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Toowoomba Solar Limited (TSL) wants to find an equation to estimate some of their monthly operating costs for the coming year. The following cost and

Toowoomba Solar Limited (TSL) wants to find an equation to estimate some of their monthly operating costs for the coming year. The following cost and other data were gathered for the previous 12 months:

Month

Maintenance costs

Machine-hours

Health insurance

Number of employees

Shipping costs

Units shipped

January

$2,250

1656

$4,300

68

$12,888

1432

February

$2,226

120

$4,300

75

$14,832

1648

March

$2,300

230

$4,300

92

$14,337

1593

April

$2,425

318

$4,300

105

$11,529

1281

May

$2,583

460

$4,300

89

$10,647

1183

June

$2,380

280

$4,300

87

$16,641

1849

July

$2,455

340

$4,300

93

$15,714

1746

August

$2,480

360

$4,300

88

$15,147

1683

September

$2,535

420

$4,300

95

$12,555

1395

October

$2,625

495

$4,300

102

$12,933

1437

November

$2,655

510

$4,300

97

$10,062

1118

December

$2,380

275

$4,300

94

$17,298

1922

a. Which of the above costs is variable? Fixed? Mixed? Explain. (3 marks)

b. Using the highlow method, determine the cost function for mixed cost. (5 marks)

c. Combine the information above to get a monthly utility cost function for TSL. (4 marks)

d. Next month, TSL expects to use 400 machine-hours, have 80 employees and ship 2,000 units. Estimate total operating cost for the month. (3 marks)

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