A furniture manufacturing company makes tables, chairs, and stools. Each table requires 100 board-feet of plywood and 12 labor hours and profits S 100 per unit. Each chair requires 60 board-feet of plywood and 10 labor hours and profits $50 per unit. Each stool requires 25 board feet of plywood and 5 hours of labor and profits $30 per unit. If the furniture company used 2,300 board-feet of plywood and 356 labor hours and made a profit of $2,160, how many of cach product did the furniture manufacturing company make?
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Problem 3 (30 Points) Express the following systems of equations in matrix form, then solve each system using matrix operations A) (assume a, B, and y are constants) _ai_ = 0.4 B)0.6 X1 +X2 Problem 4 (25 Points) Represent the following word problem as a system of linear equations, then solve the problem using any technique taught in class. A furniture manufacturing company makes tables, chairs, and stools. Each table requires 100 board-feet of plywood and 12 labor hours and...
ables from two resources-laborat h Solve LDS TUT The Pinewood Furniture Company produces chairs and tables from two mnany has 80 hours of labor and 36 board-ft. of wood available each do for chairs is limited to 6 per day. Each chair requires 8 hours of labor and 2 board. whereas a table requires 10 hours of labor and 6 board-ft. of wood. The profit derived from chair is $400 and from each table, $100. The company wants to determine...
Harry and Melissa Jacobson produce handcrafted furniture in a workshop on their farm. They have obtained a load of 600 board feet of birch from a neighbor and are planning to produce round kitchen tables and ladder back chairs during the next 3 months. Each table will require 30 hours of labor, each chair will require 18 hours, and between them they have a total of 480 hours of labor available. A table requires 40 board feet of wood to...
A Furniture Company produces chairs and tables from two resources- labor and wood. The company has 125 hours of labor and 45 board-ft. of wood available each day. Demand for chairs is limited to 5 per day. Each chair requires 7 hours of labor and 3.5 board-ft. of wood, whereas a table requires 14 hours of labor and 7 board-ft. of wood. The profit derived from each chair is $325 and from each table, $120. The company wants to determine...
A furniture manufacturing company manufactures dining-room tables and chairs. A table requires 10 labor-hours for assembly and 4 labor-hours for finishing. A chair requires 6 labor-hours for assembly and 2 labor-hours for finishing The maximum labor hours available per day for assembly and finishing are 350 and 90, respectively. Write a system of linear inequalities that represents this situation. Use the following variables: Use z for the number of tables and y for the number of chairs manufactured in a...
2 lbs of wicker. Product B requires cing two types of furmiture. Product and 1000 lbs of wicker. Product A earns a profit margin of $30 a unit board feet of wood and Produc is Producing two types of furniture. Product A requires 8 2000 board feet of and avalilable forres 6 board feet of wood and 6 Ibs of wicker. There ane a profit margin of $40 a unit. Formulate the problem as a linear rog 4) Susanna Nanna...
Part I: Multiple Choice 1. The Bamboo Furniture Company manufactures two main products, chairs and recreational tables, for use in summer homes and outdoor porched-in areas. The firm has two main resources: its carpenters (labor) and a supply of Bamboo for use in the furniture. During the next production cycle, 1,200 hours of labor are available under a union agreement. The firm also has a stock of 3,500 feet of good quality Bamboo. Each chair that Bamboo Furniture produces requires...
A furniture manufacturing company manufactures dining-room tables and chairs. A table requires 12 labor-hours for assembly and 3 labor-hours for finishing. A chair requires 11 labor-hours for assembly and 1 labor-hours for finishing. The maximum labor hours available per day for assembly and finishing are 500 and 150, respectively. Write a system of linear inequalities that represents this situation.Use the following variables: Use xx for the number of tables and yy for the number of chairs manufactured in a day.Assembly: ? < >= =< > Finishing: ? =< >= < >
40. Furniture. A furniture manufacturing company manufac- tures dining-room tables and chairs. The relevant manufactur- ing data are given in the table below. oitoon Labor-Hours per Unit Maximum Labor-Hours Table Chair Available per Day 8 2 400 Department Assembly Finishing Profit per unit 1200 $25 (A) How many tables and chairs should be manufactured each day to realize a maximum profit? What is the maximum profit? (B) Discuss the effect on the production schedule and the maximum profit if the...
A small company manufactures three different electronic components for computers. Component A requires 2 hours of fabrication and 1 hour of assembly; component B requires 3 hours of fabrication and 1 hour of assembly, and component C requires 2 hours of fabrication and 2 hours of assembly. The company has up to 950 labor-hours of fabrication time and 700 labor-hours of assembly time available per week. The profit on each component, A, B, and C, is $7, $8, and $10,...