Write a MIP/Binary Program optimization model. See below for question. A dedicat

Question

Write a MIP/Binary Program optimization model. See below for question.

A dedicated storage system is to be used in a facility you have been tasked to design. Management would like to position the goods in the dedicated storage area so that the costs of material handling are minimized. h has already been determined that accessibility is a high priority so single deep racks will be used. Management has studied similar facilities and provided the following data regarding the products being offered. To racks facing each other are co be used sized at 3 slots x 3 slots with a 10' aisle in between (see figure below). In addition, product 3 must be stored in the first row of slots. (10 pts) a. (6) Write the MIP/Binary Program optimization model (objective function, constraints, and decisions variables) b. (2) Using a type of solver (Excel, Lindo, etc.), solve the optimization model and determine where the products should be stored to minimize cost/travel (use the objective function from the course slides c. (2) Assume the storage area holds pallets that are 42 x 42 x 5 and the pallets can hold loads that are, at max, 48 high. All gaps are 2? wide and all beams are 4 side. In the case of back to back racks, an 8 flue is required. Calculate the cube utilization of this system (clearly state any other assumptions made to calculate the cube utilization).

Explanation / Answer

import java.util.Scanner;

public class DecimalToBinary {

public String toBinary(int n) {
if (n == 0) {
return "0";
}
String binary = "";
while (n > 0) {
int rem = n % 2;
binary = rem + binary;
n = n / 2;
}
return binary;
}

public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
System.out.print("Enter a number: ");
int decimal = scanner.nextInt();
DecimalToBinary decimalToBinary = new DecimalToBinary();
String binary = decimalToBinary.toBinary(decimal);
System.out.println("The binary representation is " + binary);

}
}

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