--%>
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 : Research Areas in Medical Mathematical

    Some Research Areas in Medical Mathematical Modelling:1. Modeling and numerical simulations of the nanometric aerosols in the lower portion of the bronchial tree. 2. Multiscale mathematical modeling of

    		•
  • Q : Problem on reduced row-echelon The

    The augmented matrix from a system of linear equations has the following reduced row-echelon form. 280_row echelon method.jpg

    		•
  • Q : Problem on mass balance law Using the

    Using the mass balance law approach, write down a set of word equations to model the transport of lead concentration. A) Draw a compartmental model to represent  the diffusion of lead through the lungs and the bloodstream.

    		•
  • Q : What is Non-Logical Vocabulary

    Non-Logical Vocabulary: 1. Predicates, called also relation symbols, each with its associated arity. For our needs, we may assume that the number of predicates is finite. But this is not essential. We can have an infinite list of predicates, P

    		•
  • Q : Statistics Caterer determines that 37%

    Caterer determines that 37% of people who sampled the food thought it was delicious. A random sample of 144 out of population of 5000. The 144 are asked to sample the food. If P-hat is the proportion saying that the food is delicious, what is the mean of the sampling distribution p-hat?

    		•
  • Q : Abstract Algebra let a, b, c, d be

    let a, b, c, d be integers. Prove the following statements: (a) if a|b and b|c. (b) if a|b and ac|bd. (c) if d|a and d|b then d|(xa+yb) for any x, y EZ

    		•
  • Q : Use MS Excel to do the computations

    Select a dataset of your interest (preferably related to your company/job), containing one variable and atleast 100 data points. [Example: Annual profit figures of 100 companies for the last financial year]. Once you select the data, you should compute 4-5 summary sta

    		•
  • Q : Problem on inventory merchandise AB

    AB Department Store expects to generate the following sales figures for the next three months:                            

    		•
  • Q : Where would we be without stochastic

    Where would we be without stochastic or Ito^ calculus?

    		•
  • Q : Problem on budgeted cash collections

    XYZ Company collects 20% of a month's sales in the month of sale, 70% in the month following sale, and 5% in the second month following sale. The remainder is not collectible. Budgeted sales for the subsequent four months are:     

    		•