The maximum value is The maximum occurs at the point
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Subject:
![Solve the following linear programming problem.
Maximize: z = 3x + 7y
subject to:
7x + 3y ≤ 21
9x + y ≤ 21
x ≥ 0, y 20
The maximum value is
The maximum occurs at the point
(Type an ordered pair. If the maximum occurs at more than one
or a fraction.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc7fe5a73-45e4-4166-8ba1-50e355550dfc%2F78def6e5-1c6b-41d2-b97c-2bd26744aa37%2Fwtcu0nl_processed.jpeg&w=3840&q=75)
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- Consider the problem of calculating the median m of the following numbers: 4,5,9. (a) Write down the linear program that you could solve, to find the median m. Then put this LP in the form: min c^T x s.t. Ax 2 b, x 2 0, where x is your list of variables. (b) Now write down the dual of the problem above. Call the list of dual variables y. (Hint: there are 6 components of y.)Find the point of intersection of the pair of straight lines. y = −7x − 10 −y = 8x + 2 (x, y) =Maximize P = x + 4y subject to x + y ≤ 4 2x + y ≤ 5 x ≥ 0, y ≥ 0
- Suppose that A and B both have inverses. Find the inverseof the matrix AB.Consider the problem of calculating the median m of the following numbers: 4,5,9. (a) Write down the linear program that you could solve, to find the median m. Then put this LP in the form: min c^T x s.t. Ax ≥ b, x ≥ 0, where x is your list of variables. (b) Now write down the dual of the problem above. Call the list of dual variables y. (Hint: there are 6 components of y.)M is any large number
- If a convex function is multiplied by a negative constant, the result: A. is concave B. could be either convex or concave, depending on the value of the constant C. is convex D. is linearProblem 16-15 (Algorithmic) Strassel Investors buys real estate, develops it, and resells it for a profit. A new property is available, and Bud Strassel, the president and owner of Strassel Investors, believes if he purchases and develops this property it can then be sold for $160,000. The current property owner has asked for bids and stated that the property will be sold for the highest bid in excess of $100,000. Two competitors will be submitting bids for the property. Strassel does not know what the competitors will bid, but he assumes for planning purposes that the amount bid by each competitor will be uniformly distributed between $100,000 and $150,000. Develop a worksheet that can be used to simulate the bids made by the two competitors. Strassel is considering a bid of $130,000 for the property. Using a simulation of 1000 trials, what is the estimate of the probability Strassel will be able to obtain the property using a bid of $130,000? Round your answer to 1 decimal place.…Please show how to solve b
- A survey was conducted to 12 first time voters on their preferred candidate. The results are: BBM, BBM, LR, IM, PL, PL, IM, IM, BBM, BBM, LR, LR. Which statement is true? The Borda score of PL is two points. BBM wins by plurality method. The Condorcet winner is IM. The modes are LR and IM Which of the following is a property of all linear programming problems? alternate courses of action to choose from minimization of some objectives a computer program usage of graphs in the solutionLong-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 = 850 − .1xwherey = Insurance needed ($000)x = Current age of head of household a. Plot the relationship on a graph. b. Use the equation to determine the amount of term life insurance to recommend for a family of four if the head of the household is 30 years old.Use the information below to answer question 2x + 3y + 3z = 2 4x – 3y – 6z = 2 10x – 6y + 3z = 0 1. The determinant of the matrix is: A. -288 B. 144 C. -196 D. 306
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