L.P. Model: Minimize Subject to: Z = 24X+30Y 7X+11Y ≥ 66 16X+4Y≥ 80 X,YZ0 (C₁) (C₂) On the graph on right, constraints C₁ and C₂ have been drawn. Using the point drawing tool, plot all the corner points for the feasible area. C 24- 22- 20- 18- 16- 14- > 12- 10- 8- 6- 9⁹ st 4- 2- 0- 1/ 10 20
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- 19. What combination of x and y will yield the optimum for this problem? Maximize $3x + $15y, subject to (1) 2x + 3y ≤ 12 and (2) 5x + 2y ≤ 10 and (3) x, y ≥ 0. Part 2 A. x = 0, y = 3 B. x = 2, y = 0 C. x = 0, y = 0 D. x = 0, y = 4 E. x = 1, y = 5construct the oc curve for a single draw N=1,650; n=80 and c=2 for P=0%,0,5%, 1%, 1.5%,2%, 3%, 4%,5%,6%Refer to the following sensitivity report: Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 5 2 1E+30 $B$3 Product_2 175 0 7 1E+30 1 $B$4 Product_3 0 −1.5 9 1.5 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700 If the objective function coefficient for Product_1 were increased to a value of 8, which of the following would be TRUE? The optimal solution would change. The optimal objective function value would stay the same. Product_1 would enter the solution (the final value of the variable Product_1 would be greater than zero).
- Refer to the following sensitivity report: Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 5 2 1E+30 $B$3 Product_2 175 0 7 1E+30 1 $B$4 Product_3 0 −1.5 9 1.5 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700 If the right-hand side of Resource_C increases to 750, which of the following would be true The objective function value will increase by $1.75 The objective function value will decrease by $1.75 The objective function value will increase by $87.50 The objective function value will decrease by $87.50 None of the answer choices is correctRefer to the following sensitivity report: Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 5 2 1E+30 $B$3 Product_2 175 0 7 1E+30 1 $B$4 Product_3 0 −1.5 9 1.5 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700 If the objective function coefficient for Product_1 were decreased to a value of 3, which of the following would be TRUE? The optimal solution would change. The optimal objective function value would stay the same. Product_1 would enter the solution (the final value of the variable Product_1 would be greater than zero).Refer to the following sensitivity report: Variable Cells Cell Name Final Value Reduced Cost Objective Coefficient AllowableIncrease AllowableDecrease $B$2 Product_1 0 −2 5 2 1E+30 $B$3 Product_2 175 0 7 1E+30 1 $B$4 Product_3 0 −1.5 9 1.5 1E+30 Constraints Cell Name Final Value Shadow Price Constraint R.H.Side AllowableIncrease AllowableDecrease $H$9 Resource_A 0 0 100 1E+30 100 $H$10 Resource_B 525 0 800 1E+30 275 $H$11 Resource_C 700 1.75 700 366.6666667 700 If the objective function coefficient for Product_1 were decreased to a value of 3, which of the following would be TRUE? The optimal solution would change. The optimal objective function value would stay the same. Product_1 would enter the solution (the final value of the variable Product_1 would be greater than zero). A. 1 only B. 2 only C. 3 only D. 1, 2 and 3 E. Only 1 and 2
- graph the following constraints: x + y <= 60 15x + 30y <= 20 0.9y > = 0.10x x > = (2/3) y Explan in detail#6) A group of medical professionals is considering constructing a private clinic. If a patient demand for the clinic is high, the physicians could realize a net profit of $120,000. If the demand is low, they could lose $55,000. Of course, they do not have to proceed at all, in which case there is no cost. In the absence of any market data, the best the physicians can guess is that there is a 50-50 chance the demand would be high. a) Create a decision tree. b) What should the medical professionals do? What is the payoff? c) The physicians have been approached by a market research firm that offers to perform a study of the market at a fee of $5,000. The market researchers claim that their experience enables them to use Bayes’ theorem to make the following statements of probability: -probability of high demand given a positive survey result = 0.82 -probability of low demand given a positive survey result = 0.18 -probability of high demand given a negative survey result = 0.11…What is the computed point estimate given X = .45 and n=2?
- Briefly explain these terms:a. Basic variableb. Shadow pricec. Range of feasibilityd. Range of optimality6) Nicole has decided to go to school which costs her a total of P19,500 and give upi on a job that paid her P24,900 for the year. But instead, she can hope to earn P29,900 after she graduates. Nicole's opportunity cost amount to?a. P19,500 b. P24,900c. P29,900d. P5,000 7. Villanueva Enterprises reported the ff. information. What is the cost of goods manufactured in February?I. Jan. 2017 -job accumulated cost of P3,000ii. Feb. 2017 -the following costs were added to production: Job 1-P10,000 Job 2-P8,000Job 3-P7,000 III. Feb. 2017 Job 1 was completed and sold for P18,000 Job 2 was completed but not sold Job 3 remains in production b. P8,000c. P10,000 d. P13,000e. P21,000 8. Julie borrowed a certain amount from Diane on June 2016. Two years later, Julle i again borrowed P5,000. Julie decided to pay P1,000 on June 2019 and dischargei her balance by paying P7,500 on June 2021. What was the amount borrowed oni June 2016 if the interest rate is 8% compounded annually?a. P1,389.50 b.…Joseph Biggs owns his own ice cream truck and lives 30 miles from a florida beach resort. The sale of his products is highly dependent on his location and on the weather. At the resort, his profit will be $120 per day in fair weather, $10 per day in bad weather. At home, his profit will be $70 in fair weather and $55 in bad weather. Assume that on any particular day, the weather service suggests a 40% chance of foul weather. A) Construct Joseph's decision tree. B) What decision is recommended by the expected value criterion? NOTE: Please answer it all. Thank you so much. God bless! :)))