تم الحل ✓
categoryاقتصاد عام
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
Consider the following LP problem. Suppose X represents the quantity of Regular Mix and Y represents the quantity of Deluxe Mix
produced by The Nut-Mix Manufacturing Company.
Maximize 43X+38Y
subject to: 3X+4Y ≤2124
5X+2Y2070
X, Y 20
Question What is the maxi
QUESTION 33
Refer to the LP problem in question 27.
Another feasible solution (corner point) is the point of intersection of the two constraint equations. Find the values of X and Y
corresponding to this comer point by solving the two equations.
Then, what is the value of X at the point of intersection of the two lines?
302
296
288
272
Another feasible solution (corner point) is the point of intersection of the two constraint equations. Find the values of X and Y
corresponding to this corner point by solving the two equations.
Then, what is the value of Y at the point of intersection of the two lines?
295
O 315
345
375
QUESTION 35
Refer to the LP problem in Question 27.
What is the maximum profit at the optimal solution?
22350
24354
27648
29740
7 points
QUESTION 36
Refer to the LP problem in Question 27.
Suppose that optimal quantities of the Regular Mix and Deluxe Mix that yield the highest profit are produced. Then which of the
following statements is true about the quantities of raw materials RI and R2 left behind?
O Only raw material R1 is completely consumed and some (positive) quantity of R2 is left behind.
O Only raw material R2 is completely consumed and some (positive) quantity of R1 is left behind.
O Some (positive) quantities of both raw materials R1 and R2 are left behind.
Both raw materials R1 and R2 are completely consumed and nothing is left behind
QUESTION 37
Refer to the LP problem in Question 27.
Suppose the profit from Y, the Deluxe mix, has gone up to 64 per pound, while profit from X, the regular mix remained at the current level.
What will be the maximum profit at the optimal solution?
QUESTION 38
Refer to the LP problem in Question 27.
Suppose the profit from Y, the Deluxe mix, has gone up to 64 per pound, while profit from X, the regular mix remained at the current level.
What is the optimal solution or what are the values of X and Y that yield the maximum profit?
This is a multiple-choice question. Pick the correct combination of X and Y values.
○ X=0, Y=0
OX-0, and Y-531
OX-414 and Y=0
OX-288 and Y-315
QUESTION 39
Refer to the LP problem in Question 27.
Suppose the profit from X, the regular mix, has gone up to 70 per pound, while profit from Y, the Deluxe mix has gone down to 28 per
pound.
What will be the maximum profit at the optimal solution?
QUESTION 40
Refer to the LP problem in Question 27.
Suppose the profit from X, the regular mix, has gone up to 70 per pound, while profit from Y, the Deluxe mix has gone down to 28 per
pound.
Then, the linear programming problem has (several) alternative or multiple optimal solutions.
True
False
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