Question: Only the 2nd problem is needed. Please solve with simplex method and the answer should be (6,12) for the point 1. A job shop owner

Only the 2nd problem is needed. Please solve with simplex method and the answer should be (6,12) for the point

1. A job shop owner produces two products ( x and y ) daily and sells them to customers. One unit of x requires 1cft and one unit of y requires 2cft and they are stocked in a storage space of 40cft. Product x sells at $4 and y at $3 and the total daily sales must be at least $60 for the sustainability of the shop operation. Three-day production of x and one-day production of y sums to 30 products in total. If the manufacturing cost of product x is $4 and that of y is $1, what should be the product mix to minimize the total cost of production? (a) Given the following formulation, solve the LP problem using the simplex method and write the solution and objective function value. MinimizeZ=4x+ySubjecttox+2y40(Storagecapacity,cft)4x+3y60(Salesvolume,$)3x+y=30(productionratio)x,y0 (b) How much profit does the owner make daily? 2. If the objective function changes to the minZ=x+4y, what is the optimal solution? [Use the optimality condition]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!

Only the 2nd problem is needed. Please solve with simplex method and the answer should be (6,12) for the point 1. A job shop owner produces two products ( x and y ) daily and sells them to customers....

Only the 2nd problem is needed. Not the first problem 1. A job shop owner produces two products ( x and y ) daily and sells them to customers. One unit of x requires 1cft and one unit of y requires...

1. A job shop owner produces two products (x and y) daily and sells them to customers. One unit of x requires 1cft and one unit of y requires 2cft and they are stocked in a storage space of 40cft....

1. A job shop owner produces two products ( x and y ) daily and sells them to customers. One unit of x requires 1cft and one unit of y requires 2ctt and they are stocked in a storage space of 40cft....

A job shop owner produces two products ( x and y ) daily and sells them to customers. One unit of x requires 1ctt and one unit of y requires 2cft and they are stocked in a storage space of 40cft....

Here is the new homework question. Please review the General Homework instructions due to the instructor being so strict. Were there any podcasts or Homework document notes that you needed me to...

MAT540 Homework Week 6 Page 1 of 2 MAT540 Week 6 Homework Chapter 2 1. A Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats and rice, provide vitamins A and B. The...

Assignment 1 1. Food A contains 20 units of vitamin x and 40 units of vitamin y per gram. Food B contains 30 units of each of vitamins x and y. The daily minimum human requirements of vitamin x and y...

When identifying variable costs, why is it important to ask about the additional costs that would be incurred for each new sale? How would this apply to a business where an inventory must be...

Explain the differences between options and swaps and the potential benefits and potential costs of each type of contract.

What is the standard deduction for the status of this tax return? ( i . e . Single, Head of Household, or Widow, or Married ) Multiple Choice $ 1 2 , 9 5 0 None of the above $ 2 5 , 9 0 0 $ 1 9 , 4 0...

Suppose that if the carburetors were purchased, Troy Engines, Limited, could use the freed capacity to launch a new product. The segment margin of the new product would be $170,000 per year. Given...