Consider the following linear programming problem: Maximize 4X + 10Y Subject to: 3X + 4Y ≤ 480 4X + 2Y ≤ 360 all variables ≥ 0 The feasible corner points are (48,84), (0,120), (0,0), (90,0). What is the maximum possible value for the objective function?
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Consider the following linear programming problem:
Maximize 4X + 10Y
Subject to:
3X + 4Y ≤ 480
4X + 2Y ≤ 360
all variables ≥ 0
The feasible corner points are (48,84), (0,120), (0,0), (90,0). What is the maximum possible value for the objective function?
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- . Consider the following linear programming problem: Maximize 12X + 10Y Subject to: 4X + 3Y = 480 2X + 3Y 360 all variables 20 Which of the following points (X,Y) is not feasible? a (70,70) b. (20,90) c. (100,10) d. (0,100) كلا أجرب الأرقام بالـؤالShow that any 2 *2 matrix A that does not have aninverse will have det A= 0.Consider the following optimization problem: “Consider the ellipse given by . If you inscribe a rectangle in this ellipse, what are the dimensions of the rectangle that maximize its area? What is the maximum area?” Without actually solving the problem, detail the steps you would take if you were asked to solve the problem (say on an exam or homework). In other words, walk through the problem so you demonstrate an understanding of how you would go about finding the dimensions of the rectangle that maximize its area and the maximum area.
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- Long-Life Insurance has developed a linear model that it uses to determine the amount of term life Insurance a family of four should have, based on the current age of the head of the household. The equation is: y=150 -0.10x where y= Insurance needed ($000) x = Current age of head of household b. Use the equation to determine the amount of term life Insurance to recommend for a family of four of the head of the household is 40 years old. (Round your answer to 2 decimal places.) Amount of term life insurance thousandsApply Linear Programming to the Folling Question: Dan Reid, chief engineer at New Hampshire Chemical, Inc., has to decide whether to build a new state-of-art processing facility. If the new facility works, the company could realize a profit of $200,000. If it fails, New Hampshire Chemical could lose $150,000. At this time, Reid estimates a 60% chance that the new process will fail. The other option is to build a pilot plant and then decide whether to build a complete facility. The pilot plant would cost $10,000 to build. Reid estimates a fifty-fifty chance that the pilot plant will work. If the pilot plant works, there is a 90% probability that the complete plant, if it is built, will also work. If the pilot plant does not work, there is only a 20% chance that the complete project (if it is constructed) will work. Reid faces a dilemma. Should he build the plant? Should he build the pilot project and then make a decision? Help Reid by analyzing this problemFor a "Dual minimization problem" with optimal point equal to (x1 = 5, x2 = 1) and best Z = 56, its respective "Primal maximization problem " would have Please choose the option that would best fit the empty space above. Its respective best Z also equal to 56. Shadow prices equal to 1 (x1) and 5 (x2), respectively. Shadow prices exactly the same as the shadow prices obtained in the Primal problem. Exactly the same optimal point. None of the above