Solve the system using the algebraic methods

Assignment Help Operation Management

Reference no: EM131153130

A manufacturing company makes three types of office chairs: Model A, Model B, and Model C. The construction of each chair requires a process involving three departmental steps; material workup, assembly, and packaging. The three departments have a maximum of 30, 53, and 47 hours available each week, respectively. The information is summarized below. Model A Model B Model C Material Workup (hrs) 1 1 1 Assembly (hrs) 2 3 2 Packaging (hrs) 1 2 3 The per unit profit is $40 for Model A, $80 for Model B, and $70 for Model C Let x represent the number of Model A chairs made in a week, y represent the number of Model B made in a week, and z represent the number of Model C chairs made in a week. Let P represent the objective function, where the objective would be to maximize profits.

a) Determine the objective function.

b) Introduce slack variables and set up the initial simplex tableau.

c) Solve the system using the algebraic methods discussed in Section 4.1. Show every step!

d) Report your solution in terms of maximum profit and each variable.

Reference no: EM131153130

Questions Cloud

Product decisions are important in product planning process : As the marketing manager, you know the product (s) has to be right. The PC industry is competitive, lifecycles are short, and the marketing mix ingredients have to be correct. Looking at the points covered in products: Apply the theory of benefits to..

Employment and labor relations : Are current labor laws capable of dealing with labor-management problems, or should they be abolished? If they should be abolished, with what should they be replaced (if anything)?

How does expanding into global context change your analysis : Consider an ethical issue faced by American businesses in the international arena. What are the ethical issues involved? If the issue was domestic, what would the proper solution be? How does expanding into the global context change your analysis?

In an attempt to judge and monitor quality of instruction : In an attempt to judge and monitor the quality of instruction, the administration of? Mega-Byte Academy devised an examination to test students on the basic concepts that all should have learned. Use these data to estimate the center and standard dev..

Solve the system using the algebraic methods : A manufacturing company makes three types of office chairs: Model A, Model B, and Model C. The construction of each chair requires a process involving three departmental steps; material workup, assembly, and packaging. The three departments have a ma..

Use the labor productivity ratio to support : The output of a process is valued at $100 per unit. The cost of labor is $50 per hour including benefits. The accounting department provided the following information about the process for the past four weeks: Use the labor productivity ratio to supp..

Increasingly unpredictable-volatile environmental context : According to Judge (2012) OCC can be conceptualized as the overall capability of an organization to either effectively prepare for or respond to an increasingly unpredictable and volatile environmental context

Security interest by filing financing statement : When Johnson Hardware Shop borrowed $20,000 from First Bank, it used its inventory as collateral for the loan. First Bank perfected its security interest by filing a financing statement. The inventory was subsequently damaged by fire, Flanders Insura..

Oftentimes on national issues like elections : Oftentimes on national issues like elections, you see news media reports polls after polls and each time they point out the results are within the margin of error of ± 3%. You may have been wondering where does the 3% come from. As you learn about co..

User Account

All Pages