A company charters a party boat that normally costs $60 per person. A group discount reduces...

   

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A company charters a party boat that normally costs $60 per person. A group discount reduces the fare by $0.50 for each ticket sold. The maximum capacity of the boat is 80 people, including the crew of 10 people. What size of the group would maximize the boat company's revenue? (a) Declare the variables and state the units, (b) State the objective function to be optimized. (c) Graph the objective function versus the independent variable declared in (a). (d) Find size of the group that would maximize the boat company's revenue? (e) State your conclusion using complete sentences. 4 points 4 points 4 points 4 points 4 points Some students reserve the buffet room in a restaurant for graduation party. The buffet dinner normally costs $28 per person. A group discount reduces the price by $0.20 for each student who attends. The room's maximum capacity is 80 people. What size of the party would maximize the restaurant's revenue? (a) Declare the variables and state the units. (b) State the objective function to be optimized. (c) Graph the objective function versus the independent variable declared in (a). (d) Find size of the group that would maximize the restaurant's revenue? (e) State your conclusion using complete sentences. 4 points 4 points 4 points 4 points 4 points A rancher plans to use 1200 feet of fencing and a side of her barn to form a rectangular boundary for cattle. What dimensions of the rectangle would maximize the the area? What is that area? (a) Declare the variables and state the units. (b) State the objective function to be optimized. (c) Graph the objective function versus the independent variable declared in (a). (d) Find dimensions of the rectangle that would maximize the the area? (e) State your conclusion in complete sentences. 4 points 4 points 4 points 4 points 4 points A group charters a flight that normally costs $900 per person. A group discount reduces the fare by $15 for each ticket sold. There are 40 seats on the plane, including 4 seats for the crew. What size of the group would maximize the airline's revenue? (a) Declare the variables and state the units. (b) State the objective function to be optimized. (c) Graph the objective function versus the independent variable declared in (a). (d) Find size of the group that would maximize the airline's revenue? (e) State your conclusion using complete sentences. 4 points 4 points. 4 points 4 points 4 points A company charters a party boat that normally costs $60 per person. A group discount reduces the fare by $0.50 for each ticket sold. The maximum capacity of the boat is 80 people, including the crew of 10 people. What size of the group would maximize the boat company's revenue? (a) Declare the variables and state the units, (b) State the objective function to be optimized. (c) Graph the objective function versus the independent variable declared in (a). (d) Find size of the group that would maximize the boat company's revenue? (e) State your conclusion using complete sentences. 4 points 4 points 4 points 4 points 4 points Some students reserve the buffet room in a restaurant for graduation party. The buffet dinner normally costs $28 per person. A group discount reduces the price by $0.20 for each student who attends. The room's maximum capacity is 80 people. What size of the party would maximize the restaurant's revenue? (a) Declare the variables and state the units. (b) State the objective function to be optimized. (c) Graph the objective function versus the independent variable declared in (a). (d) Find size of the group that would maximize the restaurant's revenue? (e) State your conclusion using complete sentences. 4 points 4 points 4 points 4 points 4 points A rancher plans to use 1200 feet of fencing and a side of her barn to form a rectangular boundary for cattle. What dimensions of the rectangle would maximize the the area? What is that area? (a) Declare the variables and state the units. (b) State the objective function to be optimized. (c) Graph the objective function versus the independent variable declared in (a). (d) Find dimensions of the rectangle that would maximize the the area? (e) State your conclusion in complete sentences. 4 points 4 points 4 points 4 points 4 points A group charters a flight that normally costs $900 per person. A group discount reduces the fare by $15 for each ticket sold. There are 40 seats on the plane, including 4 seats for the crew. What size of the group would maximize the airline's revenue? (a) Declare the variables and state the units. (b) State the objective function to be optimized. (c) Graph the objective function versus the independent variable declared in (a). (d) Find size of the group that would maximize the airline's revenue? (e) State your conclusion using complete sentences. 4 points 4 points. 4 points 4 points 4 points

Answer rating: 100% (QA)

a Variables Let x be the number of tickets sold excluding the crew and p be the ticket price after discount Units x people p dollarsperson b Objective Function The revenue generated by the boat compan... View the full answer