A furniture manufacturer estimates that the weekly cost of manufacturing x units of a particular type of office chair is C(x)=x3-3x2-80x+500 reais. Knowing that each chair is sold at $ 280 and assuming that the entire production is sold, what must be the weekly production of this type of chair so that the manufacturer's profit is maximum?

Q: Solve the given linear programming problem using the table method Maximize P=7x₁ +6x₂ subject to:…

A: Given LPP is max P=7x1+6x2subject to:3x1+x2≤21x1+x2≤10x1+2x2≤12x1,x2≥0 Now using slack  variable max…

Q: Yosef drove 11,500 miles last year. His truck's fuel efficiency averages 18 mpg, and the average…

A: Yosef drove 11,500 miles last year. His truck's fuel efficiency averages 18 miles per gallon average…

Q: Approximate the stationary matrix S by computing powers of the transition matrix P shown below.…

A:

Q: . Using Green's theorem, show that the area of a plane region in polar coordinate is 1 $ C r²do.…

A:

Q: Calculate FdV where F =2i+2z j+yk and V is a space bounded by z=0, z = 4 and x² + y² = 9. X 4 Z ФС 3…

A: Here we can use spherical coordinate but we use peoperty of triple and double integration that it…

Q: Question 5 1 Q.5.1 Determine whether (-pVq) A (q→ -r-p) A(pVr) (denoted with p) is satisfiable.

A:

Q: An anthropologist can use linear functions to estimate the height of a male or female, given the…

A: The length of the humerus x is in centimeters. We have to find the height of a male and a female if…

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y = 11e2x, y(0) = 1, y'(0) = 1 -7.x 11,2x…

A:

Q: Formulate and solve the following linear program: You are trying to create a budget to optimize the…

A: It is a basic questions of linear programming

Q: Solve the initial value problem y" — 5y' — 36y = 0, y(0) = a, y'(0) = −32. - Find a so that the…

A: given initial value problem y''-5y'-36y=0y(0)=α, y'(0)=-32

Q: Solve the given initial-value problem. y(x) = y" + 6y' - 7y = 11e²x, y(0) = 1, y'(0) = 1 2x 7e -7.x…

A:

Q: Numerical Methods Find the numerical second derivative value of f ''(0.5) from the dataset using the…

A: Introduction: When the function values are given in tabular form instead of explicit definition, we…

Q: What are the features of the function f(x) = 2-1 graphed below? -12-11-10-9-8-7-6 as 12 11 S 10 5996…

A: The distance between the graph of a function and its asymptotes becomes 0 at the infinity. For a…

Q: Using Green's theorem, show that the area of a plane region in polar coordinate is 1 f C r²do.…

A: From the Green's Theorem Area:          A=12∮xdy-ydx

Q: (a) / Use the Shell Method to find the volume of the solid generated by revolving the region bounded…

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

Q: Q3/ Solve the following Second order differential equations. 1- d²y dy - 3x - 12x 3 = dx dx² -

A:

Q: Solve the following non-homogeneous second order differential equation, by the method of variation…

A:

Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

A: Please find the solution in next step

Q: Let f(x,y,z) = x2yz4 + 4xy²z+y²z - 3y³z Find fxyz

A:

Q: prove that u=y3-3x²y is a harmonic function determine its harmonic conjugate and find the…

A: consider u(x,y)=y3-3x2y

Q: Graph the solution set of the system of linear inequalities and indicate whether the solution region…

A:

Q: Consider the points A=(1,2,3), B=(-2,1,0), and C=(0,3,1). (a)Sketch a graph of the vector BA with…

A:

Q: Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the…

A:

Q: 12. The part of the cylinder x² + z² = 16 that lies between the planes x Find the area of the…

A: We know that if height of a cylinder be h Units and radius be r units then curved surface area of…

Q: Question 20 Given the equation -4x² + 8x - 4y² – 56y - 4z² + 32z = -312 - a) Show that the given…

A:

Q: Let f be a function with 2 + 3i as the only singular point of it. If 2 + 3i is a removable…

A: Given f be a function with 2+3i as the only singular point of it. If f is a removable singularity of…

Q: Consider a spring-mass system described by the initial value problem y" +0.25y' + 2y = 2 cos(wt),…

A:

Q: The curve Chas polar equation r= 2 cos(1+sine), for 0 << . (a) Find the polar coordinates of the…

A: This is the problem of polar coordinates.

Q: Simplify the following without using the Conjugates of the denominator 1-). 25 3-) 3+41 2-) 10, 3-1…

A:

Q: Exercise 1. Find minimum of the function F(x) with constrains x e D,, i.e. solve the problem: F(x) =…

A: Disclaimer: “Since you have asked multiple questions we will solve the first question for you. If…

Q: It can be helpful to classify a differential equation, so that we can predict the techniques that…

A:

Q: 6. Given the demand equation, P = 100-Q, calculate the price elasticity of demand when P=3 $(a+ß).

A:

Q: Does the series k=1 O converges absolutely O diverges Does the series converges conditionally 1 k6+5…

A:

Q: Find the solution of the differential equation dy dx x+1 (x ≥ 0, y > 0) Y subject to the initial…

A: given differential equation dydx=x+1y    x≥0, y&gt;0 subject to initial condition y(0)=2

Q: I. Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is false. For…

A:

Q: Q29. If we need a lot of adding and removing edges to a graph, it is better to represent the graph…

A:

Q: -** Find the solution set in c Z² + 2i(32i) = 3Z

A:

Q: Find the four fourth roots of 7+27 and express the roots in polar form. [A] 1.64 cis 3.99°, 1.64 cis…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: The sum of the measures of the angles of n-sided polygon can be solved using the formula S = (n −…

A: We have S=n-2180

Q: Modified TRUE or FALSE. Write Tolits if statement is true and Tol if statement is fa statement,…

A: 3.  If the sun is a planet then 3 is even. 4. "Apple is a fruit." is a tautology We have to check…

Q: Q4/ For the function f(x) = 2x+x²-3x³ +6, answer the following: 1 a. What are the critical points…

A:

Q: solve the simultaneois equation (dx)/(dt) = 3x + 2y (dy)/(dt) + 5x + 3y = 0

A:

Q: Y=

A: Given equation : y=cos2xx2+Y2-x=2

Q: Calculate FdV where F = 2i+2zj+yk and V is a space bounded by z = 0, z = 4 and x² + y² = 9. X 4 Z ΦΕ…

A: Here we can use spherical coordinate but we use peoperty of triple and double integration that it…

Q: Determine the third order polynomial below which has the following cartesian confitates (-1,-16),…

A:

Q: nd the unit vector 3i - 4j+ 5k perpendicular to the vectors: 4i + 5j-6k

A: Let the given vectors be  u→=3i-4j+5kv→=4i+5j-6k we have to find the unit vector perpendicular to…

Q: 1. Determine the Taylor Series (5th approximation) of the function defined by f(x) = sinh x about a…

A: Given function f(x)=sinhx A Taylor series of is given by f(x)=∑k=0∞ fkak!x-ak The Taylor series of…

Q: A pond contains 2740 L of pure water and an uknown amount of an undesirable chemical. Water…

A:

Q: The velocities (in mi/hr) of an automobile moving along a straight highway over a 2-hr period are…

A: We will plot points and join them to find graph For mid point rule 1st we need to find intervals and…

Q: Question Create and solve a system of equations to solve the problem. A billboard painter is using a…

A: Introduction: The point where two curves meet each other is the point of their intersections. The…