Graph the constant-profit lines for the objective function Upper P equals 3 x+6y through (4,4) a...
Graph the constant-profit lines for the objective function Upper P equals 3 x+6y through (4,4) and also through (6,6). Use a straightedge to identify the corner point where the maximum profit occurs. Confirm your answer by constructing a corner point table.
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Graph the constant-profit lines for the objective function Upper P equals 3 x+6y through (4,4) a...
Consider the function x) = 6x + x2 and the point P(-2,-8) on the graph of f (a) Graph f and the secant lines passing through P(-2, -8) and Q(x, f(x)) for x-values of -3, -2.5, -1.5 -10 -8 68 10 -10 -...
Consider the function x) = 6x + x2 and the point P(-2,-8) on the graph of f (a) Graph f and the secant lines passing through P(-2, -8) and Q(x, f(x)) for x-values of -3, -2.5, -1.5 -10 -8 68 10 -10 -8 2 46 810 -2 -8 8 10 8 10 -10-8 -10-8 -8 (b) Find the slope of each secant line (line passing through Q(-3, f(x))) (line passing through Q(-2.5, f(x))) (line passing through Q(-1.5, f(x))) (c) Use...
Given the system of linear inequalities below. You are completing a maximization problem where you have...
Given the system of linear inequalities below. You are completing a maximization problem where you have 2 machines, Machine 1 and Machine 2, which we will identify as M1 and M2. These machines produce 2 products, Product 1 and Product 2, which we identify as P1 and P2. Our objective function is M = 20x + 50y. 3x + y =21 4x +y 27 x 20 (y20 Suppose you are told that the maximum occurs at a vertex (corner point)...
2:45 webassign.net ASSnts A LCal 0 Consider the function f(x) and the point P(4,2) on the graph f (a) Graph fand th...
2:45 webassign.net ASSnts A LCal 0 Consider the function f(x) and the point P(4,2) on the graph f (a) Graph fand the secant lines passing through the point P(4, 2) and Q(x, fx)) for x-values of 1, 6, and 8 (b) Find the slope of each secant line. (Round your answers to three decimal places.) (line passing through Q(1, f(x)) (line passing through Q(6, fx)) (line passing through Q(8, f(x)) (c) Use the results of part (b) to estimate the...
Page 3 of 16 2. Profit maximization for a manufacturing company: The production cost function for...
Page 3 of 16 2. Profit maximization for a manufacturing company: The production cost function for ABC Manufacturing Company is C(x) - 8000x + 200,000 (05XS 200) where x number of units produced. The revenue function, R(x), is: R(x) – 22,000x - 70x (a) Find the profit function, P(x) for this company. [10 points) P(x) = R(x)-[(x) 5 (22,000x - 70X?) - -8000x + 200,000 P(x)=-70 x?+14000 x -20900 PCx) = -70x2 + 1400U X - 700,000 (b) Determine the...
(1 point) The profit function for a computer company is given by P(x) = -x2 +...
(1 point) The profit function for a computer company is given by P(x) = -x2 + 31x – 22 where x is the number of units produced (in thousands) and the profit is in thousand of dollars. a) Determine how many (thousands of) units must be produced to yield maximum profit. Determine the maximum profit. (thousands of) units = maximum profit = thousand dollars b) Determine how many units should be produced for a profit of at least 40 thousand....
Problem 1. [12 points; 4, 4, 4- Consider the function f(x,y) 1 2- (y-1)2 (i) Draw the level curve through the point P(1...
Problem 1. [12 points; 4, 4, 4- Consider the function f(x,y) 1 2- (y-1)2 (i) Draw the level curve through the point P(1, 2). Find the gradient of f at the point P and draw the gradient vector on the level curve (ii) Draw the graph of f showing the level curve in (i) on the graph (iii) Explain why the function f admits a global minimum over the rectangle 0 x 2, y 1. Determine the minimum value and...
Solve using the graphical method. Choose your variables, identify the objective function and the constraints, graph the...
Solve using the graphical method. Choose your variables, identify the objective function and the constraints, graph the constraints, shade the feasibility region, identify all corner points, and determine the solution that optimizes the objective function. Use this information to answer the following 8-part question: A small company manufactures two types of radios- regular and short-wave. The manufacturing of each radio requires two operations: Assembly and Finishing. The regular radios require 1 hour of Assembly and 3 hours of Finishing. The...
(Ref. Ch. 14 Exercise on p. 393. Oakshott's book) Example 18.1 A particular linear programming problem...
(Ref. Ch. 14 Exercise on p. 393. Oakshott's book) Example 18.1 A particular linear programming problem is formulated as follows: Min. Z 2500x + 3500y Subject to: 5x + by > 250 4x + 3y > 150 x + 2y 70 () Find the x- and y-intercepts (i.e., where the line crosses the axes) of the line that is for the constraint 5x + 6y > 250 Select one: a. (x,y) (0,41.67) and (x, y) = (50,0) o b.(x,y) (41.67,0)...
(Ref. Ch. 14 Exercise on p. 393. Oakshott's book) Example 18.1 A particular linear programming problem...
(Ref. Ch. 14 Exercise on p. 393. Oakshott's book) Example 18.1 A particular linear programming problem is formulated as follows: Min. Z 2500x + 3500y Subject to: 5x + by > 250 4x + 3y > 150 x + 2y 70 () Find the x- and y-intercepts (i.e., where the line crosses the axes) of the line that is for the constraint 5x + 6y > 250 Select one: a. (x,y) (0,41.67) and (x, y) = (50,0) o b.(x,y) (41.67,0)...
clear writing please 2. We Got Time has collected data on their Marginal Profit function for...
clear writing please
2. We Got Time has collected data on their Marginal Profit function for their new "Calculus" line of watches. You don't have the formula that generates this graph (and you don't need it). Given the information in the graph, determine at what quantity of watches We Got Time will have a relative maximum or relative minimum Profit. (you don't have to worry about the endpoints) For any relative extrema that you find, explain with words and mark...
Consider the function x) = 6x + x2 and the point P(-2,-8) on the graph of f (a) Graph f and the secant lines passing through P(-2, -8) and Q(x, f(x)) for x-values of -3, -2.5, -1.5 -10 -8 68 10 -10 -8 2 46 810 -2 -8 8 10 8 10 -10-8 -10-8 -8 (b) Find the slope of each secant line (line passing through Q(-3, f(x))) (line passing through Q(-2.5, f(x))) (line passing through Q(-1.5, f(x))) (c) Use...
Given the system of linear inequalities below. You are completing a maximization problem where you have 2 machines, Machine 1 and Machine 2, which we will identify as M1 and M2. These machines produce 2 products, Product 1 and Product 2, which we identify as P1 and P2. Our objective function is M = 20x + 50y. 3x + y =21 4x +y 27 x 20 (y20 Suppose you are told that the maximum occurs at a vertex (corner point)...
2:45 webassign.net ASSnts A LCal 0 Consider the function f(x) and the point P(4,2) on the graph f (a) Graph fand the secant lines passing through the point P(4, 2) and Q(x, fx)) for x-values of 1, 6, and 8 (b) Find the slope of each secant line. (Round your answers to three decimal places.) (line passing through Q(1, f(x)) (line passing through Q(6, fx)) (line passing through Q(8, f(x)) (c) Use the results of part (b) to estimate the...
Page 3 of 16 2. Profit maximization for a manufacturing company: The production cost function for ABC Manufacturing Company is C(x) - 8000x + 200,000 (05XS 200) where x number of units produced. The revenue function, R(x), is: R(x) – 22,000x - 70x (a) Find the profit function, P(x) for this company. [10 points) P(x) = R(x)-[(x) 5 (22,000x - 70X?) - -8000x + 200,000 P(x)=-70 x?+14000 x -20900 PCx) = -70x2 + 1400U X - 700,000 (b) Determine the...
(1 point) The profit function for a computer company is given by P(x) = -x2 + 31x – 22 where x is the number of units produced (in thousands) and the profit is in thousand of dollars. a) Determine how many (thousands of) units must be produced to yield maximum profit. Determine the maximum profit. (thousands of) units = maximum profit = thousand dollars b) Determine how many units should be produced for a profit of at least 40 thousand....
Problem 1. [12 points; 4, 4, 4- Consider the function f(x,y) 1 2- (y-1)2 (i) Draw the level curve through the point P(1, 2). Find the gradient of f at the point P and draw the gradient vector on the level curve (ii) Draw the graph of f showing the level curve in (i) on the graph (iii) Explain why the function f admits a global minimum over the rectangle 0 x 2, y 1. Determine the minimum value and...
(Ref. Ch. 14 Exercise on p. 393. Oakshott's book) Example 18.1 A particular linear programming problem is formulated as follows: Min. Z 2500x + 3500y Subject to: 5x + by > 250 4x + 3y > 150 x + 2y 70 () Find the x- and y-intercepts (i.e., where the line crosses the axes) of the line that is for the constraint 5x + 6y > 250 Select one: a. (x,y) (0,41.67) and (x, y) = (50,0) o b.(x,y) (41.67,0)...
(Ref. Ch. 14 Exercise on p. 393. Oakshott's book) Example 18.1 A particular linear programming problem is formulated as follows: Min. Z 2500x + 3500y Subject to: 5x + by > 250 4x + 3y > 150 x + 2y 70 () Find the x- and y-intercepts (i.e., where the line crosses the axes) of the line that is for the constraint 5x + 6y > 250 Select one: a. (x,y) (0,41.67) and (x, y) = (50,0) o b.(x,y) (41.67,0)...
clear writing please
2. We Got Time has collected data on their Marginal Profit function for their new "Calculus" line of watches. You don't have the formula that generates this graph (and you don't need it). Given the information in the graph, determine at what quantity of watches We Got Time will have a relative maximum or relative minimum Profit. (you don't have to worry about the endpoints) For any relative extrema that you find, explain with words and mark...
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