--%>
Assignment Help - homework help

Linear programming model of a Cabinet company

A cabinet company produces cabinets used in mobile and motor homes. Cabinets produced for motor homes are smaller and made from less expensive materials than those for mobile homes. The home office in Dayton Ohio has just distributed to its individual manufacturing centres the production quotas required during the upcoming quarter. The scheduled production requirements for the Huber Heights OHOI plant are provided in the table below.

2321_cabinet.jpg

Each motor home cabinet requires three man hours to produce whereas each mobile home cabinet requires five man hours. Labor rates normally average $18 pr hour. During July and august however when the company employs many part time workers labor rates only average $14 and $16 per hours respectively. A total of 2.100 man hours are available in July 1,500 in august and 1,200 in September. During any given month management can schedule up to 50% additional man hours using overtime as the standard rate of time and a half. Material costs of motor home cabinets are $146andfor mobile home cabinets they are $210.

The plant expects to have 25 motor home an d20 mobile home assembled cabinets in stock at the beginning of July. The home office wants the plant to have at least 10 motor home and 25 mobile cabinet assemblies in stocks at the beginning of October to cover possible shortages in production at the other plants.

The plants has storage facilities capable of holding up to 300 cabinets in any one month. The costs for storing motor home cabinets is $6 pr cabinet and $9 for storing mobile home cabinets per cabinet.
Formulate a linear programming model to help management devise a monthly production schedule for the next quarter that will minimize their costs over the quarter. Report back the production and storage levels. Report costs per month in addition to the total costs.

Implement your formulation in excel and fin d the optimal solution using solver. Summarize your solution (decision variable values and objective functions value ) below your formulation. Report back the production and storage levels. Report costs per month in addition to the total costs.

   Related Questions in Mathematics

  • Q : Breakfast program if the average is

    if the average is 0.27 and we have $500 how much break fastest will we serve by 2 weeks

    		•
  • Q : Mean and standard deviation of the data

    Below is the amount of rainfall (in cm) every month for the last 3 years in a particular location: 130 172 142 150 144 117 165 182 104 120 190 99 170 205 110 80 196 127 120 175

    		•
  • Q : Relationships Between Data Introduction

    Relationships Between Data - Introduction to Linear Regression Simple Regression Notes If you need guidance in terms of using Excel to run regressions, check pages 1 - 10 of the Excel - Linear Regression Tutorial posted to th

    		•
  • Q : Formulating linear program of a

    A software company has a new product specifically designed for the lumber industry. The VP of marketing has been given a budget of $1,35,00to market the product over the quarter. She has decided that $35,000 of the budget will be spent promoting the product at the nat

    		•
  • Q : Where would we be without stochastic

    Where would we be without stochastic or Ito^ calculus?

    		•
  • Q : State Prime number theorem Prime number

    Prime number theorem: A big deal is known about the distribution of prime numbers and of the prime factors of a typical number. Most of the mathematics, although, is deep: while the results are often not too hard to state, the proofs are often diffic

    		•
  • Q : Competitive equilibrium 8. Halloween is

    8. Halloween is an old American tradition. Kids go out dressed in costume and neighbors give them candy when they come to the door. Spike and Cinderella are brother and sister. After a long night collecting candy, they sit down as examine what they have. Spike fi

    		•
  • Q : Explain Black–Scholes model Explain

    Explain Black–Scholes model.

    		•
  • Q : Uniform scaling what is uniform scaling

    what is uniform scaling in computer graphic

    		•
  • Q : Problem on augmented matrix Consider

    Consider the following system of linear equations.  (a) Write out t

    		•