Homework Help Forum: acc math 2 high school

Posted by preston jones on Saturday, August 8, 2009 at 6:04pm.

I need help finding constraints to put this on the graph. the objective function is c=16x+25y. Problem: Your club plans to raisse money by selling two sizes of fruit baskets. The plan is to buy small baskets for $10 and sell them for $16, and to buy large baskets for $15 and sell them for $25. The club president estimates that you will not sell more than 100 baskets. Your club can afford up to $1200 to buy baskets. Find the number of small and large baskets you should buy in order to maximize profit. This is a Linear Programming Problem

• acc math 2 high school - bobpursley, Saturday, August 8, 2009 at 6:21pm

  Plot small baskets on vertical axis, large on the horizontal axis. Constraints: x, nor y can be less than zero. x+y=100. and finally, 10y + 15x<=1200 So, plot the lines y=-x + 100, then y=120-1/5x Now test the corners for profit. Remember Profit is income-costs. At one of the corners, you will get max profit.

  
  

• acc math 2 high school - Marth, Saturday, August 8, 2009 at 6:24pm

  let x = number of small baskets let y = number of large baskets There are two constraints given: "The club president estimates that you will not sell more than 100 baskets." The total number of baskets <= 100: so x + y <= 100 "Your club can afford up to $1200 to buy baskets." 10x + 15y <= 1200, because the cost of buying one small basket is $10, and the cost of buying one large basket is $25 Note that profit is p= (16-10)x + (25-15)y because you have to buy the baskets.

  
  

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