Problem 1The owners of a farm offer baskets of biological fruits and vegetables.Any family that wants to can subscribe to this service receive a basket of goods every week for the duration of the season.
The farm owners estimate that the demand (in numbers of subscribers) is where the price of subscription is at.
The farm has fixed annual costs of $20,000.
1.1 - Determine the functions of revenues, and benefits per season.
1.2 - What should the price be for a season subscription if the farm owners want to achieve break-even? Precise the break-even interval.
1.3 - Realize a graph of this function (does not need to be to scale) and indicate clearly the coordinates of the intersections with the axes.
1.4 - What should the price be for a season subscription if the farm owners want to maximize profits?
Problem 2In an attempt to reach out to new markets, a hotel decides to offer a service of guided forest expeditions. The manager estimates that the demand will be for 120 tickers per week when the price of a ticket is $60, and that the demand will fall to 90 tickets per week when the price of a ticket is $75. If we assume that the demand is linear, what will be its equation?
Problem 1 The owners of a farm offer baskets of biological fruits and vegetables. Any family that wants to can subscribe to this service receive a basket of goods every week for the duration of the season. The farm owners estimate that the demand (in numbers of subscribers) is where the price of subscription is at. The farm has fixed annual costs of $20,000. 1.1 - Determine the functions of revenues, and benefits per season. 1.2 - What should the price be for a season subscription if the farm owners want to achieve break-even? Precise the break-even interval. 1.3 - Realize a graph of this function (does not need to be to scale) and indicate clearly the coordinates of the intersections with the axes. 1.4 - What should the price be for a season subscription if the farm owners want to maximize profits? Problem 2 In an attempt to reach out to new markets, a hotel decides to offer a service of guided forest expeditions. The manager estimates that the demand will be for 120 tickers per week when the price of a ticket is $60, and that the demand will fall to 90 tickets per week when the price of a ticket is $75. If we assume that the demand is linear, what will be its equation?