Suppose you are the owner of the Sizzling Sauce Company. Your company makes two different kinds of sauce, Red Hot Sauce and Scorching Hot Sauce. Red Hot Sauce Yield: 1 pint 1 pt tomato sauce 5 green peppers, diced 4 hot chili peppers, seeded and diced Scorching Hot Sauce Yield: 1 pint 1 pt tomato sauce 4 green peppers, diced 8 hot chili peppers, seeded and diced As the owner of a small but successful business, you want to minimize costs, maximize profit, and keep customers satisfied by filling orders promptly. Activity 1: Graphing To fill an order for Sizzling Sauce sauces, you bought 1050 green peppers and 1200 hot chili peppers. . Write and graph a system of inequalities to represent the number of pints of each kind of sauce you can make. Refer to the recipes above. Select one solution of the system and determine how many peppers you will have left over. Activity 2: Analyzing Suppose you make $1.20 per pint profit on Red Hot Sauce and $1.00 per pint profit on Scorching Hot Sauce. Using the restrictions from Activity 1, decide how much of each sauce you should produce and sell to maximize your profit. What is the maximum profit? Activity 3: Research Visit a local grocery store to estimate the cost of each sauce ingredient. Remember that buying in large quantities can save you money. Find the cost of producing 1 pint of each type of sauce. What selling price will you set for each sauce to maintain your profit? Activity 4: Selling You can sell your sauce to a supermarket chain, a local grocery store, and a specialty store. The supermarket will buy 288 pints every eight weeks, the grocery store will buy 60 pints every four weeks, and the specialty store will buy 24 pints each week. How many pints of sauce should you produce each week to fill these orders? Presume that you want to produce the same number of pints each week, and that the type sauce is not a factor in filling these orders. Design a spreadsheet to track your stock of sauce after each week.