Cost, capacity, and demand for shipping widgets from plants (A & B) to distribution centers (X through Z) can be found in the table below. How many should be shipped from each plant to each distribution center if cost is to be minimized?
PlantDistribution
W
X
Y
Z
Capacity
A
$12.60
$14.35
$11.52
$17.58
1,200
B
$9.75
$16.26
$8.11
$17.92
800
Demand
150
350
500
1,000
A new mix is being developed that is to contain at least 13% protein and 15% fat with no more than 14% fiber. Nutrients and the wholesale cost per pound for the potential ingredients are in the table below. What is the minimal cost mixture that meets these requirements?
Ingredient
Protein%
Fat%
Fiber%
Cost/lb
Sunflower seeds
16.9
26.0
29.0
$0.22
White millet
12.0
4.1
8.3
$0.19
Kibble corn
8.5
3.8
2.7
$0.10
Oats
15.4
6.3
2.4
$0.10
Cracked corn
8.5
3.8
2.7
$0.07
Wheat
12.0
1.7
2.3
$0.05
Safflower
18.0
17.9
28.8
$0.26
Canary grass seed
11.9
4.0
10.9
$0.11
$100,000 had been invested in the top four holdings in the table below. There are several more options available. Please reallocate these funds using the following restrictions in a manner that maximizes the net return.–Keepatleast$5000insavings–Investatleast14%inthemoneymarketfund–Invest at least 16% in international funds–Keep35%incurrentholdings–No more than 20% in any one investment except money market and savings accounts.–Allocate at least 30% into new investments.
Investment
Average return %
Expenses %
Large cap blend
17.2
0.93
Small cap growth
20.4
0.56
Green fund
26.3
0.70
Growth and income
15.6
0.92
Multicap growth
19.8
0.92
Midcap index
22.1
0.22
Multicap core
27.9
0.98
Small cap international
35.0
0.54
Emerging international
36.1
1.17
Money market fund
4.75
0
Savings account
1.0
0
A mill produces three types of make-to-order fabrics using 15 regular and 3 dobbie looms operating 24/7 during a 13-week period. After weaving, fabrics are sent to finishing before sale. If demand exceeds weaving capacity, fabric will be purchased from an external supplier and then sent to finishing before sale. The table below has detail about the fabrics and the looms. Which looms should produce each fabric and, if necessary, how much of each fabric should be bought externally?
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