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The total costs incurred in 2019 at various output levels in a factory have been measured...

The total costs incurred in 2019 at various output levels in a factory have been measured as follows:

Output (Units)

Total Cost ($)

40

1800

70

2,400

80

2,600

100

3,000

160

4,200

When output is 200 units or more, another factory unit must be rented and fixed costs therefore increase by 50%. Variable cost per unit is forecast to rise by 20% at the start of 2020.

Required:

Using the high-low method and least squares method-

a.       Calculate the Variable cost per unit.

b.      Calculate Total Fixed Cost.

c.       Develop the cost function that links Cost to Output (2020).

d.      Calculate the estimated total costs of producing 200 units in 2020.

e.       Calculate the estimated output if total cost is $15,400 in 2020.

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