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Reliable Movers Inc. documented the miles driven and total moving van costs for

ID: 2527499 • Letter: R

Question

Reliable Movers Inc. documented the miles driven and total moving van costs for the past five months as follows:

Number of miles

Total vehicle costs

January

3,000

$4,800

February

3,500

5,200

March

5,000

6,100

April

4,000

5,000

May

6,000

6,000

In order to budget total vehicle costs for the upcoming summer months, Reliable wishes to estimate total vehicle costs using the high/low method.

Required:

A.

What is the equation to predict estimated total vehicle costs? (4 points)

B.

How much does fixed cost amount to? (4 points)

C. If the company expects to drive 9,000 miles in June, what will be the estimated total vehicle costs? (4 points)

Number of miles

Total vehicle costs

January

3,000

$4,800

February

3,500

5,200

March

5,000

6,100

April

4,000

5,000

May

6,000

6,000

Explanation / Answer

Variable cost per mile = Change in cost/Change in mile

= (6000-4800)/(6000-3000)

Variable cost per mile = 0.40 per mile

Fixed cost = Total cost-variable cost = 6000-(6000*.40) = 3600

a) Equation :

Y = a+bx

Y = 3600+0.40X

b) Fixed cost = 3600

c) Total cost on 9000 mile = (9000*.40+3600) = 7200