Question

Last year I planted 40 watermelon plants in my garden. On average each plant produced 260 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 by 4 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 =( 40 + x ) Output Per Plant = ( 260 - 4x )

Answer 1