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ok so im running this miniature experiment about how to create a pizza menu. i notice whenever i go to a pizza restaurant that the diameter is always advertised on the menu, yet i realize that of course the radius squared is actually what varies proportionally with area not a diameter. so basically i wanted to test if people detect the difference in a linear and quadratic price menu. then i derived three more menus by taking the average of the linear and quadratic menu then the avg from the average with both extreme pricing. however i realize that obviously while quadratic pricing is most accurate it is highly impractical, because then there’s no incentive to buy a large or medium pizza. so basically my question is i have my data and total revenue based on people’s intuition. however, once i calculate revenue i then have to determine the cost i will have to expend for these 5 pizzas. again i assumed no toppings will be placed on a menu. so would cost vary linearly with the diameter of the pizza or quardratically with the area or does anyone have a better model to price my hypothetical menu. thanks.