math 132 4.3

A woman has up to $10000 to invest. Her broker suggests investing in twobonds: Bond A , and Bond B. Bond A is a rather risky bond with an annual yield
of 10% and bond B is a rather safe bond with an annual yield of 7%. After
some consideration, she decides to invest at most $6000 in bond A , and invest at
least $2000 in bond B. Moreover, she wants to invest at least as much in bond A
as in bond B. She wishes to maximize her annual yield.
a) In each blank box below, select the best answer from the list that helps complete
the objective function and its associated constraint inequalities. Please note that the
option = indicates >.
R= [Select ]
A+ [Select]
у в
A+ [Select]
B [Select]
10000
A [Select ]
6000
B Select]
2000
A [Select]
у B
b) Use the geometric approach (with A placed on the x-axis and B on the y-
axis) to determine the coordinates of the corner points of the solution region. Then,
select the answer from this list: [Select ]
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Quiz: Section 4.3
c) Which of the feasible corner points you selected in part (b) above maximizes the
objective function? Note that a feasible corner point is any corner point with at least
one non-zero coordinate. Select the answer from this list:
[ Select]
d) What is the maximum yield? (Select]
A store sells two types of toys: toy A and toy B. Each toy A costs the store
owner $8 to purchase, and each toy B costs her $16. Each toy A brings the
owner of the store a profit of $2 , while each toy B yields a profit of $3. The store
owner estimates that no more than 2000 toys will be sold every month, and she
does not plan to invest more than $20000 in inventory of these toys. She would
like to maximize her monthly profit.
a) In each blank box below, select the best answer from the list that helps complete
the objective function and its associated constraint inequalities. Please note that the
option = indicates >.
р
v A+ 3
B
2
A+
1
B
2000
8
A+ 16B –
20000
b) Use the geometric approach (with A placed on the x-axis and B on the y-
axis) to determine the coordinates of the corner points of the solution region. Then,
select the answer from this list: Correct answer is not listed
c) Which of the feasible corner points you selected in part (b) above maximizes the
objective function? Note that a feasible corner point is any corner point with at least
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PM
Quiz: Section 4.3
one non-zero coordinate. Select the answer from this list:
(1500,500)
< d) What is the maximum monthly profit? (Select ] Read the information below and construct the objective function, and the associated constraint inequalities. DO NOT SOLVE THE MAXIMUM PROBLEM. Ace Novelty wishes to produce two types of souvenirs: type A and type B. The sale of each type A souvenir will result in a profit of $2 , and the sale of each type B souvenir will result in a profit of $3.To manufacture a type A souvenir requires 3 minutes on machine I and 4 minute on machine II. On the other hand, a type B souvenir requires 2 minute on machine I and 5 minutes on machine II. There are at most 2 hours available on machine I. and at most 4 hours available on machine II. Construct the objective function for maximizing profit, and construct the associated constraint inequalities by selecting the appropriate symbol or number from the dropdown list. Note: The symbol = in the dropdown list indicates "greater than or equal to". Hint: Make sure that all units of time are converted to minutes. P=[Select] A+ [Select] B Select] A+2B [Select] 120 44+ (Select] B Select] 240 Instructure.com/courses/102985/quizzes/357210/take S1 PM Quiz: Section 4.3 A Select] B [Select] ✓