A company is planning to manufacture mountain bikes. The fixed monthly cost will be $100,000 and it will cost $100 to produce each bicycle. Complete parts (a)-(c). (a) Find the linear cost function. (b) Find the average cost function. (c) Find the horizontal asymptote of the graph of the average cost function. Explain what the asymptote means in this situation.

Q: . What is the projection of v=e₁ +2e2 − 3e3 on H : x₁ + 2x2 + 4x4 = 0? . Let V be a subspace of Rn.…

A:

Q: Find the remainder and the fractional part when 5" is divided 599 13 by 13. Also, prove that the…

A:

Q: 6. Let {Xk, k≥ 1} be iid random variables with common continuous distribu- tion F. Let л be a…

A:

Q: Given that the 4th term in the expansion of 2+x has the 3 8 maximum numerical value. Find the range…

A:

Q: For which value of a the system of ODES y₁ = ayı + y2 +y₁(e2-1), Select one: O a. -2 2 y2 = -y₁ +…

A:

Q: Find the sum of the convergent series. Σ n = 1 20 n(n + 2)

A:

Q: Find the open intervals on which the function is concave upward or concave downward, and find the…

A:

Q: Let y'= 2xy²; y = a. (-4,4),(-∞, -4] b. (-4,4) c. (-4,00),(-4,4),[4, ∞) d. (-4,00),(4,∞), e. (-∞,…

A: Given,  y'=2xy2 and y=24/(x2-16)

Q: I've made a start on our projected expenses now that we're coming to the end of this project. 3650…

A: Total budgeted expenses are the sum of individual expenses.

Q: Decide whether the following describes a simple random sample. A telephone company wants to…

A: Here all the customers constitutes the population of customers.  By the computer, the sample is…

Q: The electric field in the xy-plane due to a point charge at (0,0) is a gradient field with the…

A:

Q: J₁₂ (² (z - y) do where S is the portion of the cone z = Evaluate between the planes z = 1 and 2 =…

A:

Q: Use induction to show that A₁ U A₂ U U An|A₁|+|A₂|++|An, where A denotes the number of elements in…

A:

Q: chapp prove AX (BNC) = (A ne) x (Anc) nur ANG ISA-B

A: Let, A = {1}        B = {2, 3}        C = {3, 4}     Then, B ∩ C = {3}    Then, A × (B ∩ C) = {1} ×…

Q: 6 3. Consider the boundary value problem: J²u ²u əx² Əy² u(x,0) = 0, + = 0, u(x, 2) = 0, u(0, y) =…

A:

Q: The rule of the derivative of a function f is given below (but not the rule of f itself). Find the…

A:

Q: Show

A:

Q: . Prove that the tangent plane to the surface xyz = a³ and the coordinate planes bound a tetrahedron…

A:

Q: Homogeneous system  please type instead of handwriting thank you.  please Answer parts d, e, and…

A:

Q: Which of the following statements is/are tr all that apply. It is the derivative of y with respect…

A:

Q: Select all that are true. a) For any bipartite graph G = (LUR, E), if |L| = |R| then ElEL deg(l) =…

A: Given: The statements regarding the bipartite graph.We need to check which of the given statements…

Q: (16) Prove that 22n – 1 is divisible by 3 for all n € N.

A:

Q: The scrap value of a machine at the end of its useful life is given by S(n) = C(1-r)", where C is…

A: The given relation of scrap value is, S(n)=C1-rn,  To find: Scrap value if the original cost is…

Q: Suppose the supply and demand for a certain textbook are given by supply: p=- 19². quantity and the…

A:

Q: Assume that the following has a linear cost function for producing x items. Find the cost function,…

A:

Q: Let f: A → B be a function, and let C be any set such that BCC. True or False: f : A → C is always a…

A:

Q: | |-[x+2²4 = [₁ +¹] X x + 2y + 3z +1 2y - 3x + z = Z Consider the transformation Ty (a) Determine if…

A:

Q: 6. Prove that AB AOB.

A:

Q: Problem 8( - s). Let a transformation T be defined by (1)-(+) T (1) What are the domain and the…

A:

Q: A mass weighing 4 pounds is attached to a spring whose spring constant is 9 lb/ft. What is the…

A:

Q: ← In this figure, lines BG and CF are parallel. вк >4 M H E > F 什 If lines BG and CF are parallel,…

A:

Q: 1. Evaluate the surface integral [[ 3. SS S where S is the portion of the plane x + 2y + z = 2 lying…

A:

Q: Let S be a set, P(S) is the powerset of S, and let T be the set of all functions from S to {0,1}.…

A: Let S consists of n elements.  Then, P(S) denotes the power set of S which is the collection of all…

Q: t 1 (17) = { { + ¹ t 0 1 1 F(s)= = =+ = /201 5² = 1+t-e¹-2(t-e¹-¹)μ(t-1) = 1+t-e¹-2(t-et-¹)μ(t-1)…

A:

Q: 8. Consider the series (-3)" n=1 n and for the series obtained by integrating this series term by…

A: The given problem is to find the interval of the convergence for the given series and the series…

Q: Determine the following using the graph off provided below. If the value is infinite, specify ∞o or…

A: Given Data: Let us consider the given data, x=-7, x=-4 and y=0 about the y-axis. To Find: The volume…

Q: Apply the Gram-Schmidt orthonormalization process to transform the given basis for Rn into an…

A: We use Gram-Schmidt orthonormalization process to find orthonormal basis.

Q: (¹) P₁ ! If y is such that ry=rds, then snow that : - (+ + 1 = =p+ k₁ d²p dy² (ii) ₁ === P d²p dy² =…

A:

Q: C₁: closed circle, x² + y² = 9 C₂: closed circle, (x - 2)² + y² = 1 C3: closed circle, x² + y² = 4…

A: Bartleby Guideline: According to Bartleby Guideline, I can solve the first three subparts of a…

Q: Draw a simple graph that has a Euler circuit, but no Hamilton circuit.

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

Q: Find the local maximum and minimum values and saddle points of the function. Hint: D-Test 2 f(x, y)…

A:

Q: 23. 49054081 45082836 If A³ =[ p(2)=2²-92-14 = 0. 90165672 82866208 ] and the characteristic…

A:

Q: Solve the equation y" +4y= S(t-4π), y(0) = 1/2, y'(0)=0 a. )= = cos(2t) + sin(2(t − 4π)µ(t − 4π)

A:

Q: Consider the statement: If z>y then r2 > zy. Which, if any, of the following substitutions give a…

A:

Q: Kevin is an auto mechanic. He spends 3 hours when he replaces the shocks on a car and 2 hours when…

A: Kevin is an auto mechanic. He spends 3 hours when he replaces the shocks on a car and 2 hours when…

Q: 4. Apply the Laplace transform to solve for the given P:V:I a) yiv − 4y′′′ + 6y′′ − 4y′ + y = 0,…

A:

Q: f(x, y) = 4x²-xy-15x+2y+14 Find the absolute maximum and minimum values over the closed region shown…

A:

Q: An archaeologist found a burial jar when excavating in an ancient village. To determine the age of…

A: The governing differential equation for decay is m'(t) = -k m Where k is decay constant, m is…

Q: Given that T -T 2a a + cos0)² de

A: Given: I=∫-ππ2aa+cosθ2dθ Evaluate the integral.

Q: Two​ bicyclists, Jim and​ Tim, start at the same point. Jim rides west and Tim rides north. At some​…

A: