In the least-squares line  = 5 – 9x, what is the value of the slope? When x changes by 1 unit, by how much does y change? When x increases by 1 unit, y decreases by 9 units. When x decreases by 1 unit, y decreases by 9 units.     When x increases by 1 unit, y decreases by −9 units. When x increases by 1 unit, y increases by 9 units.

Q: Use lagrange multipliers to find three positive numbers whose sum is 51 and the sum of whose squares…

A: Given that, the sum of the positive number is 51. That is, Fx,y,z=x2+y2+z2 and gx,y,z=x+y+z=51.…

Q: If P(x) = 3+ 5x – x represents the profit in selling x thousand Boombotix speakers, how many…

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Q: In the least-squares line y = 5 - 2x, what is the value of the slope? When x changes by 1 unit, by…

A: The slope is -2. Thus, the value of slope is -2. For every one unit increasing variable x, there…

Q: In a study of the relationship between the Brinell hardness (x) and tensile strength in ksi (y) of…

A: Given Information Least square line y = -196.32 + 2.42x Predicting the tensile strength of a…

Q: A firm’s revenue after selling q items is given by R(q) = 2q3 +36q while the firm’s costs after making…

A: R(q) = 2q3 +36qC(q) = 3q2 −10Profit, P(q) = R(q) - C(q) = 2q3 +36q - (3q2 −10) = 2q3 - 3q2 +…

Q: 2A. Dominique clothing line can produce a maximum of 4800 dresses in a year. If it sells x dresses…

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Q: Suppose a company's profits are given by P = x^2 y, where x is the amount of money they spend on TV…

A: given  P = x^2 y x+y=12

Q: The general solution of y" + 16y cost is: Select one:

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Q: Maximize z = 2x1 + 3x2 + x3 S.t. x1 + x2 + x3 10 -x2 + x3 2 10 X1, X2, x3 20

A: We solve the given LPP problem Using two phase method. For complete solution kindly see the below…

Q: In the least-squares line  ŷ = 5 − 3x,  what is the value of the slope?

A: Regression:   Regression is a technique that is used to determine relationship between two or more…

Q: C=40x-0.02x²-600.

A: C=40x-0.02x2-600 Differentiate the provided cost function with respect to x.…

Q: Each month for several months, the average temperature in °C (x) and the number of pounds of steam…

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Q: Each month for several months, the average temperature in °C (x) and the number of pounds of steam…

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Q: If you wish to find the least squares line of best fit y = mx + c through the points (2, 1), (2, 3),…

A: The equation of the line is y=mx+c. The line passes through the points 2,1, 2,3, 5,4. Calculate the…

Q: A company operates two plants which manufacture the same item and whose total cost functions are C1…

A: Givne that  The total cost functions  And price  To maximize the profit  To find q1 and q2

Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…

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Q: A manufacturer has determined that the total cost C of operating a factory is C = 2.5x2 + 75x +…

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Q: Use Lagrange multipliers to find the maximum production level when the total cost of labor (at $113…

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Q: Find the equation y = Bo + B₁ of the least-squares line that best fits the five points (-3, 4),…

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Q: A bus service carries 10 000 people daily between Ajax and Union Station. and the company has space…

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Q: A company operates two plants which manufacture the same item and whose total cost functions are C₁…

A: given  C1=7.5+0.03q12C2=3.8+0.05q22 where q1, q2 are the quantities produced by each plant. total…

Q: A company manufactures two types of sneakers: running shoes and basketball shoes. The total revenue…

A: Given ,Revenue from x1 units of running shoes and                           x2 units of basketball…

Q: 4. The profit function of Firm GG is n=-2q2+280q. What is the profit maximizing quantity?What is the…

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Q: Find the best quadratic least squares fit to the data x 0 1 2 3 y 3 2 4 4

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Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

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Q: A bus service carries 10 000 people daily between Ajax and Union Station and the company has space…

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Q: Maximize Z = 19x1 + 8x2 subject to 9x1 + 16x2 0

A: Consider the given problem.

Q: A fertilizer producer finds that it can sell its product at a price of p = 500 – 0.1x dollars per…

A: Given:       Price p=500-0.1x      Revenue =price times quantity sold         R(x)=500x-0.1x2  cost…

Q: A fertilizer producer finds that it can sell its product at a price of p = 1000 – 0.2x dollars per…

A: We need to find units to maximize profit.

Q: If the sum of squares regression (SSR) is 150, The total sum of squares (SST) is at least 150. O b.…

A: It is given that the sum of squares regression (SSR) is 150.

Q: (a) Find the equation of the least squares line would allow you to predict the percentage of alumni…

A: (a)   Use EXCEL to obtain the regression equation.   EXCEL procedure:   Go to EXCEL Go to…

Q: on for the number of reported dead birds (x) versus the number of human West Nile virus cases (y) is…

A: Let us define the independent  (X) and dependent (Y) first. Let, X be the number of reported dead…

Q: A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to an…

A: Given A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to…

Q: Q1. Which equation can show the "linearity" of Ordinary Least Square (OLS) assumption? A) Y=B1 +…

A: A linear regression equation only sums the terms in the model while the model must be linear in the…

Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

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Q: A chemical manufacturer sells sulfuric acid in bulk at a price of $100 per unit. If the daily total…

A: Given:    Cx=100,000+50x+0.003125x2 To solve the amount of sulfuric acid to maximize the profit we…

Q: A car manufacturer estimated that the cost of production of "x" cars of a certain model is C = 20x –…

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Q: Assume that it costs a company approximately C(x) =34,026+600x+0.05g² to manufacture x gaming…

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Q: An oil- producing country can sell 7 million barrels of oil a day at price of $90 per barrel. If…

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Q: A company manufactures two types of athletic shoes: jogging shoes and cross-trainers. The total…

A: Rx(x,y)= -10x-2y+42 Ry(x,y) = -16y-2x+102

Q: Find the value of x that minimizes average cost if the cost function is C = x2 +5x+72

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Q: A fertilizer producer finds that it can sell its product at a price of p = 3000 – 0.6x dollars per…

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Q: (b) The equation of the least squares line is y = 282.0464-0.08882

A: We have given that, The data set are:- X:- 61, 66, 116, 120, 87, 85, 102, 99 Y:- 278, 273, 278, 264,…

Q: 3. The cost for making x gizmos is C(x) = x2 - 8x + 30. How many gizmos should be made to minimize…

A: Given C(x)=x2-8x+30

Q: For the line of best fit in the least-squares method,

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Q: Maximize Subject to · P= 30x +4082 2x₁+x₂ ≤ 30 X₁ + X₂ ≤21 *₁+2x₂ ≤ 36 X₁ X₂ 20

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Q: a) Predict the number of pounds of steam consumed in a month where the average temperature is 65°C.…

A: y = 245.82 + 1.11x

Q: A delivery company wants to come up with a package box that has a square base and a volume of 40…

A: The dimensions for least amount of material is let X is the base edge and height of the box is h X=…

Q: A firm producing two goods “X" and "Y" has the profit function Z= 640X – 20X? + 40XY - 40Y² + 320Y –…

A: We will find out the required value.

Q: Maximize z = 18x1 + 16x2 Subject to 15x1 + 25x2 < 375 24x1 + 11x2 < 264 X1, X2 2 0 ard

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