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2. The General Store at State University is an auxiliary bookstore located near the dormitories that sell academic supplies, toiletries, sweatshirts and T-shirts, magazines, packaged food items, and canned soft drinks, and fruit drinks. The manager of the store has noticed that several pizza delivery services near campus make frequent deliveries. The manager is therefore considering selling pizza at the store. She could buy premade frozen pizzas and heat them in an oven. The cost of the oven and freezer would be $27,000. The frozen pizzas cost $3.75 each to buy from a distributor and to prepare (including labor and a box). To be competitive with the local delivery services, the manager believes she should sell the pizzas for $8.95 a piece. The manager needs to write up a proposal for the university's director of auxiliary services. a. Determine how many pizzas would have to be sold to break even. b. If The General Store sells 20 pizzas per day, how many days would it take to break even? c. The manager of the store anticipates that once the local pizza delivery services start losing business, they will react by cutting prices. If after a month (30 days) the manager has to lower the price of a pizza to $7.95 to keep demand at 20 pizzas per day, as she expects, what will the new break-even point be, and how long will it take the store to break even? 2

2. The General Store at State University is an auxiliary bookstore located near the dormitories that sell academic supplies, toiletries, sweatshirts and T-shirts, magazines, packaged food items, and canned soft drinks, and fruit drinks. The manager of the store has noticed that several pizza delivery services near campus make frequent deliveries. The manager is therefore considering selling pizza at the store. She could buy premade frozen pizzas and heat them in an oven. The cost of the oven and freezer would be $27,000. The frozen pizzas cost $3.75 each to buy from a distributor and to prepare (including labor and a box). To be competitive with the local delivery services, the manager believes she should sell the pizzas for $8.95 a piece. The manager needs to write up a proposal for the university's director of auxiliary services. a. Determine how many pizzas would have to be sold to break even. b. If The General Store sells 20 pizzas per day, how many days would it take to break even? c. The manager of the store anticipates that once the local pizza delivery services start losing business, they will react by cutting prices. If after a month (30 days) the manager has to lower the price of a pizza to $7.95 to keep demand at 20 pizzas per day, as she expects, what will the new break-even point be, and how long will it take the store to break even? 2

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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2. The General Store at State University is an auxiliary bookstore located near the dormitories that sell academic supplies, toiletries, sweatshirts and T-shirts, magazines, packaged food items, and canned soft drinks, and fruit drinks. The manager of the store has noticed that several pizza delivery services near campus make frequent deliveries. The manager is therefore considering selling pizza at the store. She could buy premade frozen pizzas and heat them in an oven. The cost of the oven and freezer would be $27,000. The frozen pizzas cost $3.75 each to buy from a distributor and to prepare (including labor and a box). To be competitive with the local delivery services, the manager believes she should sell the pizzas for $8.95 a piece. The manager needs to write up a proposal for the university's director of auxiliary services. a. Determine how many pizzas would have to be sold to break even. b. If The General Store sells 20 pizzas per day, how many days would it take to break even? c. The manager of the store anticipates that once the local pizza delivery services start losing business, they will react by cutting prices. If after a month (30 days) the manager has to lower the price of a pizza to $7.95 to keep demand at 20 pizzas per day, as she expects, what will the new break-even point be, and how long will it take the store to break even? 2
Transcribed Image Text:2. The General Store at State University is an auxiliary bookstore located near the dormitories that sell academic supplies, toiletries, sweatshirts and T-shirts, magazines, packaged food items, and canned soft drinks, and fruit drinks. The manager of the store has noticed that several pizza delivery services near campus make frequent deliveries. The manager is therefore considering selling pizza at the store. She could buy premade frozen pizzas and heat them in an oven. The cost of the oven and freezer would be $27,000. The frozen pizzas cost $3.75 each to buy from a distributor and to prepare (including labor and a box). To be competitive with the local delivery services, the manager believes she should sell the pizzas for $8.95 a piece. The manager needs to write up a proposal for the university's director of auxiliary services. a. Determine how many pizzas would have to be sold to break even. b. If The General Store sells 20 pizzas per day, how many days would it take to break even? c. The manager of the store anticipates that once the local pizza delivery services start losing business, they will react by cutting prices. If after a month (30 days) the manager has to lower the price of a pizza to $7.95 to keep demand at 20 pizzas per day, as she expects, what will the new break-even point be, and how long will it take the store to break even? 2
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