math help needed
posted by michael .
the bookholder company maunfactures two types of bookcases out of oak and walnut. model 01 requires 5 board feet of oak and 2 board feet of walnut. model 02 requires 4 board feet of oak and 3 board feet of walnut. a profit of $75 is made on each model 01 bookcase and a profit of $125 is made on each model 02 bookcase. the company has a supply of 1000 board feet of oak and 600 board feet of walnut. the company has orders for 40 model 01 bookcases and 50 model 02 bookcases. these orders indicate the minimum number the company must manufacture of each moder.
a) write the set of constraints.
b) write the objective function
c) graph the set of constraints
d) determine the number of bookcases of each type the company should manufacture in order
to maximize profits
c) determine the maximum profit
I would graph oak on the y axis, walnut on the x axis. Your constraints are you can not use negative amounts, and the maximum amounts are as given. Plot the two lines for model 1. At 1000bf oak, the point 400,1000 is on the model01 line, choose another point on that line (say 200,500) and draw the line. Do the same for model02. Start with 600,800 as one point, then the next point 300,400, draw the line.
Your objective is to maximize profit. Test the points on the outer edge corners of the figure. you have drawn.
Let me know how this works out.
I would graph oak on the y axis, walnut on the x axis. Your constraints are you can not use negative amounts, and the maximum amounts are as given. Plot the two lines for model 1. At 1000bf oak, the point 400,1000 is on the model01 line, choose another point on that line (say 200,500) and draw the line. Do the same for model02. Start with 600,800 as one point, then the next point 300,400, draw the line.
Your objective is to maximize profit. Test the points on the outer edge corners of the figure. you have drawn.
Let me know how this works out.
I am still confused as silly as that may sound. Math has never been my best subject. Can you give more details.
Respond to this Question
Similar Questions

Math
The Bookholder Company manufactures two types of bookcases out of oal and walnut. Model 01 requires 5 board feet of oak and 2 board feet of walnut. Model 02 requires 4 board feet of oak and 3 board feet of walnut. A profit of $75 is … 
algebra
A board is leaning against a building so that the top of the board reaches a height of 18 feet. The bottom fo the board is on the groung 4 feet away from the wall. What is the slope of the board as a positive number? 
Algebra
Ozark furniture company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple and a modern rocker requires 12 board feet of … 
geometry
Mr. Franco is making a triangular cement slab and needs to set boards before he can pour the cement. He has already set two boards that are 5 feet and 8 feet in length. What is a reasonable range for the length of the third board that … 
Algebra
Please Help Me with this problem:Ozark Furniture Company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple, and a modern … 
math
a picture framer has a board 10 1/12 feet long. the framer notices that 2 3/8 feet of the board is scratched and cannot be used. the rest if the board will be used to make small picture frames. each picture frame needs 1 2/3 feet of … 
Math
Rafi had a board that was 15 1/2 FEET long he cut three pieces off the board that are each 3 and 7/8 feet long how much of the board is left 
Math
Rafi had a board that was 15 1/2 feet long. He cut three pieces off the board that are each 3 7/8 feet long. How much of the board is left? 
Woods
What are the names of 15 types of timber The words are not included Ash Oak Elm Walnut Pine Beach 
algebra 1
a board is leaning against a building so that the top of the board reaches a height of 16 feet. the bottom of the board is on the ground 6 feet away from the wall. what is the slope of the board as a positive number?