Suppose that the refinery in Example 5 has 35 , 000 barrels of component A , which costs $ 25 a barrel, and 15 , 000 barrels of component B , which costs $ 35 a barrel. If all other data remain the same, formulate a linear programming problem to find the maximum profit. Do not attempt to solve the problem (unless you have access to software that can solve linear programming problems).
Suppose that the refinery in Example 5 has 35 , 000 barrels of component A , which costs $ 25 a barrel, and 15 , 000 barrels of component B , which costs $ 35 a barrel. If all other data remain the same, formulate a linear programming problem to find the maximum profit. Do not attempt to solve the problem (unless you have access to software that can solve linear programming problems).
Solution Summary: The author explains the linear programming problem to find the maximum profit of refinery that produces two types of gasoline, regular and premium by blending two components A and B.
Suppose that the refinery in Example 5 has
35
,
000
barrels of component
A
, which costs
$
25
a barrel, and
15
,
000
barrels of component
B
, which costs
$
35
a barrel. If all other data remain the same, formulate a linear programming problem to find the maximum profit. Do not attempt to solve the problem (unless you have access to software that can solve linear programming problems).
Q2: Using the Laplace transform, find the solution for the following equation
y"" +y" = 6et + 6t + 6. Suppose zero initial conditions (y"" (0) = y"(0) = y'(0) = y(0) = 0).
1- Let A = {A1, A2, ...), in which A, A, = 0, when i j.
a) Is A a π-system? If not, which element(s) should be added to A to become a π-system?
b) Prove that σ(A) consists of the finite or countable unions of elements of A; i.c., A E σ(A) if and
only if there exists finite or countable sequence {n} such that A = U₁An (Hint: Let F be such
class; prove that F is a σ-filed containing A.)
c) Let p ≥ 0 be a sequence of non-negative real numbers with Σip₁ = 1. Using p₁'s, how do you
construct a probability measure on σ(A)? (Hint: use extension theorem.)
2- Construct an example for which P(lim sup A,) = 1 and P(lim inf An) = 0.
3. Let
f(z) =
sin (22) + cos (T2)
2(22+1)(z+1)
Compute f(z)dz over each of the contours/closed curves C1, C2, C3 and C4 shown
below.
Don't use any Al tool
Don't send the same
previous answer that
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Chapter 6 Solutions
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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