A company orders and uses 40,000 table cloths each year. Each order has a fixed shipping cost of $200 and an additional cost of $1 per tablecloth. To store a tablecloth for a full year costs $1. What is the optimal number of tablecloths the company should buy during each order?

Q: 8. u(0,1)= 0, u(1, 1) = 0, t>0 u(x, 0) = 4 sin 3x + 8 sin 6mx, 0<x<1

A:

Q: A function y = f(x) is represented parametrically as follows: x = o(t) = t-5t³ - 20t+7 y = y(t) =…

A:

Q: Express the function 0 { f(t) = = in terms of unit step functions and hence determine F(s), the…

A:

Q: A produce buyer for a juice company is buying pears. He makes a choice of either Wisconsin,…

A:

Q: Which is/are the correct counterexample to disprove the statement that all perfect squares are even?…

A: We have to choose the correct counter examples to disprove the statement that all perfect squares…

Q: 1) a) Solve the following inequalities: (i) 5(11-q) <q +49 10m + 2 (ii) 7m 3 (iii) x² ≥ 15 - 2x - 3…

A:

Q: . Consider the function y₁ = x and y2 = 2³ which are solutions of an ODE on I = (0, ∞). Then • Their…

A:

Q: The vertices of an ellipse are located at (3,-2) and (3,6). If the distance between the foci of this…

A: Let us consider the ellipse (x-h)2b2+y-k2a2=1 The length of foci is 2c where c2=a2-b2. The vertices…

Q: After graduating with a master's degree, Kamala combined all of her student loans into a single loan…

A:

Q: A car, 15 kilometers directly east of a bus, moves west at 80km/hr. At the same moment, the bus…

A: Given distance AC=15 km Let at time t their distance is minimum  Therefore at time t distance travel…

Q: sin²x, - TO T X<2 Find the intervals in Let f(x)=sin³x+λ 2 which should lies in order that f(x) has…

A:

Q: Consider the following vectors: 1 ----- W2 = -2 V= = -2 Enter the vector projwv in the form [C₁, C₂,…

A:

Q: (1) Give an example of perfect groups (i.e. the group equals to its own com- mutator subgroup). (2)…

A:

Q: One of the striking properties of Fibonacci numbers is that gcd(Fm, Fn) = Fd, (*) where d = gcd (m,…

A: 1. We see,        F9 = 34    [Fibonacci series : 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,. . . . . ]…

Q: Find a parametric description r(t) for the full circle going through the point (0, 9). Provide your…

A:

Q: 9x² + y² - 54x - 6y +81=0 (4.) 9x² + 4y² + 324. +3826

A: We have to standardize the equation to find center vertex and orientation of ellipse . Then draw…

Q: Compute the total cost per year of the following pair of expenses. Then complete the sentence: On an…

A:

Q: 2F. n 1 ;;1=2" (b), (26)

A:

Q: create any mathematical problem and show its solution.

A: A mathematical problem is a problem that can be represented, analyzed, and possibly solved, with the…

Q: Can the following scenario occur? Explain. There are 95 students who play at least one of football,…

A: Let the set of student who plays football is denoted by A, who plays basket ball is denoted by B and…

Q: (1) Give an example of perfect groups (i.e. the group equals to its own com- mutator subgroup). (2)…

A:

Q: Q.#16 Please solve each of the following trig equations on the interval [0, 27). a) sin 28 = sin 8…

A:

Q: Outside of the United States, the common paper size is called A4 and measures 21 by 29.7…

A: The domain of a function is defined as the values of the argument of the function for which the…

Q: Probability: Intersection of Independent Events Determine the following probabilities. Enter your…

A:

Q: 16. CAD drafter A generates 24 architectural symbols in 12 hours. CAD operator B generates 24…

A:

Q: Let A ⊆ ℝ (ℝ represents the real numbers) and A non-empty. Prove TWO of the following: glbA ≤ lubA…

A:

Q: Question: A chemist has three different acid solutions. The first acid solution contains 15% acid,…

A:

Q: n=1 (4)n-1 gn

A:

Q: By using the Bisection method to find the root (only one root) of the function: f(x) = 8x3 – 18x2 +…

A:

Q: Convert the point (x, y, z) = ( − 4, — 4, − 2) to cylindrical coordinates. Give answers as positive…

A:

Q: 5. Consider the set of vectors B= 8 # and the vector y=-9 a. Show that S is a basis of R³. b. Find…

A:

Q: n theo

A: Here, in the question Given: G be a connected graph of order p≥4. We have to prove that yt(G) = 2p-q…

Q: log_b x=4 log_b y=2 solve log_b(x^4y^5) log_b(x^b/y^4)

A:

Q: Consider the series ∞ Σ(cos 0.9)* k=1 Determine whether the series converges, and if it converges,…

A: The given problem is to check whether the series is converges or diverges and also to find the value…

Q: For any integer n, n² + 5 is not divisible by 4.

A:

Q: Suppose c is any integer. If c mod 15 = 3, what is 10c mod 15? In other words, if division of c by…

A:

Q: 2) B=(4,-√6,-10, 0, 7 Integers A) 4,0 2, 2, 1.7, √ 4 B) 4,-10,

A:

Q: - Using the € – d definition of continuity, show that the func- tion ƒ : R³ → R² defined as f(x, y,…

A: Given a function f:ℝ3→ℝ2 defined by, fx, y, z=xyi^+z3j^ We are asked to show that the given function…

Q: Write the form of a particular solution to y(3) - 3y" - y = 2e without determining the coefficients…

A:

Q: Iff

A:

Q: Given the factor of the polynomial, completely factor the polynomial. f(x)=x³-2²-14x + 24; x-3…

A: Here given the factor of the polynomial, we have to factor the polynomial completely. The polynomial…

Q: 1. Let A be an abelian group, and let G = A × A (Cartesian product), which also is a group. Let 6:…

A:

Q: Let y(t) satisfy the following 2nd order ordinary differential equation: y" — 6y' — 5y = −3, with…

A: We know that  LFnt=snLFt-sn-1F0-sn-2F'0-...-Fn-10 Given…

Q: 20. In three weeks, six workers can assemble 32 products. Working at the same rate, how many workers…

A:

Q: The cost structure for iPhones are as follows, fixed cost of $25 and variable cost per unit of $2.…

A:

Q: Q2 Use the method of undetermiend coefficients to find the general solution of y(3) - 3y" - y =…

A:

Q: As an intern for an office you are tasked with gathering lunch orders and bringing back the receipt…

A:

Q: Transform: F(s) = 6 (s²-4s+20)² 3 f(t) = ³ te cos 4t - e -2t 3 64 16 ○ 3 f(t) = ³4 64 e 2t cos 4t -…

A:

Q: Consider the following vectors: --8-8-8 H W1 = -3 W2 = -1 4 Enter the vector n in the form [C₁, C₂,…

A:

Q: Refer to the study by Carter et al. [A-9], who investigated the effect of age at onset of bipolar…

A: Solution: We have to find or investigate the effect of age at the onset of bipolar disorder on the…