Lial FM 9th ed
FM Dept Review P1 Answers Sp11
Finite Departmental Review Part I Answers
1.
Minimum P = 150 when x = 0 and y = 10
2.
Maximum P = 48 when x = 8 and y = 4
3.
Maximum P =1000 when x = 7 and y = 12
4.
To minimize costs to $570, you should make 0 trips in a small truck and 10 trips in a large truck,
per day.
5.
a. Maximum profit is $2160 when you manufacture 0 trick skis and 36 slalom skis.
b. Maximum profit is $1620 when you manufacture 0 trick skis and 36 slalom skis.
6.
Minimum cost is $2.10 when dog is fed 1 can of brand A and 3 cans of brand B.
7.
Max P = 33 when x =
8.
Max z = 120 when x₁ = 0, x₂ = 40, s1 = 20, s2 = 0, s3 = 30
9.
Max z = 805 when x1 = 115, x2 = 0, x3 = 0, s1 = 0, s2 = 124
10.
Max z = 329 when x1 = x2 = x3 = s1 = 0, x4 = 47, s2 = 51
11.
She should contact 2 church groups and 4 labor unions to obtain a maximum of $1000 in
donations.
12.
x1 = 200, x2 = x3 = 0, x4 = 1280
13.
A maximum of 280,000 potential customers will see the ads if 8 daytime ads and 7 primetime ads
are run.
14.
Maximum P = 552 when x = 46, y = 0, s1 = 19, s2 = 0
15.
Minimum P = 50 when y1 = 0, y2 = 5 , y3 = 0, s1 = 7, s2 = 0
16.
The minimum cost is $390 when you use 3000 lbs of bluegrass, 0 lbs of rye, and 0 lbs of
Bermuda seed.
17.
A minimum cost of 1.86 occurs when the additive contains
11 ,
4
y = 0, s1 = 0, s2 =
21
4
3
3
4
3
4
oz of liquid I,
9
2
oz of liquid II, and
oz of liquid III. 6 oz of the additive should be used per gallon of gasoline.
18.
$20.00
19.
A = $5477.81, I = $2977.81
20.
$291,116.36
21.
4.68%
22.
4.8%
23.
Prize A will be worth $3856.14 more.
24.
17.3 yr
25.
2.69%
26.
$1608.32
27.
$45,578.79
28.
future value = $59,696.78, interest = $5,696.78, contributions = $54,000
29.
$7,666.24
30.
Future value = $15964.33, contributions = $12,600, interest = $3,364.33
1
Lial FM 9th ed
FM Dept Review P1 Answers Sp11
31.
$828.35
32.
$4,884.54
33.
$11,840.17
34.
$22,505.91; interest: $8,105.91, contributions $14,400
35.
$131,578.34
36.
$875.61
37.
$151,536.51
38.
5.25%
39.
$235,358.61
40.
$100,382.55
41.
$1,531.62; total payments: $9,189.72; total interest: $1,489.72
42.
$1,255.69
43.
a. $467.29
44.
Payment amount = $3,057.03, 4 payments remain
b. $1,854.96
2