Question

Peter Billington Stereo, Inc. Supplies car radios to auto manufacturers and is going to open a new plant. The company is undecided between Detroit and Dallas as the site. The fixed costs in Dallas are lower due to cheaper land costs, but the variable costs in Dallas are higher because shipping distances would increase.

Dallas Detroit

Fixed costs $560,000 $840,000

Variable costs $28/radio $24/radio


A. Based on the analysis of the volume after rounding the numbers to the nearest number, Dallas is best below and Detroit is best above _____ radios.


B. Dalla's fixed costs have increased by 10%. Based on the analysis of the volume, after rounding the numbers to the nearest whole number, Dallas is best below and Detroit is best above _____ radios.


Questions option:


1. 14,000


2. 153,993


3. 70,000


4. 67,200


5. 56,000

Answer 1

Peter Billington Stereo, Inc.

A. Based on the analysis of the volume after rounding the numbers to the nearest number, Dallas is best below and Detroit is best above 70,000 radios.

B. With Dallas's fixed costs increased by 10%, Dallas is best below and Detroit is best above 56,000 radios.

Step-by-step explanation:

Identify total costs at various volumes as follows:

Total costs, TC = Variable Cost, VC + Fixed Cost, FC

At 14,000 units:

a) Dallas' TC = VC = $28 x 14,000 + $560,000 = $952,000

b) Dallas' TC with 10% increase in FC = $28 x 14,000 + $616,000 = $1,008,000

c) Detroit's TC = $24 x 14,000 + $840,000 = $1,176,000

At 56,000 units:

a) Dallas' TC = $28 x 56,000 + $560,000 = $2,128,000

b) Dallas' TC with 10% increase in FC = $28 x 56,000 + $616,000 = $2,184,000

c) Detroit's TC = $24 x 56,000 + $840,000 = $2,184,000

At 67,200 units:

a) Dallas' TC = $28 x 67,200 + $560,000 = $2,441,600

b) Dallas' TC with 10% increase in FC = $28 x 67,200 + $616,000 = $2,497,600

c) Detroit's TC = $24 x 67,200 + $840,000 = $2,452,800

At 70,000 units:

a) Dallas' TC = $28 x 70,000 + $560,000 = $2,520,000

b) Dallas' TC with 10% increase in FC = $28 x 70,000 + $616,000 = $2,576,000

c) Detroit's TC = $24 x 70,000 + $840,000 = $2,520,000

At 153,993 units:

a)Dallas' TC = $28 x 153,993 + $560,000 = $4,871,804

b) Dallas' TC with 10% increase in FC = $28 x 153,933 + $616,000 = $4,927,804

c) Detroit's TC = $24 x 53,993 + $840,000 = $4,535,832