--%>
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 : What is the probability that the film

    T.C.Fox, marketing director for Metro-Goldmine Motion Pictures, believes that the studio's upcoming release has a 60 percent chance of being a hit, a 25 percent chance of being a moderate success, and a 15 percent chance of being a flop. To test the accuracy of his op

    		•
  • Q : Bolzano-Weierstrass property The

    The Bolzano-Weierstrass property does not hold in C[0, ¶] for the infinite set A ={sinnx:n<N} : A is infinite; Show that has no “ limit points”.

    		•
  • Q : What is the definition of a group Group

    Group: Let G be a set. When we say that o is a binary operation on G, we mean that o is a function from GxG into G. Informally, o takes pairs of elements of G as input and produces single elements of G as output. Examples are the operations + and x of

    		•
  • 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 : Explain Factorisation by Fermats method

    Factorisation by Fermat's method: This method, dating from 1643, depends on a simple and standard algebraic identity. Fermat's observation is that if we wish to nd two factors of n, it is enough if we can express n as the di fference of two squares.

    		•
  • 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 : Define terms Terms : Terms are defined

    Terms: Terms are defined inductively by the following clauses.               (i) Every individual variable and every individual constant is a term. (Such a term is called atom

    		•
  • Q : Formal logic2 It's a problem set, they

    It's a problem set, they are attached. it's related to Sider's book which is "Logic to philosophy" I attached the book too. I need it on feb22 but feb23 still work

    		•
  • Q : What is limit x tends to 0 log(1+x)/x

    What is limit x tends to 0  log(1+x)/x to the base a?

  • Q : Who firstly use the finite-difference

    Who firstly use the finite-difference method?

    		•