Solve the linear programming problems in Problems 13-32 using the simplex method. Maximize P = 4 x 1 − 3 x 2 + 2 x 3 subjectto x 1 + 2 x 2 − x 3 ≤ 5 3 x 1 + 2 x 2 + 2 x 3 ≤ 22 x 1 , x 2 , x 3 ≥ 0
Solve the linear programming problems in Problems 13-32 using the simplex method. Maximize P = 4 x 1 − 3 x 2 + 2 x 3 subjectto x 1 + 2 x 2 − x 3 ≤ 5 3 x 1 + 2 x 2 + 2 x 3 ≤ 22 x 1 , x 2 , x 3 ≥ 0
Solution Summary: The author explains the simplex method for the linear programming problem, which requires three slack variables to solve the constraint inequalities.
8:37
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Graph of f
The figure shows the graph of a periodic function
f in the xy-plane. What is the frequency of f?
0.5
B
2
C
3
D
8
3 of 6
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Oli
Back
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2. The growth of bacteria in food products makes it necessary to time-date some products (such as milk) so that
they will be sold and consumed before the bacteria count is too high. Suppose for a certain product that the number
of bacteria present is given by
f(t)=5000.1
Under certain storage conditions, where t is time in days after packing of the product and the value of f(t) is in
millions.
The solution to word problems should always be given in a complete sentence, with appropriate units, in the
context of the problem.
(a) If the product cannot be safely eaten after the bacteria count reaches 3000 million, how long will this take?
(b) If t=0 corresponds to January 1, what date should be placed on the product?
2.6 Applications: Growth and Decay; Mathematics of Finances
1. A couple wants to have $50,000 in 5 years for a down payment on a new house.
(a) How much should they deposit today, at 6.2% compounded quarterly, to have the required amount in 5
years?
(b) How much interest will be earned?
(c) If they can deposit only $30,000 now, how much more will they need to complete the $50,000
after 5 years? Note, this is not 50,000-P3.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.
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