TUP ERIDN-L1/291Production Cost- A manufacturer of light fixtures has daily production costs of C=800-8x+.25x where C is thetotal cost (in dollars) and x is the number of units produced. How many units should be producedeach day to yield a minimum cost?Before Graphing:a. Concavity: Up or Down?b. Vertex? Calculate using vertex formula, show work.c. Use Desmos or a TI-8X to graph the function. Include a sketch below (for x > 0), labeling youraxes and important features like the vertex, the x-intercept(s) and the y-intercept.omodi bas (e)iqaostei-xbrd. How many units should be produced each day to yield a minimum cost?e. What is the least the manufacturer can get away with spending in total production costs in oneday?f. Ask a question for which the y-intercept would provide the answer.igind mumia

Production Cost 2. A manufacturer of light fixtures has daily production costs of C=800-8x+.25x w total cost (in dollars) and x is the number of units produced. How many units should each day to yield a minimum cost?

Production Cost 2. A manufacturer of light fixtures has daily production costs of C=800-8x+.25x w total cost (in dollars) and x is the number of units produced. How many units should each day to yield a minimum cost?

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 4.59TI: The manufacturer of a weight training bench spends $15 to build each bench and sells them for $32....

See similar textbooks

Related questions

Q: Give the VALUE only. No need to include the unit. Let s, =15r +10r +20 and s, = 5r + 40r , t 2 0, be…

A: Given positions functions are SA = 15t2 + 10t + 20SB = 5t2 + 40t

Q: Problem 2. Forward elimination changes Ar =b to a row reduced Rx=d. Suppose that the complete…

Q: Yz 3-4i, what is in standard form a + ib? 3. 3 (a) 4. (b) 3+ 4i (d) -- (c) -3+ 4i (0) 25

Q: 3. Find the general solution of the system of differential equations d. 8 -5 = x* cos(7t) – 7…

Q: A man borrowed 24000 from two money lenders. For one loan he paid 15% annum and for the other 18%…

A: Let x be the amound borrowed on 15% and (24000-x) at 18% Given taht total interest paid is Rs 4050

Q: Solve for the laplace transform x(t)= (cosh4t sin4t)/ (te6t)

A: The given function is x(t)=cosh 4t sin 4tt e6t=cosh 4t sin 4tte-6t

Q: Let s, =15r +10t + 20 and s, = 5t² + 40r , t20, be the position functions of cars A and B that are…

A: Given that, sA = 15t2 + 10t +20 sB = 5t2 + 40t Velocity is given by, v = ds/dt Hence, Velocity…

Q: Find the values of a and b for the curve r'y+ay =b if the point (1,1) is on its graph and the…

A: Let us consider the given curve y=f(x) The slope of the tangent to the given curve at point (a, b)…

Q: Sapling Independent is a small bank located in Hong Kong. Sapling Independent is interested in…

A: The term per cent means for every hundred. A fraction whose denominator is 100 is called a…

Q: 6) If d +1 is the smallest positive divisor of an integer n, then d is prime. a) True b) False O a)…

Q: Determine whether the following series converges. Justify your answer. 00 Σ k=1 5k e V5k (Type an…

A: The given series is , ∑k=1∞15k e5k (.) Integral Test : If for x ≥ 1 , f(x) is…

Q: 3.) Show that the on( giln by norm (an hot be given bu a scalor produd

Q: If u = x3 + y3 where x = a cos t, y = b sin t, then du dt

A: Solution

Q: 2. Consider S3 = the set of all permutations on the set [3]. You can find these 6 permutations in…

A: Since you have posted a question with multiple sub-parts , we will solve first three sub-parts for…

Q: Using implicit differentiation, find the slope of the tangent line at the point (9,16) on the curve…

A: Given curve, x+y=7 and point (9,16)

Q: Evaluate the triple integral | zdV, where E is bounded by the cylinder y? + z? = 16 and the planes E…

Q: Prove or disprove: For n > 2, 2 is a generator of Zn if and only if n is odd

Q: 11 2 Find det(A) 022 (14) Let A= 00 00-1 (a) 0 (b) 6 (c) -6 (d) -2 (e) 2 (15) Let u= Then the angle…

Q: A mutual fund has total assets of $11 million and total liabilities of $5 million. There are 2…

Q: 4. (t2 +1)y - 4t (y + VT) = 0. (Try by two methods!)

A: We will solve this problem using separation of variables technique.

Q: 1. Show that every scalar product on R² is in the form: = ar + b(r12 +.r2) + cr22. (0.1) where a.b.c…

A: The main objective is to prove that the scalar product is strictly positive definite.

Q: Leslie matrix is given below with the usual age groups, 0 year old (0-1), 1 year olds (1-2), etc.…

Q: b such that the surf 4x2y + z3 = 4 cut -1 ?). %3D

Q: (3) Suppose that A and B are 4 x 4 matrices and that det(A) det(B) = Then %3D det(-A'BA"…

Q: Give example open set is compact

A: An example of open compact set is attached in step 2.

Q: 4. Use Laplace Transforms to solve the following initial value problem (IVP): 1, 0<t< —1, л<t < 2л…

Q: 4) Let x be the twor diminsional spore cquipped with the scolor product. ke subspace Yis gitn by the…

Q: Consider the solidas bound below by 3: N3C82+y?), above by ?-1= N @ Its volume V (s); O The height…

A: Here we will use cylindrical co ordinate x= r cosθ , y = r sinθ , z=z and dV= r dz dr dθwhere…

Q: Solve the following ODES. 4. (t2 +1)y- 4t(y+ V) = 0. (Try by two methods!) 5. y' = 2+ Vy – 2x + 3.…

Q: Given: sets R and S are transitive. True/False: RNSis transitive O True O False

Q: 8. (e* sen y + 3y) dx – (3x – e* sen y) dy = 0 %3D

A: Exact differential equation

Q: In solving the antiderivative of f(x)= sin(x) + 3cos(x) +3 by miscellaneous substitution, the…

Q: Define: what is an equivalence relation?

Q: Determine whether the following series converges. Justify your answer. (- 15)* 00 Σ k! k= 1 Select…

Q: 11. (x In y + xy) dx + (y In x + xy) dy = 0;

Q: ii, 20 coins are flipped each with a probability of 0.5 that it will be heads. What is the standard…

Q: Problem 5 Solve Cauchy Euler equation ry" + zy-y =r'e

Q: Consider the function f(x) = 3 e-X. Answer the questions below. (a) Find the third order Taylor…

Q: Let f be a nonnegative bounded measurable function on a set of finite measure E. Assume f = 0. Show…

Q: Convert the given polar equation into a Cartesian equation. r 2sin 0+ 8cos 0 Select the correct…

A: Solution: Ans:Option(D) ->Step-by-step-Explanation: Here given r = 2 sinθ + 8…

Q: 1. Solve the linear equations given in either augmented or explicit form. а.) 4у + 3z 3D 8 2x – z =…

Q: Consider the discrete time dynamical system X1+1 = The graph of the updating function is given…

A: From the given dynamical system, the fixed points are given by intersecting points of two lines y=x…

Q: Use the given graph to estimate the left Riemann sum for the given interval with the stated number…

Q: 7. D is bounded by the surface (r2 + y² + z²)² = a²(x² + y² – 22). %3D

A: We have to find volume where D is bounded by the surface (x² + y² + z²)² = a²(x² + y² — z²).

Q: In solving the antiderivative of f(x) =- 2- sin(x) by miscellaneous substitution, the substitution…

Q: Determine the slope of the tangent to the curve y -3xy +2.x = 4 at the point (3,2).

A: Let us consider the curve y=f(x) To determine the solve of the tangent to the given curve at point…

Q: The shaded region R is bounded by the lines y = 0, x = 5, and the curve y = Vx – 1 as shown in…

Q: Solve the equation Ax = b by using the LU factorization given for A. 4 - 4 4 1 0 0 4 - 4 4 - 4 A = -…

A: We want to find value of x and y

Q: Question 1 Which of the following are subspaces of R ? Choose all correct answers. {(x, y, z) E R³ |…

Q: Find the absolute extrema of the function 2/3 f(x)=(x+1)** in [-2.1], if there is a -2

A: Given function is f(x) = (x+1)23 in [-2, 1]

Question

TUP ERIDN-L1/291
Production Cost
- A manufacturer of light fixtures has daily production costs of C=800-8x+.25x where C is the
total cost (in dollars) and x is the number of units produced. How many units should be produced
each day to yield a minimum cost?
Before Graphing:
a. Concavity: Up or Down?
b. Vertex? Calculate using vertex formula, show work.
c. Use Desmos or a TI-8X to graph the function. Include a sketch below (for x > 0), labeling your
axes and important features like the vertex, the x-intercept(s) and the y-intercept.
om
odi bas (e)iqaostei-x
br
d. How many units should be produced each day to yield a minimum cost?
e. What is the least the manufacturer can get away with spending in total production costs in one
day?
f. Ask a question for which the y-intercept would provide the answer.
igind mumia

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The manufacturer of a weight training bench spends $15 to build each bench and sells them for $32. The manufacturer also has fixed costs each month of $25,500. (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.
A company that makes and sells baseball caps has found that the total monthly cost C in dollars of producing x caps is given by the function C(x)=0.2x280x+9000. Find the production level that will minimize the monthly cost and find the minimum cost.
For the parabola y=2x24x3 find: (a) the axis of symmetry and (b) the vertex.
At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at least 4.80 from the sale of each pizza. If the pizza will be sold by the slice and each pizza is cut into 6 pieces, what is the minimum charge per slice?
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.