Frederick is making popsicles to sell and to save money he is making his own popsicle sticks. He can get 200 sticks from a 2 x 4 piece of wood and 400 sticks from a 2 x 8 piece of wood. He has $24 to buy wood for sticks. A 2 x 4 costs $4. A 2 x 8 costs $6. What is the most popsicle sticks he can make if he buys the cheapest lumber?
He can buy six 2 x 4's because 24 / 4 = 
<gadget id="calculator">24/4</gadget>
<output>6</output>
6.
He can make 1200 sticks with this wood because 6 x 200 = 
<gadget id="calculator">6*200</gadget>
<output>1_200</output>
1200.
He can buy four 2 x 8's because 24 / 6 = 
<gadget id="calculator">24/6</gadget>
<output>4</output>
4.
He can make 1600 sticks from this because 4 x 400 = 
<gadget id="calculator">4*400</gadget>
<output>1_600</output>
1600.
He can make 1600 sticks if he buys the cheapest lumber because 1600 &gt; 1200.

<result>1_600</result>