--%>
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 : Area Functions & Theorem Area Functions

    Area Functions 1. (a) Draw the line y = 2t + 1 and use geometry to find the area under this line, above the t - axis, and between the vertical lines t = 1 and t = 3. (b) If x > 1, let A(x) be the area of the region that lies under the line y = 2t + 1 between t

    		•
  • Q : Mathematical and Theoretical Biology

    Mathematical and theoretical biology is an interdisciplinary scientific research field with a range of applications in the fields of biology, biotechnology, and medicine. The field may be referred to as mathematical biology or biomathematics to stress the mathematical

    		•
  • Q : Nonlinear integer programming problem

    Explain Nonlinear integer programming problem with an example ?

    		•
  • 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 : Who had find Monte Carlo and finite

    Who had find Monte Carlo and finite differences of the binomial model?

    		•
  • Q : Abstract Boolean Algebra I. Boolean

    I. Boolean Algebra Define an abstract Boolean Algebra, B,  as follows:  The three operations are:  +   ( x + y addition) ( x y multiplic

    		•
  • Q : Test Please read the assignment

    Please read the assignment carefully and confirm only if you are 100% sure. Please go through below mentioned guidelines and penalties: • Your solution must be accurate and complete. • Please do not change Subject Title of the Email. • Penalty clause will be applied in case of delayed or plag

    		•
  • Q : Who firstly discovered mathematical

    Who firstly discovered mathematical theory for random walks, that rediscovered later by Einstein?

    		•
  • Q : State Fermat algorithm The basic Fermat

    The basic Fermat algorithm is as follows: Assume that n is an odd positive integer. Set c = [√n] (`ceiling of √n '). Then we consider in turn the numbers c2 - n; (c+1)2 - n; (c+2)2 - n..... until a perfect square is found. If th

    		•
  • Q : Problem on mixed-strategy equilibrium

    Assume three Offices (A, B, & C) in downtown,  simultaneously decide whether to situate in a new Building. The payoff matrix is illustrated below. What is (are) the pure stratgy Nash equilibrium (or equilibria) and mixed-strtegy equilibrium of the game?

    		•