In Problems 59-66, solve the given linear programming problem using the table method (the table of basic solutions was constructed in Problems 41-48) Maximize P = x 1 + x 2 subject to 5 x 1 + 4 x 2 ≤ 240 5 x 1 + 2 x 2 ≤ 150 5 x 1 + x 2 ≤ 120 x 1 , x 2 ≥ 0
In Problems 59-66, solve the given linear programming problem using the table method (the table of basic solutions was constructed in Problems 41-48) Maximize P = x 1 + x 2 subject to 5 x 1 + 4 x 2 ≤ 240 5 x 1 + 2 x 2 ≤ 150 5 x 1 + x 2 ≤ 120 x 1 , x 2 ≥ 0
Solution Summary: The author calculates the maximum value of P=x_1+ 2 from the basic feasible solutions of the given i-system.
nd
ave a
ction and
ave an
48. The domain of f
y=f'(x)
x
1
2
(=
x<0
x<0
= f(x)
possible.
Group Activity In Exercises 49 and 50, do the following.
(a) Find the absolute extrema of f and where they occur.
(b) Find any points of inflection.
(c) Sketch a possible graph of f.
49. f is continuous on [0,3] and satisfies the following.
X
0
1
2
3
f
0
2
0
-2
f'
3
0
does not exist
-3
f"
0
-1
does not exist
0
ve
tes where
X
0 < x <1
1< x <2
2
Morningstar tracks the total return for a large number of mutual funds. The following table shows the total return and the number of funds for four categories of mutual funds.
Click on the datafile logo to reference the data.
DATA file
Type of Fund
Domestic Equity
Number of Funds
Total Return (%)
9191
4.65
International Equity
2621
18.15
Hybrid
1419
2900
11.36
6.75
Specialty Stock
a. Using the number of funds as weights, compute the weighted average total return for these mutual funds. (to 2 decimals)
%
b. Is there any difficulty associated with using the "number of funds" as the weights in computing the weighted average total return in part (a)? Discuss. What else might be used for weights?
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
c. Suppose you invested $10,000 in this group of mutual funds and diversified the investment by placing $2000 in Domestic Equity funds, $4000 in International Equity funds, $3000 in Specialty Stock…
The days to maturity for a sample of five money market funds are shown here. The dollar amounts invested in the funds are provided.
Days to
Maturity
20
Dollar Value
($ millions)
20
12
30
7
10
5
6
15
10
Use the weighted mean to determine the mean number of days to maturity for dollars invested in these five money market funds (to 1 decimal).
days
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