Questions
Using induction: Show that player 1 can always win a Nim game in which the number...

Using induction: Show that player 1 can always win a Nim game in which the number of heaps with an odd number of coins is odd.

In: Advanced Math

Use the branch and bound method to find the optimal solution to the following integer programming...

Use the branch and bound method to find the optimal solution to the following integer programming problem: maximize 7x1 + 3x2 subject to: 2 x1 + x2 < 9 3 x1 + 2x2 <13 x1, x2 > 0; x1, x2 integer
Instead of using EXCEL Solver to solve this problem directly as an integer programming problem, use EXCEL Solver to solve the LP problems at each branch, with the appropriate constraints added, according to the branch and bound algorithm. Be sure to draw a node and branch diagram to illustrate the procedure, showing the branches that are fathomed, noninteger variables selected, and the optimal solution

In: Advanced Math

P11.7A (LO 4) On April 2, 2021, Pharma Company entered into a contract to supply medication...

P11.7A (LO 4)

On April 2, 2021, Pharma Company entered into a contract to supply medication to Laxall Drug Stores, FOB shipping point, terms 2/30, n/45. The selling price of the medication is $40,000 and the medication cost Pharma Company $25,000. Pharma has a stated return policy that goods may be returned within 30 days. The medication was shipped on April 10, 2021. Pharma's management estimates returns using the expected value method and sales discounts are estimated using the most likely outcome. Based on past experience with this product, returns are 5% of sales 50% of the time, 10% of sales 20% of the time, and 20% of sales 30% of the time. Laxall Drug Stores will most likely pay within the discount period. Pharma Company uses the contract-based approach for revenue recognition.

Instructions

a. Describe the rights and obligations of each party in the contract between Pharma Company and Laxall Drug Stores.

b. Identify the variable consideration in the contract.

c. Calculate the transaction price. (Round all amounts to the nearest dollar.)

d. Prepare journal entries to recognize revenue on the appropriate date. (Hint: The expected value method is also used to determine the amount for cost of goods sold and estimated inventory returns.)

In: Advanced Math

Maximize p = x + 8y subject to x + y ≤ 25 y ≥ 10...

Maximize p = x + 8y subject to

x + y 25
y 10
2x y 0
x ≥ 0, y ≥ 0.

P=? (X,Y)= ? (NOT BY GRAPHING)

In: Advanced Math

WEB ANALYTICS Write a review applying some of the concepts to the fashion industry. Offer an...

WEB ANALYTICS

Write a review applying some of the concepts to the fashion industry. Offer an introduction and a summary, Conduct additional research and offer at least four additional references and citations. Offer references and at least one citation for every reference.

In: Advanced Math

For any Gaussian Integer z ∈ ℤ[i] with z = a+bi , define N(z) =a2 +...

For any Gaussian Integer z ∈ ℤ[i] with z = a+bi , define N(z) =a2 + b2. Using the division algorithm for the Gaussian Integers, we have show that there is at least one pair of Gaussian integers q and r such that w = qz + r with N(r) < N(z).

(a) Assuming z does not divide w, show that there are always two such pairs.

(b) Fine Gaussian integers z and w such that there are four pairs of q and r that satisfy the division algorithm with N(r) < N(z).

In: Advanced Math

Definition 1 (Topological space). Let X be a set. A collection O of subsets of X...

Definition 1 (Topological space). Let X be a set. A collection O of subsets of X is called a topology on the set X if the following properties are satisfied:

(1) emptyset ∈ O and X ∈ O.

(2) For all A,B ∈ O, we have A∩B ∈ O (stability under intersection).

(3) For all index sets I, and for all collections {Ui}i∈I of elements of O (i.e., Ui ∈ O for all i ∈ I), we have U i∈I Ui ∈ O (stability under arbitrary unions). A set X equipped with a topology O is called a topological space and the sets in O are called open sets.

Exercise 1. Let X be a set. (1) Consider O_trivial = {emptyset,X}. Prove that O_trivial is a topology on X. (2) Consider O_discrete = P(X). Is O_discrete is a topology on X? Justify briefly your answer. Hint. You have to verify whether the collections O_trivial and O_discrete satisfy the three properties in Definition 1.

In: Advanced Math

Problem 4 (Sets defined inductively) [30 marks] Consider the set S of strings over the alphabet...

Problem 4 (Sets defined inductively) [30 marks] Consider the set S of strings over the alphabet {a, b} defined inductively as follows: • Base case: the empty word λ and the word a belong to S • Inductive rule: if ω is a string of S then both ω b and ω b a belong to S as well. 1. Prove that if a string ω belongs to S, then ω does not have two or more consecutive a’s. 2. Prove that for any n ≥ 0, if ω is a string of length n over the alphabet {a, b} that does not have two or more consecutive a’s, then ω is a string of S.

In: Advanced Math

Find the break-even point for the revenue and cost. Draw your own graph on a piece...

Find the break-even point for the revenue and cost. Draw your own graph on a piece of paper.

Fixed cost = $22,000
Variables cost = $15 per item
Price = $23

The break-even point is at ________ items.

In: Advanced Math

Use the data in the following table to create a fraction nonconforming (p) chart. The column...

Use the data in the following table to create a fraction nonconforming (p) chart. The column of np represents the number of non-conforming units. Is the process in control? (5 points)

Sample

n

np

p

1

100

7

0.07

2

100

10

0.10

3

100

12

0.12

4

100

4

0.04

5

100

9

0.09

6

100

11

0.11

7

100

10

0.10

8

100

18

0.18

9

100

13

0.13

10

100

21

0.21

Question 2

A bank's manager has videotaped 20 different teller transactions to observe the number of mistakes being made. Ten transactions had no mistakes, five had one mistake and five had two mistakes. Compute proper control limits at the 90% confidence level. Is the process in control? Show your work.

In: Advanced Math

Find the series solution to the following differential equation: y" + xy' - y = x^2...

Find the series solution to the following differential equation:

y" + xy' - y = x^2 - 2x , about x = 1

In: Advanced Math

Let x, y ∈ R. Prove the following: (a) 0 < 1 (b) For all n...

Let x, y ∈ R. Prove the following:

(a) 0 < 1

(b) For all n ∈ N, if 0 < x < y, then x^n < y^n.

(c) |x · y| = |x| · |y|

In: Advanced Math

A mass weighing 32 pounds stretches a spring 16 feet. The mass is initially released from...

A mass weighing 32 pounds stretches a spring 16 feet. The mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. Find the equation of motion if the mass is driven by an external force equal to f(t)=10cos(3t).

In: Advanced Math

use the approximate Half-Life formula for the case described below.discuss whether the formula is valid for...

use the approximate Half-Life formula for the case described below.discuss whether the formula is valid for the case described. poaching is causing a population of elephants to decline by 8% per year. (1) what is the half-life for the population? (2) there are 10,000 elephants today how many will remain in 40 years? (3) does the approximate Half-Life formula give a valid a proxima station in the case described. yes or no?

In: Advanced Math

Find the first 6 nonzero terms of the Taylor series solution to y''=x+y^(3)-(y')^2 y(0)=2 y'(0)=-2

Find the first 6 nonzero terms of the Taylor series solution to

y''=x+y^(3)-(y')^2 y(0)=2 y'(0)=-2

In: Advanced Math