a. What is the points for a, b and c to this LP problem? b. What is the maximum profit? Show all your work. x+2y Subject to : X+ 3y < 90 3x + 2y < 120 Maximize: Y ... a.

Q: What is the shadow price in the following constrained optimization problem? (Round answer to two…

A: Given : Max      y = 4X1X2 + X12  .          s. t.        2x1 + x2 = 100

Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) = x2 + y? subject to the…

A: Given f(x,y)=x2+y2 and subject to constraint is xy=2 and we need to find the minimum value of given…

Q: Given Cost and Revenue functions C(q)=q^3−9q^2+56q+5000 and R(q)=−3q^2+2500q​, what costs should the…

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Q: Write down (without solving) the dual LP problem. Minimize c = 7s + 7t + 2u subject to s + u 2100 4s…

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Q: Q2) Solve the following LP problem by graph: Maximize P = -x + 5y (x-2y ≥0 y ≤100 Subject to: x + y…

A: Given : Maximize: P = -x + 5y Subject to, x - 2y ≥ 0 y ≤ 100 x + y ≥ 210 x ≥ 0, y ≥ 0 Now, Graph :

Q: The manufacturer of a CD player has found that the revenue R (in dollars) is R(p)=-5p^2+1,920p,when…

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Q: Find the values of​ x, y, and z that maximize xyz subject to the constraint 192−x−8y−16z=0.…

A: Use the lagrangian's multiplier  xyz+λ192-x-8y-16z Partially differentiate with respect to x, y, z…

Q: At noon, ship A is 45 miles south of Ship B. Ship A is sailing north at a rate of 15 miles per hour.…

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Q: Solve the LP problem. If no optimal sc Maximize and minimize p = 2x-y su x+y24

A: In the given question, the concept of Linear Programming is applied. Linear Programming An approach…

Q: Use Lagrange multipliers to solve the following optimization problem. Maximize f(x, y) = xy,…

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Q: a. What is the points for a, b and c to this LP problem? b. What is the maximum profit? Show all…

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Q: Consider the following maximization problem: P(x, y) = 15–x + 5y. subject to: 2x + y > 10 Jr+ 2y 3…

A: Here we solve given linear programming problem using graphical method.

Q: Consider the following optimization problem. Maximize P = xyz with x + y = 24 and y + z = 24, and x,…

A: Given  P=xyz x+y=24,  y+z=24

Q: Ques. 2.Write down the K-T conditions for the following problem: Maximize 3 X-2x2 Subject to 2X1…

A: We are given a nonlinear optimization problem, and we have to find the the KKT-conditions for that…

Q: a. What is the points for a, b and c to this LP problem? b. What is the maximum profit? Show all…

A: The given problem is to solve the given linear programming problem using graphical method.

Q: Maximize Subject to Maximum is X = y = z = 2x + y x + 5y < 4x + 5y ≤ X Y 25 40 νι νι ΛΙ ΛΙ 00 at

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Q: find the values of  x greater than or equal to 0 y greater than or equal to 0 that maximize…

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Q: QUESTION 14 Calculate the maximum value of 9x + 6y subject to the constraints below: 2x + 2y s 18 x…

A: Linear Programming: Linear programming is the basic concept used for Optimisation problems. The…

Q: Suppose that Isabella has 80 hours per week to allocate between work and leisure and she earns $10…

A: Let us take the total number of working hours as H and leisure hours as L.  Then L+H = 80, H = 80-L…

Q: Maximize the function P = 9x - 5y subject to y 2 5x + 6y s 30 8x +3y 2 24 What are the corner points…

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Q: Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning…

A: Please see the attachment

Q: Find two positive numbers x and y that maximize Q = x2y if x + y = 2.

A: Given function - Q = x2y               ...........(1)And,x+y = 2y = 2-x…

Q: Use Lagrange multipliers to find the minimum value of f(x,y) x2 – y? subject to the constraint 2y –…

A: According to question, fx, y = x2 -y2,subject to the constraint 2y-x2 = 0,let gx, y = 2y-x2

Q: at is the shadow price in the following constrained optimization problem? (Round answer to two…

A: Given that Max y=4x1x2 + x12 S.t.    2x1 + x2 =100

Q: Minimize: z = x - y subject to: 4х — Зу <0 x + y < 10 х, у 2 0

A: we will consider inequalities as equality and then draw the graph.

Q: Suppose that x units of one input and y units of a second input result in P = 55x + 65y = x² - y² -…

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Q: What is the optimal solution for the following problem? Maximize P = 3x + 15y subject to 2x + 4y ≤…

A: The given linear programming problem is                     Maximize P = 3x + 15y subject to 2x + 4y…

Q: Find the maximum of the objective function C 5x + 6y subject to the feasibility region below. 12 10…

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Q: Minimize: z = x- y subject to: 4x — Зу <0 х+y < 10 х, у 2 0

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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: If the total revenue and total cost (in dollars) are given by R(x) = 5x – 0.003x² - C(x) = 300 +…

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Q: A farmer wants to make three identical rectangular enclosures along a straight river, as in the…

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Q: If y =4√x- x the value of x that maximizes y is ......... and this maximum is

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Q: Suppose a firm's revenue function is given as R(Q) = 1200Q- Q? and their cost function is C(Q) = Q3…

A: Given: R(Q)=1200Q-Q2C(Q)=Q3-61.25Q2+1528.5Q+2000 To maximize the firm's profit.

Q: Consider the following LP problem: Maximize Z = 30A + 60B Subject to, 4A + 10 B <= 40 0.2A + 0.3B <=…

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Q: Calculate the maximum value of 10x + 5y subject to the constraints below: 2x + 2y s 18 x + 3y s 16 y…

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Q: Apply Simplex method to solve the following problem: Maximize: z = x, +9x, +X3 Subject to: x, +2x,…

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Q: maximize 2= 1.8x, t H,2X2 Subgect to: 2.8X + 3.4x2= 21 1.4x1 +2.2x2 s 11 w+し ×、=o,メ2 Mo what is the…

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Q: 3. Suppose that the utility function for two commodities is given by U = x?y³ and that the budget…

A: Given : U=x2y310x+15y=250   from the 2nd equation : 10x+15y=250x=110250-15y   put this value in…

Q: Consider the following optimization problem. Maximize P = xyz with x + y = 36 and y + z = 36, and x,…

A: We have to find P(y), P'(y) and maximize P.

Q: Find the values of x, y that maximize 7. - 2x? - 2xy - +x+ 9y 13 subject to the constraint x+ y -…

A: The solution of the problem is given in the next step.

Q: A company estimates that if x thous and dollars are spenton markting of a certain product, the QGx)…

A: x       = expenditure on marketing (thousand $)Q(x) = sales (thousand units)Q(x)  = 7x27+x2  for x≥0…

Q: Find the maximum of the objective function C = 2x + 9y subject to the feasibility region below. 12-…

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Q: If the profit function for a firm is given by  P(x) = −5700 + 220x − x2  and limitations on space…

A: A company’s break-even points occur where the revenue function and the cost function have the same…

Q: Maximize the function P = 9x – 8y subject to y 2 6x + 6y < 36 9x + 3y 2 27 What are the corner…

A: We need to maximize the function P=9x-8y subject to the constraints, x≥0y≥06x+6y≤369x+3y≥27

Q: For the feasible set in the figure to the right, determine x and y so that the objective function 5x…

A: The objective function 5x+6y

Q: Suppose that the utility function for two products is given by U = xy', and the budget constraint is…

A: The complete solutions are given below

Q: Find the maximum value of P = x + 6y subject to the following constraints: (2x +4y < 10 X+9y < 12 x…

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