The Rightsize Furniture Company manufactures desks, tables, and chairs. The manufacture of each type of furniture requires lumber and two types of skilled labors to do finishing and carpentry work. The amount of each resource needed to make each type of furniture is given below. Currently, 48 board feet of lumber, 20 finishing hours, and 8 carpentry hours are available. A desk sells for $60, a table for $30, and a chair for $20. The company believes that demand for desks and chairs is unlimited, but at most 5 tables could be sold. Resource requirments for Rightsize Furniture Resource Desk Table Chair Board feet of lumber 8 6 1 Finishing hours 4 2 1.5 Carpentry hours 2 1.5 0.5 Denote the decision variables as X1, X2, and X3 units of desks, tables, and chairs to be produced, formulate a linear programming (LP) model aimed to maximize the total revenue for the company under resource constraints. Solve for the LP using the Simplex Method by showing all iteration steps.

The Rightsize Furniture Company manufactures desks, tables, and chairs. The manufacture of each type of furniture requires lumber and two types of skilled labors to do finishing and carpentry work. The amount of each resource needed to make each type of furniture is given below. Currently, 48 board feet of lumber, 20 finishing hours, and 8 carpentry hours are available. A desk sells for $60, a table for $30, and a chair for $20. The company believes that demand for desks and chairs is unlimited, but at most 5 tables could be sold. Resource requirments for Rightsize Furniture Resource Desk Table Chair Board feet of lumber 8 6 1 Finishing hours 4 2 1.5 Carpentry hours 2 1.5 0.5 Denote the decision variables as X1, X2, and X3 units of desks, tables, and chairs to be produced, formulate a linear programming (LP) model aimed to maximize the total revenue for the company under resource constraints. Solve for the LP using the Simplex Method by showing all iteration steps.

Fundamentals Of Construction Estimating

4th Edition

ISBN:9781337399395

Author:Pratt, David J.

Publisher:Pratt, David J.

Chapter7: Measuring Carpentry And Miscellaneous Items

Section: Chapter Questions

Problem 10RQ

See similar textbooks

Similar questions

II. MATERIAL COST 1. A Company produced 1000 tables. To produce 1,000 tables, the company incurred costs of: 950,000 on wood 10,000 on wages for carpenters and 5000 on wages for security guards to overlook the manufacturing facility 1000 for a bag of nails to hold the tables together 5000 for factory rent and utilities What is per unit cost of 1000 tables?
Question 11 Estimate the board feet of 30 pieces of lumber 2 X 6 inches and 10 feet long. 1) 200 2) 100 3) 300 4) 400 Saved
8. Determine how much a builder will pay a lumber wholesaler for 1200 pieces of 2" x 12", 1000 pieces of 2"x4", 900 pieces of 2"x6" and 800 pieces of 2"x10" lumber, each 20 ft long. The price of lumber is $1050 per MBF. 9. What are the allowable stresses of Lumber from grade stamp?
A civil engineer is asked to select a new scraper for his construction form. he collects data from two equipment manufacturers and the data are shown in the table below
Find the question, thanx.
A proposed building structure requires 30 pieces of wooden posts with a diameter of 24 inches and alength of 12 ft. Calculate the total board foot of lumber needed.
Given the table below, calculate the total cost for all the items needed. What would be the total estimate with a 15 percent contingency? If a 10 percent reserve is added, what would be the total estimate? Items Cost/Unit Quantity Wheel $500 12 Bearing $25 400 Clamp $5 40 Nozzle $7 30 Nut $2 40 Caster $55 120
A Contractor/foreman needs lumber to be used for wooden scaffoldings, the set of lumber can be purchase with two options: 1. 40 pcs. of 2 inches by 2 inches by 10 ft, 60 pcs. of 2 inches by 3 inches by 12 ft, and 10 pcs. of 2 inches by 6 inches by 8 ft of good lumber. Determine: a) The amount of each option if the cost per board foot is Php. 45.50 and 32.75 for good lumber and coco lumber respectively.
A flooring subcontractor must install three types of flooring in an existing building. The subcontractor is given 10 days to finish all the work. Assume he has crews to start all three jobs concurrently. Four days after the start of the work, he discovers the following: Type Quantity Unit Total Installed Actual Cost 2. (m) Price Price (m) Carpet 2600 2.30 5980 1600 3150 Vinyl tile 1200 2.95 3540 800 2488 Ceramic 3330 4.95 16484 750 3638 tile Total 7130 26004 What is the Schedule Performance Index (SPI) value for Ceramic tile
Given the following, find the number of days it will take to complete the construction activity: Structural Steel Install = 59 tons Productivity = 18 MH/ton Crew of 6 workers, working 10 hours/day completing the task.
Please show all cash flow diagrams and math calculations
A heating and air-conditioning repair shop keeps 1,500 feet of 3⁄4-inch coppertubing in stock. An inventory shows that there are only 623 feet on hand. Howmany feet of tubing need to be ordered?