a.
To find: The quadratic function giving the softball teams profit.
a.
Answer to Problem 5.11MPS
The quadratic function giving the softball teams profit is
Explanation of Solution
Given information: The cost of ticket is $15 per person. For each empty seat the charge is $1.50 per person.
Calculation:
Assume the number of passengers who are not traveling in bus is n.
The revenue is
The expense is
The profit is,
Thus, the quadratic function giving the softball teams profit is
b.
To find: The minimum number of passengers required for the team not to lose money.
b.
Answer to Problem 5.11MPS
The minimum number of passengers required for the team not to lose money is
Explanation of Solution
Given information: The cost of ticket is $15 per person. For each empty seat the charge is $1.50 per person.
Calculation:
The profit is,
Substitute
Thus, the minimum number of passengers required for the team not to lose money is
c.
To find: The maximum profit team can earn.
c.
Answer to Problem 5.11MPS
The maximum profit team can earn is
Explanation of Solution
Given information: The cost of ticket is $15 per person. For each empty seat the charge is $1.50 per person.
Calculation:
The profit is,
Differentiate above equation.
Substitute
Substitute
The required number of passenger is,
Thus, the maximum profit team can earn is
Chapter MPS Solutions
Algebra 2
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