Last year I planted 30 watermelon plants in my garden. On average each plant produced 280 pounds of watermelons.

I have a limited amount of water that is used for irrigation. Because of this, for each additional plant added to the garden, the output per plant drops by6 pounds.

I would like to increase the number of plants in my garden, but I am concerned that if I plant too many, that overall production will drop.

How many additional plants should I plant this year in order to maximize the total watermelon output of my garden?

Production = Number of Watermelon Plants * Output Per Plant

Hint:

Let x = The Number of Plants that will be added to my gaden.

Number of Plants =( 30 + x )

Output Per Plant = ( 280 - 6x )