Maximizing Revenue question: A person has a small tomato farm.She can sell the tomatoes for0.30 per pond.She currentll has 1000 plants(tomato) on her farm andobtains 30 pounds per plant.The county agrcultural agent told herthat for each additional plant she adds the number of poundsof tomatoes per plant DECREASES by 0.02 pound.How many plantsshould she add(or subtract) in order to maximize her revenue? 1)What are the variables(unknowns)in this problem? give each avariable letter name 2)what are the constants(numbers)in this problem? 3)How much money(revenue)does she currently make from hertomato farm?? How did you find that answer?? Maximizing Revenue question: A person has a small tomato farm.She can sell the tomatoes for0.30 per pond.She currentll has 1000 plants(tomato) on her farm andobtains 30 pounds per plant.The county agrcultural agent told herthat for each additional plant she adds the number of poundsof tomatoes per plant DECREASES by 0.02 pound.How many plantsshould she add(or subtract) in order to maximize her revenue? 1)What are the variables(unknowns)in this problem? give each avariable letter name 2)what are the constants(numbers)in this problem? 3)How much money(revenue)does she currently make from hertomato farm?? How did you find that answer??
Explanation / Answer
There is only one unknown the number of plants cash pounds #plants y= 0.30 * (30-0.02*x) *(1000+x)=-.006*(x2-500x-1,500,000) To maximize graph you find the max is at x=250 to find what she makes now make x=0 you find its $9000