When three positive numbers are added together, their sum is 36. One of the numbers is double one of the other numbers. What three numbers will give a maximum product and what is the maximum product? A farmer wants to build four adjacent pens for his animals, as shown. The farmer has a total of 2 600m of fencing to build these pens. What dimensions should he build them in order to maximize the area of the pens and what is the maximum area? 3 An electronics store sells 1200 tablets per week at a price of $350 each. Market research shows that 80 more tablets could be sold per week each time the price is lowered by $10. Determine the price that will maximize revenue and determine the maximum revenue.Steps to solving optimization problems : D Write an equation for the quantity that you need to maximize or minimize. (2) a) Find the constraint equation b) use the constraint equation to determine the domain 3 Solve for one of the variables in the equation you found in 2. 4 Find the critical numbers ( let f (x ) = 0 and solve) then check endpoints to determine where the may / min occurs