Kathy has a small business selling apple cider at the farmers' market. She pays $35 per...

 

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Kathy has a small business selling apple cider at the farmers' market. She pays $35 per day to rent her space at the market, and each cup of cider costs her $1. She sells the cider for $2.50 per cup and brings enough cider and cups to sell a maximum of 200 cups in a day. a) Write an equation to model each of the following for 1 day, as a function of the number, n, of cups of cider sold. i) her total cost ii) her revenue, R b) Graph C(n) and R(n) on the same set of axes. c) Use your graph to identify the break-even point and explain what its coordinates mean. d) Develop an algebraic model for the profit function, P(n). e) What is the maximum daily profit Kathy can earn? Kathy has a small business selling apple cider at the farmers' market. She pays $35 per day to rent her space at the market, and each cup of cider costs her $1. She sells the cider for $2.50 per cup and brings enough cider and cups to sell a maximum of 200 cups in a day. a) Write an equation to model each of the following for 1 day, as a function of the number, n, of cups of cider sold. i) her total cost ii) her revenue, R b) Graph C(n) and R(n) on the same set of axes. c) Use your graph to identify the break-even point and explain what its coordinates mean. d) Develop an algebraic model for the profit function, P(n). e) What is the maximum daily profit Kathy can earn?