Week 6 Homework
Please complete the below problems and submit your answers in the Week 6 Dropbox. See "Syllabus/Due Dates for Assignments & Exams" for due date information.
1. Jersey Subs, Inc. wants to find an equation to estimate monthly utility costs. Jersey Subs has been in business for one year and has collected the following cost data for utilities:
a. Which of the preceding costs is variable? Fixed? Mixed? Explain.
b. Using the high-low method, determine the cost function for each cost.
c. Combine the preceding information to get a monthly utility cost function for Jersey.
d. Next month, Jersey Subs expects to use 2,200 kilowatt hours of electricity, make 1,500 minutes of telephone calls, and use 32,000 gallons of water. Estimate total cost of utilities for the month.
2. Bolder Bikes, Inc. manufactures mountain bike frames in Boulder, Colorado. In 2012, they produced 24,000 frames at a total cost of $1,296,000. Frames Unlimited, Inc. has offered to supply as many frames as Boulder Bikes wants at a cost of $49.50. Boulder Bikes anticipates needing 26,000 frames each year over the next few years. Boulder Bikes uses historical cost data to come up with the following regression equation with total manufacturing costs of the frame as the dependent variable and frames produced as the independent variable:
y=$545,000 + 21X
During the years used to estimate the regression equation, the production of frames varied from 22,000 to 26,000.
a. Using this equation, estimate how much it would cost Boulder Bikes to manufacture the 26,000 frames.
b. How much more or less costly is it to manufacture the frames rather than to acquire them from Frames Unlimited?
Electricity
Kilowatt
Telephone
Minutes
Water
Water
Month
Bill
Hours Used
Bill
Used
Bill
Used
January
375
1,250
92.50
$
1,200
75.00
$
32,560
February
438
1,458
91.70
$
1,156
75.00
$
28,554
March
572
1,906
95.32
$
1,353
75.00
$
33,508
April
422
1,406
90.09
$
1,069
75.00
$
31,926
May
613
2,042
98.53
$
1,527
75.00
$
32,569
June
650
2,167
99.34
$
1,571
75.00
$
27,211
July
544
1,813
93.91
$
1,276
75.00
$
34,829
August
622
2,073
96.72
$
1,429
75.00
$
33,265
September
656
2,188
96.12
$
1,396
75.00
$
35,735
October
641
2,135
94.31
$
1,298
75.00
$
34,062
November
619
2,063
91.49
$
1,145
75.00
$
30,472
December
659
2,198
97.53
$
1,473
75.00
$
36,332