QUESTION 8 According to the Coefficient Rule, in the expression: 5 x + 3 y <=...
QUESTION 8
-
According to the Coefficient Rule, in the expression: 5 x + 3 y <= 120, if y is increased by 1 unit while x is held constant, the quantity represented by 5 x + 3 y will increase by:
3
5
x
y
QUESTION 9
-
Suppose each paperback box holds 4 paperback books and 3 hardcover books and each hardcover box holds 5 hardcover books and 2 paperback books. What are the coefficients in the constraint: __ P + __ H >= 15, representing total number of add l hardcovers >= 15?
0, 5
3, 0
3, 5
4, 2
QUESTION 10
-
Suppose each paperback box holds 4 paperback books and 3 hardcover books and each hardcover box holds 5 hardcover books and 2 paperback books. What are the coefficients in the objective function: __ P + __ H, representing total number of add l books shipped?
3, 5
4, 2
6, 8
7, 7
Homework Answers
Question 18.
According to the Coefficient Rule, in the expression: 5 x + 3 y< = 120, if y is increased by 1 unit while x is held constant, the quantity represented by 5 x + 3 y will increase by:
Correct answer is 3.
If we increase 1 unit of y to 5x + 3y then the revised expression is 5x + 3(y+1) = (5x + 3y) + 3. Hence, comparing earlier equation with the revised one, there is an increase of + 3.
Question 19.
Suppose each paperback box holds 4 paperback books and 3 hardcover books and each hardcover box holds 5 hardcover books and 2 paperback books. What are the coefficients in the constraint: __ P + __ H >= 15, representing total number of add l hardcovers> = 15?
For the expression __ P + __ H >= 15, total number is representing hardcovers. P represent paperback box and H represent hardcover box. Hence coefficients should represent number of hardcover books which can be accommodated in paperback box and hardcover box.
Hence, the expression is 3 P + 5 H >=15
The correct answer is 3,5.
QUESTION 10
Suppose each paperback box holds 4 paperback books and 3 hardcover books and each hardcover box holds 5 hardcover books and 2 paperback books. What are the coefficients in the objective function: __ P + __ H, representing total number of add l books shipped?
Since the objective function represent total number of books shipped. Hence, in this case P represent paperback books and H represent hardcover books.
Total paper back books in both boxes = 4 + 2 = 6
Total hardcover books in both boxes = 3 + 5 = 8
So, the objective function is 6 P + 8 H
The correct answer is 6,8.
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QUESTION 8
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