A manufacturer finds that the revenue generated by selling x units of a certain commodity is...

  

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A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 80x - 0.2x, where the revenue R(x) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum? units $ , at 11. [-/3 Points] DETAILS SPRECALC7 3.1.063. Carol has 1100 ft of fencing to fence in a rectangular horse corral. 550 = x (a) Find a function that models the area A of the corral in terms of the width x of the corral. A(x) = (b) Find the dimensions of the rectangle that maximize the area of the corral. width ft length ft MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 12. [-/3 Points] A baseball team plays in a stadium that holds 58,000 spectators. With the ticket price at $10, the average attendance at recent games has been 21,000. A market survey indicates that for every dollar the ticket price is lowered, attendance increases by 3000. (a) Find a function that models the revenue in terms of ticket price. (Let x represent the price of a ticket and R represent the revenue.) R(x) = DETAILS SPRECALC7 3.1.065. (b) Find the price that maximizes revenue from ticket sales. $ (c) What ticket price is so high that no revenue is generated? $ MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x) = 80x - 0.2x, where the revenue R(x) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum? units $ , at 11. [-/3 Points] DETAILS SPRECALC7 3.1.063. Carol has 1100 ft of fencing to fence in a rectangular horse corral. 550 = x (a) Find a function that models the area A of the corral in terms of the width x of the corral. A(x) = (b) Find the dimensions of the rectangle that maximize the area of the corral. width ft length ft MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 12. [-/3 Points] A baseball team plays in a stadium that holds 58,000 spectators. With the ticket price at $10, the average attendance at recent games has been 21,000. A market survey indicates that for every dollar the ticket price is lowered, attendance increases by 3000. (a) Find a function that models the revenue in terms of ticket price. (Let x represent the price of a ticket and R represent the revenue.) R(x) = DETAILS SPRECALC7 3.1.065. (b) Find the price that maximizes revenue from ticket sales. $ (c) What ticket price is so high that no revenue is generated? $ MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER