1) Addison is trying to make money to help pay for college by selling sandwiches

Question

1) Addison is trying to make money to help pay for college by selling sandwiches from a cart at the stadium during ball games. She pays the stadium $35 per night for the use of the cart and sells sandwiches for $1.25 each. Her costs for the sandwiches, condiments, napkins, and other paper products are about 60 cents per sandwich on average. The profit from a single sandwich is, therefore, 65 cents. a. Write an equation that represents profit as a function of sandwiches sold. Use function notation and indicate reasonable units for input and output. b. How many sandwiches does she need to sell in order to break even? c. How many sandwiches does she need to sell in order to make $200 during one ballgame?

Explanation / Answer

Dear Student Thank you for using Chegg !! Fixed cost for cart per night = 35 $ Selling price of Sandwich = 1.25 $ each Cost Price of each sandwich = 0.6 $ each Now profit earned per sandwich = 0.65 $ each Let number of sandwiches sold in a night be x Profit function for one night P(x) = 0.65x - 35 Now for breakeven P(x) = 0 => 0.65x - 35 = 0 x = 53.8461538 => 54 sandwiches c) For a 200 $ profit, number of sandwiches sold => 0.65x - 35 = 200 0.65x = 235 x = 361.538462 => 362 sandwiches need to be sold for a profit of 200$

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