Q2// Find the optimal point from th nathematical model (by Big-M methods) xZ-150 x+110x)+280 x; x3 S20 と80 X2 S120 Xi, x, x3 20

Q: Estimate and classify the critical points for the graph of the function. 4. -4 1-2 4 -2

A:

Q: Find a pair of non-negative numbers that have a product of 162 and minimize the sum of two times the…

A: Our Aim is to find a pair of non-negative numbers that have a productof 162 and minimizes the sum of…

Q: A fixed cost of $50 thousand was incurred in setting up an operation. At time t months thereafter,…

A: Given : A fixed cost of $50 thousand was incurred in setting up an operation. At time t months, the…

Q: What is the optimal value of the OF for min Z = 4X1 + 3X2, subject to X1 +2 X2 >= 6?

A: Given problem : Min Z =   4 x1 + 3 x2 subject to     x1 + 2 x2 ≥ 6 and…

Q: -1, if { x 21} 3, if { x< 1} 8)Graph fx) = To graph 1) Start at y-int ( 1" point) 2) Apply slope (…

A:

Q: Solve the LP problem. If no optimal unbounded. (Enter EMPTY if the reg Maximize p = x + 2y subject…

A: p=x+2y ---------(1) constraints x+4y&lt;=13 3x+y&lt;=6 x&gt;=0 , y&gt;=0 Lets draw the constraints…

Q: Suppose a corporation manufactures candles at two locations. The cost of producing *1units at…

A:

Q: Show that the interval [0,1) does not have a maximum element; that is, there is no largest number…

A:

Q: Consider the following LP Min z = 3x, + 2x, +7x, s.t =10 - x, + x, -2x, +x, - x, <-10 Can an…

A: So we have a linear programming problem with 3 variable x1,x2,x3 with two constraints.  First we…

Q: Determine the minimum of f(x) = ( 10x³ + 3x² + x + 2 5) ² starting at x = 3 and using a step size A…

A: Given function  f(x)= 10x3+3x2+x+52 Starting at x=3 and step size h=5.0.

Q: To graph 1) Start at y-int ( 1 point) 7)Graph fx) = -x + 1 if { x > 1} -2x, if { x<1} 2) Apply slope…

A: graph

Q: 1. Maximize: Z = 50X, + 100X; + 150X, Subject to: 2X, + 2X2 s 200 3X, s 150 4X, + 4X3 5 600 X,2 0,…

A: Now we will find the solution using Simplex method

Q: The production function for a firm is p(x, y) = 256x"y where x and y are the number of units of…

A: Given p(x,y)=68x34y14

Q: Suppose the feasible region has four corners at these points (0,0), (8,0), (0,12), and (4,8).  If…

A:

Q: The production function for a firm is p(x, y) = 68x"y"", where x and y are the number of units of…

A: By Method of Lagrange's multiplier . To maximize fx,y,z subject to gx,y,z=k  Solve system of…

Q: Determine the number of slack variables required. Maximize       z=15x1+7x2   subject​ to:…

A: Given,          Maximize z=15x1+7x2 subject​ to:              2x1+6x2≤20              15x1+x2 ≤50…

Q: The production function for a firm is p(x, y) = 72x"y"", where x and y are the number of units of…

A:

Q: 5- For the y= 3x V4-x², determine the absolute max and min values within its domain.

A:

Q: The total cost of producing x radio sets per day is $(x² + 35x + 25), and the price per set at which…

A: Given that, The total cost of producing x ratios sets per day is $14x2 + 35x + 25. The price per set…

Q: Giventheprice-demandfunction p(x)=−2x+75, and Total cost function C (x) = 4x +165 . Find the…

A: Given: Price-demand function p(x)=−2x+75, and Total cost function C (x) = 4x +165. Let us plot the…

Q: Minimize Z = 5x1 + 7x2, subject to 2x1 + 3x2 > 147 3x1 + 4x2 > 210 X1 + x2 > 63 and

A: Min Z =   5 x1 + 7 x2 subject to   2 x1 + 3 x2 ≥ 147   3 x1 + 4 x2 ≥ 210     x1 +…

Q: 1. Find non-negative numbers x and y such that x + y = 150 and ²y is maximized. 2. You are to…

A:

Q: 5. Use duality to show that the following LP has an optimal solution 2x1 - X2 Subject to 2x, -X2 - X…

A:

Q: Minimize z = 22x1 + 44x2 + 33x3 subject to x1 + 2x2 + x3 > 3, x1 + x3 3, 3x1 + 2x2 + 2x3 8 using two…

A: Given LPP is  Minimize z=22x1+44x2+33x3Subject tox1+2x2+x3≥3x1+x3≥33x1+2x2+2x3≥8x1,x2,x3≥0 In order…

Q: A company has $10,190 available per month for advertising. Newspaper ads cost $220 each and can't…

A: According to the given information, Let n be the number of newspaper ads to run. And r be the number…

Q: 2.1. Use the steepest-descent method to solve minimize f(x1, x2) = 4x + 2x + 4x1x2 – 3x1, %3D…

A:

Q: Its tot as TR = 300q - 6q² and its total costs as TC = 4q². a) Determine the optimal quantity and…

A: Given : That an engineering firm recently estimated its total revenue function as TR=300-6q2 and its…

Q: Maximize Z = 10x1 + 20x2; Subject to -x1 + 2x2 ≤ 15 x1 + x2 ≤ 12 5x1 + 3x2 ≤ 45 and x1 ≥0, x2 ≥ 0

A: Given -  Maximize Z = 10x1 + 20x2Subject to :-x1 + 2x2 ≤ 15x1 + x2 ≤ 125x1 + 3x2 ≤ 45x1, x2 ≥ 0 To…

Q: Suppose we have a primitive LP software that solves only maximization problems with only nonnegative…

A: We are given that we have a primitive LP software that solves only maximization problems with only…

Q: х2 + 5х —4 minimum point of y х — 5

A: The point of minimum can be obtained by differentiating the function and equating it to 0. The…

Q: How do you find the critical point of 1/x+3

A: To find the critical points (if they exist) for the given function

Q: alternative ax was created to prevent weälthy using creative deductions and shelters to avoid having…

A:

Q: With the extra profits generated from the new customers, Jacobi is considering expanding his product…

A: Given, sample mean=$364 Sample S.D=$35 Alpha=5%=0.05

Q: State the rules used for unconstrained (regular) optimization and for constrained optimization.

A:

Q: Solve by HEURISTIC METHOD. Maximize Z MAXIMIZAR Z=X1+ 5X2 +7X3+ 3X4 Sa. 7X1 + 3X2 + 2X3 +4X4 <21 8X1…

A: We have linear programming problem with us. Maximize Z=X1+5X2+7X3+3X4subject to, 7X1+3X2+2X3+4X4≤21…

Q: 9. Maximize subject to 2x + 7x2 -2x, + x2S-4 X - 2x S-4 and x 2 0, x2 2 0.

A: 9 Given Maximize Z=2x1+7x2 Subject to −2x1+x2≤−4x1−2x2≤−4 And x1≥0, x2≥0 Solve equation −2x1+x2=−4…

Q: 1. When a company prices its training seminar at $395 per person, 1,010 people will attend. For each…

A: given initial condition as:when price per person i.e. x = $395then revenue R(x) = 395*1010 Now from…

Q: Q2// Find the optimal point from the * :mathematical model (by Big-M methods) Max Z=150 x, +110x+…

A: We solve given LPP by Big-M Method.

Q: Q2// Find the optimal point from the :mathematical model (by Big-M methods) Max Z-150 x +110x+280 x3…

A: We can solve this using Big-M methods

Q: Use the algorithm for finding extreme values to determine the ABSOLUTE MAXIMU OLUTE MINIMUM values…

A:

Q: During each 6-hour period of the day, the Bloomington Police Department needs at least the number of…

A: Amount paid to the policemen for working 12 consecutive hours=$15 /hour Amount paid to the policemen…

Q: An emergency unit is to be placed in a facility consisting of four manufacturing cells in which most…

A: - create excel model as follows

Q: Since the feasible region is closed and bounded, we know that the maximum value will occur at…

A:

Q: Given P=5900-10Q, Costs that will not change due to production is $845 and Cost that depends on use…

A: In this question, we have to find the optimal output and maximum profit by second-order condition…

Q: 9. Use the Simpiex method te maxiMIze Subject to 2x +34<30, Choose the correct sauton

A: Please check your option D. In option D value of Max Z should be 840 instead of 864.

Q: A company operates 16 oil wells in a designated area. Each pump, on aver- age, extracts 240 barrels…

A: The given data are: A company operates 16 oil wells in a designed area. on average age, extracts 240…

Q: Find the multiple solutions. Maximize  z = 45x1 + 30x2,  subject to 2x1  +  9x2  ≤  144 2x1  +…

A: z=45x1 +30x2subject to 2x1 +9x2 ≤1442x1 +3x2 ≤603x1 +2x2 ≤75x1 ≥0 , x2 ≥0  To find : Maximum value…

Q: Consider the optimization problem defined by minimize 2x1 - 3x2 subject to -1/5 x1 + 2/5 x2 -4…

A:

Q: Prove that among all rectangles of a fixed area, the square has the least perimeter. Determining…

A: Prove that among all rectangles of a fixed area, the square has the least perimeter.…

Q: 8 Graphically find all optimal solutions to the follow- ing LP: min z = x1 – x2 s.t. X1 + x2 < 6 X1…

A: