Driven by your entrepreneurial spirit, imagine that you decide to carry out the business of your life and market a product whose market behavior is as follows: for every 7 + 1 pesos that the unit price of your product, its weekly demand decreases by 6 + 2 units; the cost of manufacturing each one of your products is equal to 5 + 3 pesos; while, when its unit price is equal to 4 + 4 pesos 321 units of your product are demanded weekly (3 hundreds, 2 tens and 1 units). Consider that the relevant numbers in question are the last seven digits of your license plate in the following order: A07654321. For example, for registration A01357246: for every 1 + 1 = 2 pesos the price will increase unit of your product, its weekly demand would decrease by 3 + 2 = 5 units; the cost of manufacturing each one of your products would be equal to 5 + 3 = 8 pesos; whereas, if its unit price were 7 + 4 = 11 pesos, 246 units of your product would be demanded weekly. So then, formulate the weekly profit of your product based on its unit price (15 points) and then determines the unit price that generates the maximum value of the utility (10 points). To answer the latter, you can do it by hand using derivatives or you can take advantage of the graph of your utility function made in Desmos. If you follow this last alternative, you must include both the graph of your utility function like the active link to the page where you made it: any omission will void your result. You must write your registration for your answer to be worth.