Mondo furniture manufacturer, determines that in order to sell x tables, the price per table in rands must be p= 350 - 0.025x. It determines that the total cost of producing x tables is given by C(x) = 2700 + 126x + 0.01x2 . Find the price per table that produces the maximum profit is R

Mondo furniture manufacturer, determines that in order to sell x tables, the price per table in rands must be p= 350 - 0.025x. It determines that the total cost of producing x tables is given by C(x) = 2700 + 126x + 0.01x2 . Find the price per table that produces the maximum profit is R

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter4: Systems Of Linear Equations

Section4.3: Solve Mixture Applications With Systems Of Equations

Problem 159E: The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The...

See similar textbooks

Related questions

Q: Find the centroid when revolved in y-axis: y³ = x² ; y = 4.

A: As per the question we are given a solid of revolution obtained by rotating the area between y3 = x2…

Q: Use the method of undetermined coefficients to solve the following problem. y - 4y = e¹t sin 5t, =…

Q: 31. Ke [<cos (1₂) c² - 3+₁ ²+/=/=) +‡ -1 (-1,19,-27, t = 11. Ŕ(t) (1) show that I is continuous at t…

A: This is a problem of vector calculus.

Q: Show that (x + 1)² sin y lim (x,y)→(−1,0) (x+1)4 + y² does not exist.

Q: be an open subset in C and f

Q: Example 1 For the IVP y'+2y=2-e y(0)=1 Use Euler's Method with a step size of h0.1 to find…

A: As per the question we are given the following first order differential equation : y' + 2y = 2 -…

Q: 3 Incorrect Select the correct answer. Consider the function f(x) = 2x and the function g(x). g(s) =…

Q: III. Let S be the quadric with equation 4x² − (y - 3)² + 4z² = 4. a. What type of quadric is S? Find…

Q: Consider S as a quadric with equation 4x² − (y − 3)² + 4z² = 4 1. Classify what type of quadric is…

A: As per the guidlines of bartleby you are not mentioning which question I have to solve so I solve 1…

Q: In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A: Let’s denote population of bacteria at any time t by x(t) . let x’(t)= k x(t). Where k is constant.…

Q: Identify the length of the curve 1X = ²+2y — In(y + 1), for 0 ≤ y ≤ 2. - 8

Q: ds π Find a particular solution of = 10csc² 2t determined by s= 2 when t = dt 3

A: I have to find a particular solution to the differential equation ds/dt…

Q: EV and V' be vector spaces over a field I xists a unique linear transformation, t: V at

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

Q: ) Find the general solution of the DE y = (2+y')x+ (y')².

Q: Consider the solid Q N x² + 2z = 42 S X x² + y² = 4 If S: x² + 2z = 4, when calculating 6xz 22 dS A)…

Q: 5. Use Cartesian coordinates to evaluate If y² dv where D is the tetrahedron in the first octant…

Q: Problem 3. Integrate the equation below using Four-Point Gauss Quadrature between limits X = 0 to x…

A: The solution is given below

Q: te Fourier transfor 33 43

Q: A projectile is fired vertically upward with an initial velocity of 210 m/sec from a point 2 m above…

Q: please would you explain more clearly X/Y. I do not understand why it would not be 1.[cos (-67.38)…

Q: S. ² √(√₁² - ²√₁²) ³ dt

A: We have to solve given problems:

Q: QUESTION 3 A manager wishes to simulate 10 days of operation of an inventory system. The beginning…

A: Solution :-

Q: (a) Solve the first order linear ordinary differential equation dy x sin x- + (sin x + x cos x) y =…

A: The solution is given as

Q: an = 6an-1-11an-2 + 6an-3 with the initial conditions ao = 2, a₁ = 5 and a₂ = 15. The solution to…

Q: Graph f(x) = 4 - ³/4 x

A: The graph of a function f(x) is the ordered collection of points (x,y) in the cartesian coordinate…

Q: X Question 3 of 11 > Find the minimum and maximum values of the function f(x, y, z) = 5x + 2y + 2z…

Q: y': 4y-3x 2x-y

A: To solve the below differential equation. y'=4y-3x2x-y

Q: 2) Find the general solution of the DE y = (2+y')x+ (y)².

Q: Find an orthogonal basis for the column space of the matrix to the right. An orthogonal basis for…

A: Using Gram-Smidth orthogonalization process

Q: 3. of the solid enclosed by the hyperboloid z = Set-up the iterated double integral in polar…

Q: 4. Consider bit strings with lenght 1 and weight k (so strings of 1 0's and 1's, including k 1's).…

Q: Suppose that two nondimensional quantities are exactly A chapter, express the four quantities (A+B),…

A: Given, A=8.73 3 siginficant figuresB=1.389 4 siginficant figures

Q: Directions: Identify the percentile rank of the following grades from the data elow. Grade of 93 1.…

Q: Given x = y²+2y -In(y + 1), find the arc length for 0 ≤ y ≤ 2. B

Q: By Cauchy's integral formula, Taylor's Theorem, or any method under complex analysis (specify…

Q: Consider the following sets: A = {1,3,5,7,9, B, D, F), B = {0,3,6,9, C, F) and C= (0, 2, 4, 6, 8, A,…

Q: X Question 9 of 11 > Find absolute maximum and minimum values for f (x, y) = x² + 10xy + y², defined…

Q: b. Change the polar coordinate complex number 8 (cos 235° + i sin 235°) into rectangular form. Then…

A: Given: Polar form of a complex number is 8cos 235°+isin 235°. To find: Convert the given complex…

Q: Given: quadric surface S with equation (y - 3)² 1 2 2 (a) Determine and identify the traces of S on…

A: We will find traces on co ordinate planes and also at given plane . From traces we can get idea of…

Q: +6. The inflection 1 place).

Q: Derive the Laplace transform of the first derivative of the following. (a) L{1} (b) L{eat} (c) L{sin…

Q: Hello, How can I integrate Z2 sqrt (9+Z2). This is not a graded assignment please.

Q: 1. Determine the absolute extrema of f(x) = (cos x − 1) sinx on [0, π], if they exist, and identify…

A: As per our policy, we are allowed to attempt only first question. Kindly post remaining question…

Q: Determine the solutions of the following first-order ODEs: Tip:y'=xv'+v y=xv *…

A: When a function fx,y can be expressed in the form of ϕyx or ϕxy, the function is referred to as…

Q: Area of the Region and Volume of the Solid of Revolution Given: The region is bounded by the curves…

A: Volume of the solid formed by revolving the region between curves y=f(x) and y=g(x) from x=a to x=b…

Q: Determine the equivalent effective rate of a money compounded continuously at r=5%.

Q: x² Given: quadric surface S with equation (y - 3)² - 2 (a) Determine and identify the traces of S on…

Q: Given the function y(t) with y(0) = 1, then False True L (y² + ²) = SY(s) - 1 + y(s)

Q: Considering C is a curve which has the following parametric equations: x(t) 1 = t³ − t+1, C = tER…

A: Given curve is C=xt=13t3-t+1,yt=t-tan-1t,t∈ℝ

Question

Mondo furniture manufacturer, determines that in order to sell x tables, the price per table in rands must be p= 350 - 0.025x. It determines that the total cost of producing x tables is given by C(x) = 2700 + 126x + 0.01x² . Find the price per table that produces the maximum profit is R

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The manufacturer of a weight training bench spends $120 to build each bench and sells them for $170. The manufacturer also has fixed costs each month of $150,000. (a) Find the cost function C when x benches are manufactured. (b) Find the revenue function R when x benches are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the break-even point means.
The manufacturer of a water bottle spends $5 to build each bottle and sells them for $10. The manufacturer also has fixed costs each month of $6500. (a) Find the cost function C when x bottles are manufactured. (b) Find the revenue function R when x bottles are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the break-even point means.
The manufacturer of an energy drink spends $1.20 to make each drink and sells them for $2. The manufacturer also has fixed costs each month of $8,000. (a) Find the cost function C when x energy drinks aremanufactured. (b) Find the revenue function R when x drinks are sold. (c) Show the break-even point by graphing both the Revenue and Cost functions on the same grid. (d) Find the break-even point. Interpret what the breakeven point means.
Solve the following application problem. A rectangular field is to be enclosed by fencing. In addition to the enclosing fence, another fence is to divide the field into two parts, running parallel to two sides. If 1,200 feet of fencing is available, find the maximum area that can be enclosed.
How does the graph of the absolute value function compare to the graph of the quadratic function, y=x2 , in terms of increasing and decreasing intervals?