Posted by **michael** on Wednesday, June 6, 2007 at 6:41pm.

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.