MAT 540 WEEK 9 QUIZ 4 LATEST
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MAT 540 Week 9 Quiz 4 Latest
MAT540
MAT 540 Week 9 Quiz 4 Latest
Question 1
When using a linear programming model to solve the “diet”
problem, the objective is generally to maximize profit.
Question 2
Fractional relationships between variables are permitted in the
standard form of a linear program.
Question 3
A constraint for a linear programming problem can never have a
zero as its right-hand-side value.
Question 4
A systematic approach to model formulation is to first construct
the objective function before determining the decision variables.
Question 5
In formulating a typical diet problem using a linear programming
model, we would expect most of the constraints to be related to calories.
Question 6
In a balanced transportation model, supply equals demand such
that all constraints can be treated as equalities.
Question 7
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Question 8
Small motors for garden equipment is produced at 4 manufacturing
facilities and needs to be shipped to 3 plants that produce different garden
items (lawn mowers, rototillers, leaf blowers). The company wants to minimize
the cost of transporting items between the facilities, taking into account the
demand at the 3 different plants, and the supply at each manufacturing site.
The table below shows the cost to ship one unit between each manufacturing
facility and each plant, as well as the demand at each plant and the supply at
each manufacturing facility.
What is the demand constraint for plant B?
Question 9
The production manager for the Softy soft drink company isconsidering the production of 2 kinds of soft drinks: regular and diet. Two of
her resources are constraint production time (8 hours = 480 minutes per day)
and syrup (1 of her ingredient) limited to 675 gallons per day. To produce a
regular case requires 2 minutes and 5 gallons of syrup, while a diet case needs
4 minutes and 3 gallons of syrup. Profits for regular soft drink are $3.00 per
case and profits for diet soft drink are $2.00 per case. What is the optimal
daily profit?
Question 10
The owner of Black Angus Ranch is trying to determine the
correct mix of two types of beef feed, A and B which cost 50 cents and 75 cents
per pound, respectively. Five essential ingredients are contained in the feed,
shown in the table below. The table also shows the minimum daily requirements
of each ingredient.
Ingredient
Percent per pound in Feed A
Percent per pound in Feed B
Minimum daily requirement (pounds)
1
20
24
30
2
30
10
50
3
0
30
20
4
24
15
60
5
10
20
40
The constraint for ingredient 3 is:
Question 11
In a portfolio problem, X1, X2, and X3 represent the number of
shares purchased of stocks 1, 2, an 3 which have selling prices of $15, $47.25,
and $110, respectively. The investor has up to $50,000 to invest. The expected
returns on investment of the three stocks are 6%, 8%, and 11%. An appropriate
objective function is
Question 12
If Xij = the production of product i in period j, write an
expression to indicate that the limit on production of the company’s 3 products
in period 2 is equal to 400.
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