Find the objective function and the constraints, and then solve the problem by using the Simplex method. A manufacturer makes shirts and jackets. They have 1 press and 1 sewing machine. Each shirt needs minutes sewing and minutes pressing. Each jacket needs minutes sewing and minute pressing. The sewing machine can only operate for minutes per week and press can operate for minutes per week. The profit made is R.O per shirt and R.O per jacket. How many shirts and jackets should be made per week to maximize the profit

Find the objective function and the constraints, and then solve the problem by using the Simplex method. A manufacturer makes shirts and jackets. They have 1 press and 1 sewing machine. Each shirt needs minutes sewing and minutes pressing. Each jacket needs minutes sewing and minute pressing. The sewing machine can only operate for minutes per week and press can operate for minutes per week. The profit made is R.O per shirt and R.O per jacket. How many shirts and jackets should be made per week to maximize the profit

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 64P

See similar textbooks

Similar questions

Lemingtons is trying to determine how many Jean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a normal distribution with mean 400 and standard deviation 100. The contract between Jean Hudson and Lemingtons works as follows. At the beginning of the season, Lemingtons reserves x units of capacity. Lemingtons must take delivery for at least 0.8x dresses and can, if desired, take delivery on up to x dresses. Each dress sells for 160 and Hudson charges 50 per dress. If Lemingtons does not take delivery on all x dresses, it owes Hudson a 5 penalty for each unit of reserved capacity that is unused. For example, if Lemingtons orders 450 dresses and demand is for 400 dresses, Lemingtons will receive 400 dresses and owe Jean 400(50) + 50(5). How many units of capacity should Lemingtons reserve to maximize its expected profit?
The cost per day of running a hospital is 200,000 +0.5x2 dollars, where x is the number of patients served per day. What number of patients served per day minimizes the cost per patient per day of running thehospital if the hospital’s daily capacity is 300 patients? How does the solution change as the hospital’s capacity increases? Let capacity increase from 300 to500 in increments of 25.
Each well that is drilled produces both natural gas and oil. Based on current information, each MCF1 of gas can be sold for $4, while each STB2 of oil can be sold for $80. Due to labor and other constraints, as more wells are drilled, the production per well decreases. Specifically, when one well is drilled, 113629 MCF of gas and 56814 STB of oil per year can be extracted, but every well added reduces the output of each well by 500 MCF of gas and 125 STB of oil per year. Each well costs $1.5 million/ year, while the cost to lease the land is $180,000 per well per year. Each well site’s labor and other miscellaneous costs are $3 million/year. Finally, the fixed facilities costs are $1.25 million annually. 1. Construct the annual profit function 2. Find the number of wells which maximizes annual profit 3. Some of your team members are saying that the number of wells that maximizes profit is 8, but you know that this is incorrect. What did they do wrong? Please show your work for…
Formulate and then solve a linear programming model of this problem, to determine how manycontainers of each product to produce tomorrow to maximize profits. The company makes fourjuice products using orange, grapefruit, and pineapple juice.Product Retail Price per QuartOrange juice $1.00Grapefruit juice .90Pineapple juice .80All-in-One 1.10The All-in-One juice has equal parts of orange, grapefruit, and pineapple juice. Each product isproduced in a one-quart size (there are four quarts in a gallon). On hand are 400 gallons of orangejuice, 300 gallons of grapefruit juice, and 200 gallons of pineapple juice. The cost per gallon is$2.00 for orange juice, $1.60 for grapefruit juice, and $1.40 for pineapple juice.In addition, the manager wants grapefruit juice to be used for no more than 30 percent of thenumber of containers produced. She wants the ratio of the number of containers of orange juice tothe number of containers of pineapple juice to be at least 7 to 5.