Problems 23
----------------------- 1-32
possible to achieve her boss's criterion. She asks
your advice. What would you tell her?
Willie Lohmann travels from city to city in the con-
duct of his business. Every other year he buys a used
.car for about $12,000. The auto dealer allows about
$8000 as a trade-in allowance with the result that
the salesman spends $4000 every other year for a car.
Willie keeps accurate records, whi.ch show that all
other expenses on his car amount to 22.3~per mile
for each mile he drives. Willie's employer has two
plans by which salesmen are reimbursed for their car
expenses:
(a) Willie will receive all his operating expenses, and
in addition will receive $2000 each year for the
decline in value of the automobile.
(b) Willie will receive 32~ per mile but no operating
expenses and no depreciation allowance.
If Willie travels 18,000 miles per year, which method
of computation gives him the larger reimbursement?
At what annual mileage do the two methods give the
same reimbursement?
Maria, a college student, is getting ready for three final
examinations at the end of the school year. Between
now and the start of exams, she has 15 hours of study
time available. She would like to get as high a grade
average as possible in her math, physics, and engi-
neering economy classes. She feels she must study at
least 2 hours for each course and, if necessary, will set-
tie for the low grade that the limited study would yield.
How much time should Maria devote to each class if
she estimates her grade in each subject as follows:
on the two graphs:
$2000
$1900
$1800
$1700
$1600
$1500
$1400
$1300
~G't $1200$1100
~ $1000
§' $900,.
$800
$700
$600
$500
$400
$300
$200
$100
,
o
------------------
50 100 150 200 250
Output (unitslhr)
1-33
~c..
lS'" $12
'0
Qas $11
u
ifbI) $10
.S
~tI) $9
Mathematics Physics
Engineering
Economy
---;----I
II I
I II I
tI J____I
II II II
$8I- -- - ~-- -- ~-- -- ~-- --I I I I
II II II II
$71 ~I ~I ~I ~----I
I I I I
Study
Hours Grade
Study
Hours Grade
Study
Hours Grade
o 50 100 150 200 250
Output (unitslhr)
(a)Select an appropriate economic criterion and
estimate.the production rate based upon it.
(b)Joy's boss told Joy: "I want you to maximize
output with minimum input." Joy wonders if it is
1-34 Two manufacturing companies, located in cities
90 miles apart, have discovered that they both send
,their trucks four times a week to the other city full of
cargo and return empty. Each company pays its driver
r I
~.
i;, c.. ~,._~_. <>;,~,;~;.;:" '¥"~~~;';' ;,"d;.7Ji;~._'i.:.;h,,"~;:.: ~''''~,~...''''''.J-i-i.:,., h~ "; 0 ~ --;,,:,'-."-~ ; - ~;>~ --:',.";~- _~';'~.c=,.:c"ii:~~
$16
$15
$14
.....
'8
$13
2 25 2 35 2 50
3 35 3 41 3 61
4 44 4 49 4 71
5 52 5 59 5 79
6 59 6 68 6 86
7 65 7 77 7 92
8 70 8 85 8 96