Suppose the feasi ble region has four corners, at points (0, 0), (4, 0), (0, 3), and (3, 2) If the profit formula is $3x $2y, the maximum value for the profit is $ (Give your answer as a whole number.)

Q: Suppose that X and Y are independent measurement of a quantity μ. E(X) = E(Y) = μ,     σX ≠ σY,…

A: It is an important part of statistics. It is widely used.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: Given objective function  f(x,y,z) = xyz  constraint  g(x,y,z) = x+y+z-12  we need to maximum value…

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Q: Suppose that a company needs 1,800,000 items during a year and that preparation for each production…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: Given f(x, y, z) = xyz with constraint:  x + y + z - 12 = 0

Q: Suppose that a company has received an order for 200 units of its product and wishes to distribute…

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Q: JACEM makes and sells two competing products, burgers and pizza, that cost $C, and $C, per unit,…

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Q: Show that the problem B symmetric minimize || B A ll subject to Be R is solved by A + AT B= %3D

A: To show that the problem minimizeB∈ℝn×n∥B-A∥F subject to B being symmetric is solved by B=A+AT2

Q: Of all numbers whose sum is 46, find the two that have the maximum product. That is, maximize Q = xy…

A: Given ,           x+y=46           Maximize , Q=xy

Q: consider two nonnegative numbers z and y such that z + y = 12. Maximize and minimize the quantity…

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Q: The profit equation for for Scotty’s Socks is given by P (q) = (2/3)q3 −(q^2) − 4q + 8, where q is…

A: Given the equation of profitP(q)=23q3−q2−4q+8

Q: Given the LP Model Minimize: z = x- y subject to: 4х — Зу s0 x + y < 10 х, у 2 0

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Suppose that a company needs 1,800,000 items during a year and that preparation for each production…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A:

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

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Q: The land of Nod has the income distribution curve y = 0.2x³+0.6x²+0.2x, where y(x) is the percentage…

A: Given:Income distribution curvey=0.2x3+0.6x2+0.2xWhere y(x) is the percentage of the national income…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

Q: Of all numbers whose sum is 52, find the two that have the maximum product. That is, maximize Q = xy…

A: Given, Q=xy                        ...(1) Where x+y=52⇒y=52-x                            ...(2)

Q: Let f(x, y) = x² - y² + 2y. Find the absolute maximum and minimum values of f on the region 4x2 + y²…

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Q: 2. A cafe estimates a monthly profit (in thousand pesos) of P(x, y) = 27 – x? – y² + 6y if they open…

A: Given: A cafe estimates a monthly profit, P(x, y)=27-x2-y2+6y and the region D=x, y∈ℝ2 : x2≤y≤4. To…

Q: Find positive numbers x and y such that x + y = 48 and 5x2y + 10 is maximized.

A: Given that, x + y= 48 y = 48 - x ................... (1) The function is: f(x, y) = 5x2 y+ 10 f(x) =…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive.…

A: The given equations are fx,y=6-x2-y2 and x+y-2=0

Q: Sketch the region that corresponds to the given inequalities. 16x + 8y 2 80 8x + 16y 2 80 8x + 8y 2…

A: Given:     16x+8y≥ 808x+16y≥ 808x+8y≥ 64x≥ 0y≥ 0

Q: Sketch the region R determined by the given constraints, and label its vertices. Find the minimum…

A: The equations and the constraints given are  C=3x+6yx≥0,y≥02x+3y≥12,2x+5y≥16

Q: Sketch the region that corresponds to the given inequality. 6x + y s 8 y 15 15 10 10 5A Solution Set…

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Q: Sketch the region R determined by the given constraints, and label its vertices. Find the minimum…

A: 3x+y≥3x+5y≤152x+y≤12C=6x+y , y≥0

Q: Draw the region in the xy plane where x+2y = 6 and x 2 0 and y 2 0. Which point in this "feasible…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: To use Lagrange multipliers to find the indicated exrema, assuming that x and y are…

Q: Suppose we find x =2 and y = 6 to be the proposed dimensions of a rectangle that minimize its area.…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive.…

A: The given function is fx, y=xy subject to x+y=10. Let Fx,y=xy+λx+y-10. This implies that,…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A: Maximize f(x,y)=4x+4xy+y Constraint: 4x+y=200.

Q: A firm has 2 plants with different functions: - Plant 1: MC = 30 + Q - Plant 2: MC = 20 + 2Q How to…

A: Let us take the outputs of plant1 as Q1 and outputs of plant 2 as Q2.  Then the required marginal…

Q: Maximize f(x, y, z) = x² + y² +z? Constrain x+2z = 6, x+ y =12

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Q: Suppose a manufacturer has determined that the total cost C of operating a factory is C =0.4x² + 17x…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: Given Maximize: f(x, y, z) = xyz Constraint: x + y + z - 9 = 0

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: Here, to maximize the function f(x,y,z)=xyz using the constraint g(x,y,z)=x+y+z-6=0...(1)

Q: What is the best description of point (0, 0) on the plot C) above? (i) Local minimum (ii) Local…

A: At point (0,0) As we move in +ve x -direction, from x = (-2,2) and keeping y = 0.For x(-2,0) :…

Q: A company manufactures bicycles and skateboards. The compan bicycles cannot exceed 10, and its daily…

A: Solution-

Q: 7- 4- 3- -1 2 3 4 5 6 7 8 9 10 Maximize x-5 y for the bounded feasible region displayed above.

A: We have to find the maximum value of (x - 5y) fir the given feasible region in the graph. Using…

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: Sketch the region that corresponds to the given inequalities. 2x + 4y 2 20 ys 5 x2 0, y 2 0 y y y 10…

A: Since x≤5 and y≤5, so second and third graph cannot be the required region because in second one…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A: Given that fx,y,z=xyz  with  x+y+z-3=0. Consider Hx,y,z=xyz-λx+y+z-3. Now solve the system as…

Q: The area of a rectangle is A = LW. If three sides of the rectangle are fixed, 2W + L = 40, what are…

A: "Since you have asked multiple question, we will solve the first question for you.If you want any…

Q: Ay 10어 6- (3, 5) 4- (어4) (7, 3) 2- (4, 1) 0어 4 6. 8. 10 N.

A: Here's in the graph there are four constraints, we will check all points which one is maximum.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positiv Maximize…

A: The given function is;  f(x,y)=sqrt(43-x2-y2) Constraint: x+y-6=0

Q: Consider two nonnegative numbers x and y such that x+y=10. Maximize and minimize

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