Let S represent the amount of steel produced (in tons). Steel production is related to the amount of labor used (L) and the amount of capital used (C) by the following function: S = 35L0.40 0.60 In this formula L represents the units of labor Input and C the units of capital input. Each unit of labor costs $150, and each unit of capital costs $200. a. Formulate an optimization problem that will determine how much labor and capital are needed in order to produce 60,000 tons of steel at minimum cost. If the constant is "1" it must be entered in the box; if your answer is zero, enter "0". Min s.t. L C L, C b. Solve the optimization problem you formulated in part (a). Hint: Use the Multistart option as described in Appendix 8.1. Add lower and upper bound constraints of 0 and 5000 for both L and C before solving. Round your answers for L and C to three decimal places. Round your answer for optimal solution to one decimal place. L= and C= for an optimal solution of $. Please do fast ASAP fast

Q: Using C program Problem: Calculate the tax due or the refund for a family based on the following…

A: The inputs will be the income and number of dependents and the output will be calculated tax

Q: IN MATLAB write a function named 'growrate.m' that takes three inputs: 1) initial population size…

A: Here below we make simple i=user defined function to fulfill the given requirement:…

Q: Write a C function that, given a square matrix of floats, finds the diagonal with maximum average…

A: Solution:-- Given question is:--   To write a code in C language that will calculate the average…

Q: 1. Write a function called hwd_problem1 that takes two inputs: a vector v and a positive integer…

A: Below i have given program in c:

Q: Determine the derivatives of the following functions (f) respect to x and function (f) with respect…

A: Since no programing language is mentioned, I am using Matlab. As per the given question, we need to…

Q: Refer to the following hypothetical situation to come up with a linear programming solution…

A: The first part will be hand written and the plot will be drawn in Excel only For 2nd part we have…

Q: Suppose that you want to solve the following quadratic formula in Julia: x = −b ± √(b2 − 4ac) /…

A: Input the coefficients:Read the values of coefficients a, b, and c from the user or another…

Q: Write a C function that, given a square matrix of floats, finds the diagonal with maximum average…

A: #include<iostream>using namespace std;#define DIM 200float matrixMaxDiag(float M[DIM][DIM],int…

Q: QUESTION The shelf life of the following vegetables and fruits can be extended using the packing…

A: clear all close all %function for amount of bacteria for given G f=@(t,G) 1000.*10.^(t./(3.3.*G));…

Q: PCs using SVDS. You are given a python function: U,s, Vtr = svd (Z, full.matrices = False) which…

A: Task : Given the data X. The task is to perform the PCA analysis on the data.

Q: How Draw the following functions according to the given Period.

A: As per the question statement, We need to plot the functions for the given period. We will use…

Q: (20 points) Consider the following function: 100(1 – 0.01x²)² + 0.02.a² (1 – x²)² + 0.1x² y(x) =…

A: % Script Description:Subplots with different plot schemes% Name :% Date…

Q: Consider the following function: for x = [0, 2]. (x) = sin (4(x - 1)) 1. Plot the function. 2. Use…

A: Import the necessary libraries: numpy, matplotlib, and scipy.optimize Define the function f(x) =…

Q: Given two vectors of integers (either positive, negative or zeros) V1 and v2 of length di and d2…

A: #include<stdio.h>#include<stdlib.h>void prodCartFilt(int *v1,int d1,int *v2,int d2){…

Q: Python solves. For a building project, a civil engineer needs 4800, 5810, and 5690 m3 of sand, fine…

A: Linear algebraic equations are mathematical equations that describe a system of linear relationships…

Q: 10 .1 20 The company wishes to determine the economic order quantity for each of the four items such…

A:

Q: To find the total marks of a student in an assignment, we need to get the proposal marks, Task 2,…

A: Here I am providing the code and the output for the given problem

Q: Let us suppose that there are n jobs (J1, J2, … Jn) each of which takes a unit of time to be…

A: Given data: Let us suppose that there are n jobs (J1, J2, … Jn) each of which takes a unit of time…

Q: Problem Statement The area under a curve can be estimated by breaking the x axis into increments,…

A: Following is the Matlab code to find the area of the above function: clc; close all; %Taking all…

Q: Refer to the following hypothetical situation to come up with a linear programming solution…

A:

Q: Mubashir needs your help to find out the next lucky year. A lucky year is a year with only distinct…

A: 1. Created the New Method with 1 number argument 2.  Added 1 in passed argument 3. created the new…

Q: 6. Simplify the following functions where D is a don't care function: (a) F(X,Y.Z) = E(0,3.4)…

A:

Q: 1. The utility functions for auto and transit are as follows: Auto: U = -0.46- 0.35T, -0.08T, -…

A: Answer : Ans- for the calculation let's use Binary logit model . Now for Auto the following data are…

Q: Find the minimum of f(x, y) = (y+3)² + (x − 2)² + (x y − 3)² Plot the function and display your…

A: Algorithm: Define the function f(x,y) to be minimized. Create a grid of x and y values using…

Q: 6. Simplify the following functions where D is a don't care function: (a) F(X,Y,Z) = [(0,3,4)…

A:

Q: Problem#5 SELF 6.8 Toby's Trucking Company determined that the Test distance traveled per truck per…

A: The pnorm() function calculates the cumulative probability of a standard normal distribution, given…

Q: To help you better understand why the definition of Big-O is concerned only with the behavior of…

A: SOLUTION-In this code, we have to use Big-OIn the question, given two functions f(n) = 500n2 + 15n +…

Q: (a) F(X,Y,Z) = ∑(0,3,4)D(X,Y,Z) =∑(2,6) (b) F(W,X,Y,Z)=∑(0,1,3,5,9,11)D(W,X,Y,Z) =∑(2,4,8,10)

A: (a) F(X,Y,Z) = ∑(0,3,4)D(X,Y,Z) =∑(2,6)(b) F(W,X,Y,Z)=∑(0,1,3,5,9,11)D(W,X,Y,Z) =∑(2,4,8,10) using…

Q: 田 Consider the differential equation; d³y биз + 3-12-y=0 dy Ju Initial condition: y" (0) = -1, = -1,…

A: In this question we have to understand about given differential equation and solve it using Eucler's…

Q: 51. Let L, W, and P denote the length, width, and perimeter of a rectangle, respectively, and…

A: Multiple questions are asked at once so first question with 3 parts will be answered. Please upload…

Q: company produces two products on two machines. A unit of product 1 requires 2 hours on machine 1 and…

A:

Q: A researcher claims that average V02 max level of cyclists can be determined by how many hours they…

A: Answer A) Below is the Code image and the full code is in Step 2 The output of Answer A     Answer…

Q: A year in the modern Gregorian Calendar consists of 365 days. In reality, the earth takes longer to…

A: Algorithm to determine Leap year or not: Take the year as input from the user. Check if the year…

Q: Phillip Heer has a gas station with one pump and one hose. Cars can fill up, one at a time, on…

A: It is defined as a term which is often used in programming and algorithm based fields. It is a…

Q: (An LP model for the blending problem) The Exxoff-Still Company must decide how different components…

A: Decision Variables: Let x1, x2, and x3 be the proportions (in barrels) of Cat Gas, IsoIso Gas, and…

Q: Solve the following functions using loops 1. max(x) 2. min(x) use: x={14,3,6,12,8,2,7}

A: C++ code: #include <iostream>using namespace std; //function to find minimum element in…

Q: You wish to drive from point A to point B along a highway minimizing the time that you are stopped…

A: Answer:

Q: 2) and the schedule needs to be decided. Let t1 be the time required to perform show 1 and let t2 be…

A: What Are CONSTRAINTS? Constraints are used to provide rules for a table's data. The type of data…

Q: Please do not give solution in image formate thanku.  5.Lael is always on the lookout for students…

A: In cell M2 in Excel, you can use a nested IF function to accomplish this. If a student has not been…