5166       460        8600            89            21294       5915

June              4760       280        8600            87            33282      9245

July                4910       340        8600            93             31428      8730

August         4960       360        8600            88            30924       8415

September  5070       420         8600            95             25110     6975

October      5250       495         8600           102           25866      7185

November   5271        510         8600            97             20124    5590

December  4760       275         8600            94            34596     9610

Cost Function for each cost:

Maintenance cost:

                     Machine Cost

                        Hours

November         510    5271

February           120    4452

Difference       390      819

Variable cost = $2.10 (819/390)

Fixed cost = $4,200 ($5,271 - ($2.10*510))  

Health Insurance:

Fixed cost = $8,600

Shipping cost:

Variable cost = $3.60 per unit

Cost function = $4,200 + $2.10m + $8,600 + $3.60s

= $12,800 + $2.1m + $3.6s

February cost = $12,800 + $2.1(120) + $3.6(8240)

= $12,800 + $252 + $29,664

= $42,716

IF:

Machine hours = 400

Employees = 80

Shipped units = 9,000

The total operating cost for the month will be:

Cost function = $12,800 + $2.1m + $3.6s

= $12,800 + ($2.1 * 400) + ($3.6 * 9,000)

= $12,800 + $840 + $32,400

= $46,040

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