The Varsity can sell 2000 hamburgers per day at a price of $3 per hamburger and 1500 hamburgers per day at a price of $4. Assume a linear demand function and that the total cost per day of processing x hamburgers is 2x+200 dollars per day. How many hamburgers should be produced and sold per day in order to maximize profits?

Please show and explain steps, thank you.

Question

The Varsity can sell 2000 hamburgers per day at a price of $3 per hamburger and 1500 hamburgers per day at a price of $4. Assume a linear demand function and that the total cost per day of processing x hamburgers is 2x+200 dollars per day. How many hamburgers should be produced and sold per day in order to maximize profits?

Please show and explain steps, thank you.

anonymous · Answer

1500 hamburgers should be produced to maximize the profit