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October 21, 2014

October 21, 2014

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

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 6:21pmPlot 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 6:24pmlet 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.

- acc math Ripley Elementary School -
**AVA**, Monday, December 14, 2009 at 5:00pm420x2=

and estimate by rounding to the largest place:4587

-2695

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