Formulate algebraically linear programming model

Assignment Help Operation Management

Reference no: EM131700202

A product engineer at a midsize electronic manufacturing firm located in Chicago must decide how many computers to produce next month. The firm is planning to produce three types of computers: laptops, desktops and commercial servers.

The product engineer knows that laptops typically yield an average profit of $500, desktops typically yield an average profit of $400 and servers typically yield and average of $650. He also knows that laptops, desktops and servers cost $400, $350 and 500$ respectively to produce and that no more than $70,000 is available for production next month.

Based on market research, the firm would like to obtain a production of at least 20 units of each type of computers, but no more than 25 servers and no more than 40 desktops. Due to the popularity of laptops, the firm would like to produce at least twice as many laptops than desktops and servers combined.

a. Formulate algebraically a linear programming model for this manufacturing problem that maximizes profits based on given constraints.

b) Determine the optimal solution and the maximum profit and include “a managerial statement” that communicates the results of the analyses (i.e. describe verbally the results).

c) Using the answer report determine the amount of slack for the budget constraint of $70,000. Include the answer report and briefly explain your answer.

Reference no: EM131700202

Questions Cloud

Next several decades and mothball manned spaceflight : Is it appropriate, as some advocate, to focus on unmanned missions for the next several decades and “mothball” manned spaceflight?

What is the YTM : A bond sold by NVDIA Corp. has a face value on $100, The first coupon payment occurs a year from now. The market price is $80, what is the YTM

Selecting entry-level marketing research professionals : Assume you are a member of an evaluation committee that is selecting entry-level marketing research professionals for your department.

Matilda boss gives her excellent employee evaluation : Matilda’s boss gives her an excellent employee evaluation and promises her that she’ll get a raise the next quarter.

Formulate algebraically linear programming model : Formulate algebraically a linear programming model for this manufacturing problem that maximizes profits based on given constraints.

How much may scott deduct on his individual return : Paul Corp was formed in 20X1 with an initial capitalization of $2 million. How much may Scott deduct on his individual return for 20X2

Research and located an article discussing snomed : Research and located an article discussing SnoMed Provide a summary of the article which presents the highlights of the article

Determine the break-even point in units : Determine the break-even point in units of Q and Z. If required, round your answers to the nearest whole number

Determine the dollar values for the month of may : Sales were 545 units at $25. Using the FIFO method, determine the dollar values following for the month of May: Ending Inventory

User Account

All Pages